메뉴 건너뛰기




Volumn 47, Issue 6, 2011, Pages 450-479

Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles

Author keywords

Optimization under uncertainty; Reliability based design optimization; Robust design optimization; UMDO procedure; Uncertainty analysis; Uncertainty based multidisciplinary design optimization

Indexed keywords

MULTIDISCIPLINARY DESIGN OPTIMIZATION; OPTIMIZATION UNDER UNCERTAINTY; RELIABILITY-BASED DESIGN OPTIMIZATION; ROBUST DESIGN OPTIMIZATION; UMDO PROCEDURE;

EID: 80052732756     PISSN: 03760421     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.paerosci.2011.05.001     Document Type: Review
Times cited : (494)

References (366)
  • 4
    • 0000813562 scopus 로고
    • Linear programming under uncertainty
    • B.G. Dantzig Linear programming under uncertainty Management Science 1 34 1955 197 206
    • (1955) Management Science , vol.1 , Issue.34 , pp. 197-206
    • Dantzig, B.G.1
  • 5
    • 0000581072 scopus 로고
    • The introduction of risk into a programming model
    • R.J. Freund The introduction of risk into a programming model Econometrica 24 3 1956 253 263
    • (1956) Econometrica , vol.24 , Issue.3 , pp. 253-263
    • Freund, R.J.1
  • 6
    • 1942500445 scopus 로고    scopus 로고
    • Optimization under uncertainty: State-of-the-art and opportunities
    • DOI 10.1016/j.compchemeng.2003.09.017, PII S0098135403002369
    • N.V. Sahinidis Optimization under uncertainty: state-of-the-art and opportunities Computers and Chemical Engineering 28 67 2004 971 983 (Pubitemid 38520953)
    • (2004) Computers and Chemical Engineering , vol.28 , Issue.6-7 , pp. 971-983
    • Sahinidis, N.V.1
  • 8
    • 0022518623 scopus 로고
    • Bibliography of literature on reliability in civil engineering
    • DOI 10.1016/0026-2714(86)90778-X
    • B.S. Dhillon, and J.S. Belland Bibliography of literature on reliability in civil engineering Microelectronics and Reliability 26 1 1986 99 121 (Pubitemid 16534225)
    • (1986) Microelectronics Reliability , vol.26 , Issue.1 , pp. 99-121
    • Dhillon, B.S.1    Belland, J.S.2
  • 10
    • 0037400057 scopus 로고    scopus 로고
    • Life-cycle reliability-based optimization of civil and aerospace structures
    • D.M. Frangopol, and K. Maute Life-cycle reliability-based optimization of civil and aerospace structures Computers and Structures 81 7 2003 397 410
    • (2003) Computers and Structures , vol.81 , Issue.7 , pp. 397-410
    • Frangopol, D.M.1    Maute, K.2
  • 11
    • 33749533293 scopus 로고    scopus 로고
    • Aerospace applications of optimization under uncertainty
    • DOI 10.1007/s11081-006-9974-7, Special Issue on Optimazation Under Uncertainty
    • S.L. Padula, C.R. Gumbert, and W. Li Aerospace applications of optimization under uncertainty Optimization and Engineering 7 3 2006 317 328 (Pubitemid 44523951)
    • (2006) Optimization and Engineering , vol.7 , Issue.3 , pp. 317-328
    • Padula, S.L.1    Gumbert, C.R.2    Li, W.3
  • 17
    • 34547545274 scopus 로고    scopus 로고
    • Nonlinear plate aeroelastic response with uncertain stiffness and boundary conditions
    • N.J. Lindsley, C.L. Pettit, and P.S. Beran Nonlinear plate aeroelastic response with uncertain stiffness and boundary conditions Structure and Infrastructure Engineering 2 34 2006 201 220
    • (2006) Structure and Infrastructure Engineering , vol.2 , Issue.34 , pp. 201-220
    • Lindsley, N.J.1    Pettit, C.L.2    Beran, P.S.3
  • 23
    • 46049090912 scopus 로고    scopus 로고
    • Reliability-based multidisciplinary optimization for aircraft wing design
    • X. Yu, and X. Du Reliability-based multidisciplinary optimization for aircraft wing design Structure and Infrastructure Engineering 2 3-4 2006 277 289
    • (2006) Structure and Infrastructure Engineering , vol.2 , Issue.34 , pp. 277-289
    • Yu, X.1    Du, X.2
  • 26
    • 24744441184 scopus 로고    scopus 로고
    • A framework for understanding uncertainty and its mitigation and exploitation in complex systems
    • Massachusetts Institute of Technology
    • Hastings D, McManus H. A framework for understanding uncertainty and its mitigation and exploitation in complex systems. In: 2004 engineering systems symposium, Massachusetts Institute of Technology, 2004.
    • (2004) 2004 Engineering Systems Symposium
    • Hastings, D.1    McManus, H.2
  • 27
    • 85077032518 scopus 로고    scopus 로고
    • Uncertainty modeling and management in multidisciplinary analysis and synthesis
    • Reno, NV, AIAA-2000-0422
    • DeLaurentis DA, Mavris DN. Uncertainty modeling and management in multidisciplinary analysis and synthesis. In: 38th aerospace sciences meeting and exhibit, Reno, NV, AIAA-2000-0422, 2000.
    • (2000) 38th Aerospace Sciences Meeting and Exhibit
    • Delaurentis, D.A.1    Mavris, D.N.2
  • 28
    • 80052771572 scopus 로고    scopus 로고
    • IEEE guide for the definition of reliability program plans for nuclear power generating stations. IEEE Std. 933-1999, 1999
    • IEEE guide for the definition of reliability program plans for nuclear power generating stations. IEEE Std. 933-1999, 1999.
  • 30
    • 80052779490 scopus 로고    scopus 로고
    • MIL-STD-785REVB reliability program for systems and equipment development and production. MIL-STD-785B, US Department of Defense, 1980
    • MIL-STD-785REVB reliability program for systems and equipment development and production. MIL-STD-785B, US Department of Defense, 1980.
  • 32
    • 84859577990 scopus 로고    scopus 로고
    • PhD dissertation, Indian Institute of Technology
    • Mohan NS. Robust design. PhD dissertation, Indian Institute of Technology, 2002.
    • (2002) Robust Design
    • Mohan, N.S.1
  • 35
    • 31344479597 scopus 로고    scopus 로고
    • Robust optimization: An overview
    • G. Park, T. Lee, K.H. Lee, and K. Hwang Robust optimization: an overview AIAA Journal 44 1 2006 181 191
    • (2006) AIAA Journal , vol.44 , Issue.1 , pp. 181-191
    • Park, G.1    Lee, T.2    Lee, K.H.3    Hwang, K.4
  • 37
    • 33746384487 scopus 로고    scopus 로고
    • A methodology for trading-off performance and robustness under uncertainty
    • DOI 10.1115/1.2202883
    • Z.P. Mourelatos, and L. Jinghong A methodology for trading-off performance and robustness under uncertainty Journal of Mechanical Design 128 4 2006 856 863 (Pubitemid 44123174)
    • (2006) Journal of Mechanical Design, Transactions of the ASME , vol.128 , Issue.4 , pp. 856-863
    • Mourelatos, Z.P.1    Liang, J.2
  • 41
    • 0028131950 scopus 로고
    • Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability
    • DOI 10.1111/j.1539-6924.1994.tb00281.x
    • F.O. Hoffman, and J.S. Hammonds Propagation of uncertainty in risk assessments: the need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability Risk Analysis 14 5 1994 707 712 (Pubitemid 24362981)
    • (1994) Risk Analysis , vol.14 , Issue.5 , pp. 707-712
    • Hoffman, F.O.1    Hammonds, J.S.2
  • 42
    • 0000490093 scopus 로고    scopus 로고
    • Treatment of aleatory and epistemic uncertainty in performance assessments for complex systems
    • J.C. Helton, and D.E. Burmaster Treatment of aleatory and epistemic uncertainty in performance assessments for complex systems Reliability Engineering and System Safety 54 23 1996 91 94
    • (1996) Reliability Engineering and System Safety , vol.54 , Issue.23 , pp. 91-94
    • Helton, J.C.1    Burmaster, D.E.2
  • 46
    • 70249128562 scopus 로고    scopus 로고
    • Uncertainty classification for the design and development of complex systems
    • Newport Beach, CA
    • Thunnissen DP. Uncertainty classification for the design and development of complex systems. In: The third annual predictive methods conference, Newport Beach, CA, 2003.
    • (2003) The Third Annual Predictive Methods Conference
    • Thunnissen, D.P.1
  • 50
    • 0034250264 scopus 로고    scopus 로고
    • A methodology for managing the effect of uncertainty in simulation-based design
    • X. Du, and W. Chen A methodology for managing the effect of uncertainty in simulation-based design AIAA Journal 38 8 2000 1471 1478
    • (2000) AIAA Journal , vol.38 , Issue.8 , pp. 1471-1478
    • Du, X.1    Chen, W.2
  • 51
  • 56
    • 0034190746 scopus 로고    scopus 로고
    • Towards a unified theory of imprecise probability
    • DOI 10.1016/S0888-613X(00)00031-1, PII S0888613X00000311
    • P. Walley Towards a unified theory of imprecise probability International Journal of Approximate Reasoning 24 23 2000 125 148 (Pubitemid 34200943)
    • (2000) International Journal of Approximate Reasoning , vol.24 , Issue.2-3 , pp. 125-148
    • Walley, P.1
  • 57
    • 0028034026 scopus 로고
    • When and how can you specify a probability distribution when you don't know much?
    • DOI 10.1111/j.1539-6924.1994.tb00280.x
    • Y.Y. Haimes, T. Barry, and J.H. Lambert When and how can you specify a probability distribution when you dont know much? Risk Analysis 14 5 1994 661 706 (Pubitemid 24362980)
    • (1994) Risk Analysis , vol.14 , Issue.5 , pp. 661-706
    • Haimes, Y.Y.1    Barry, T.2    Lambert, J.H.3
  • 58
    • 0028149336 scopus 로고
    • Assessment of variability and uncertainty distributions for practical risk analyses
    • D. Hattisl, and D.E. Burmaste Assessment of variability and uncertainty distributions for practical risk analyses Risk Analysis 14 5 1994 713 730
    • (1994) Risk Analysis , vol.14 , Issue.5 , pp. 713-730
    • Hattisl, D.1    Burmaste, D.E.2
  • 62
    • 0037484351 scopus 로고    scopus 로고
    • Probabilistic methods for aerospace system conceptual design
    • N. Smith, and S. Mahadevan Probabilistic methods for aerospace system conceptual design Journal of Spacecraft and Rockets 40 3 2003 411 418
    • (2003) Journal of Spacecraft and Rockets , vol.40 , Issue.3 , pp. 411-418
    • Smith, N.1    Mahadevan, S.2
  • 65
    • 42949176250 scopus 로고    scopus 로고
    • Spacecraft reliability-based design optimization under uncertainty including discrete variables
    • DOI 10.2514/1.28827
    • R. Hassan, and W. Crossley Spacecraft reliability-based design optimization under uncertainty including discrete variables Journal of Spacecraft and Rockets 45 2 2008 394 405 (Pubitemid 351618208)
    • (2008) Journal of Spacecraft and Rockets , vol.45 , Issue.2 , pp. 394-405
    • Hassan, R.1    Crossley, W.2
  • 66
    • 33846545663 scopus 로고    scopus 로고
    • Bayesian reliability based design optimization under both aleatory and epistemic uncertainties
    • Portsmouth, Virginia, AIAA-2006-6928
    • Youn BD, Wang P. Bayesian reliability based design optimization under both aleatory and epistemic uncertainties. In: 11th AIAA/ISSMO multidisciplinary analysis and optimization conference, Portsmouth, Virginia, AIAA-2006-6928, 2006.
    • (2006) 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
    • Youn, B.D.1    Wang, P.2
  • 67
    • 77955177614 scopus 로고    scopus 로고
    • Bayesian reliability analysis with evolving, insufficient, and subjective data sets
    • P. Wang, B.D. Youn, Z. Xi, and A. Kloess Bayesian reliability analysis with evolving, insufficient, and subjective data sets Journal of Mechanical Design 131 11 2009 111008
    • (2009) Journal of Mechanical Design , vol.131 , Issue.11 , pp. 111008
    • Wang, P.1    Youn, B.D.2    Xi, Z.3    Kloess, A.4
  • 68
    • 78649573358 scopus 로고    scopus 로고
    • Managing uncertainty in reliability analysis with Bayesian inference and uncertainty propagation
    • Nashville, Tennessee, AIAA-2010-2594
    • Yu BH, Van Kuiken CJA, Telford DG. Managing uncertainty in reliability analysis with Bayesian inference and uncertainty propagation. In: US Air Force T&E Days 2010, Nashville, Tennessee, AIAA-2010-2594, 2010.
    • (2010) US Air Force T&E Days 2010
    • Yu, B.H.1    Van Kuiken Cja2    Telford, D.G.3
  • 75
    • 34447104320 scopus 로고    scopus 로고
    • A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory
    • DOI 10.1016/j.cma.2006.10.049, PII S004578250700120X
    • J.C. Heltona, J.D. Johnson, W.L. Oberkampf, and C.B. Storlie A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory Computer Methods in Applied Mechanics and Engineering 196 3740 2007 3980 3998 (Pubitemid 47029551)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.37-40 SPEC. ISS. , pp. 3980-3998
    • Helton, J.C.1    Johnson, J.D.2    Oberkampf, W.L.3    Storlie, C.B.4
  • 76
    • 0042127630 scopus 로고    scopus 로고
    • Investigation of evidence theory for engineering applications
    • Denver, Colorado, AIAA-2002-1569
    • Oberkampf WL, Helton JC. Investigation of evidence theory for engineering applications. In: Fourth non-deterministic approaches forum, Denver, Colorado, AIAA-2002-1569, 2002.
    • (2002) Fourth Non-deterministic Approaches Forum
    • Oberkampf, W.L.1    Helton, J.C.2
  • 79
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • L.A. Zadeh Fuzzy sets as a basis for a theory of possibility Fuzzy Sets and Systems 1 1 1978 3 28
    • (1978) Fuzzy Sets and Systems , vol.1 , Issue.1 , pp. 3-28
    • Zadeh, L.A.1
  • 81
    • 0031120348 scopus 로고    scopus 로고
    • Analytical-experimental comparison of probabilistic methods and fuzzy set based methods for designing under uncertainty
    • G. Maglaras, E. Nikolaidis, R.T. Haftka, and H.H. Cudney Analytical-experimental comparison of probabilistic methods and fuzzy set based methods for designing under uncertainty Structural and Multidisciplinary Optimization 13 23 1997 69 80 (Pubitemid 127676950)
    • (1997) Structural Optimization , vol.13 , Issue.2-3 , pp. 69-80
    • Maglaras, G.1    Nikolaidis, E.2    Haftka, R.T.3    Cudney, H.H.4
  • 82
    • 0032115869 scopus 로고    scopus 로고
    • Fuzzy number theory to obtain conservative results with respect to probability
    • PII S0045782597003010
    • P. Ferrari, and M. Savoia Fuzzy number theory to obtain conservative results with respect to probability Computer Methods in Applied Mechanics and Engineering 160 34 1998 205 222 (Pubitemid 128369451)
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.160 , Issue.3-4 , pp. 205-222
    • Ferrari, P.1    Savoia, M.2
  • 84
    • 4344569618 scopus 로고    scopus 로고
    • Comparison of probability and possibility for design against catastrophic failure under uncertainty
    • E. Nikolaidis, S. Chen, H. Cudney, R.T. Haftka, and R. Rosca Comparison of probability and possibility for design against catastrophic failure under uncertainty Journal of mechanical design 126 3 2004 386 394
    • (2004) Journal of Mechanical Design , vol.126 , Issue.3 , pp. 386-394
    • Nikolaidis, E.1    Chen, S.2    Cudney, H.3    Haftka, R.T.4    Rosca, R.5
  • 85
    • 0032595413 scopus 로고    scopus 로고
    • Non-deterministic possibilistic approaches for structural analysis and optimal design
    • V. Braibant, A. Oudshoorn, C. Boyer, and F. Delcroix Non-deterministic possibilistic approaches for structural analysis and optimal design AIAA Journal 37 10 1999 1298 1303
    • (1999) AIAA Journal , vol.37 , Issue.10 , pp. 1298-1303
    • Braibant, V.1    Oudshoorn, A.2    Boyer, C.3    Delcroix, F.4
  • 87
    • 24144488688 scopus 로고    scopus 로고
    • Reliability estimation and design with insufficient data based on possibility theory
    • Z.P. Mourelatos, and J. Zhou Reliability estimation and design with insufficient data based on possibility theory AIAA Journal 43 8 2005 1696 1705 (Pubitemid 41229938)
    • (2005) AIAA Journal , vol.43 , Issue.8 , pp. 1696-1705
    • Mourelatos, Z.P.1    Zhou, J.2
  • 89
    • 0034322487 scopus 로고    scopus 로고
    • Unified approach to probabilistic and possibilistic analysis of uncertain systems
    • R.S. Langley Unified approach to probabilistic and possibilistic analysis of uncertain systems Journal of Engineering Mechanics 126 11 2000 1163 1172
    • (2000) Journal of Engineering Mechanics , vol.126 , Issue.11 , pp. 1163-1172
    • Langley, R.S.1
  • 90
    • 0041510628 scopus 로고    scopus 로고
    • A hybrid possibilisticprobabilistic analysis framework for uncertainty management
    • Norfolk, Virginia, AIAA-2003-1573
    • Shin Y, Wu Y. A hybrid possibilisticprobabilistic analysis framework for uncertainty management. In: 44th AIAA/ASME/ASCE/AHS structures, structural dynamics, and materials, Norfolk, Virginia, AIAA-2003-1573, 2003.
    • (2003) 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials
    • Shin, Y.1    Wu, Y.2
  • 92
    • 0000448462 scopus 로고    scopus 로고
    • Analysis of uncertain structural systems using interval analysis
    • S.S. Rao, and L. Berke Analysis of uncertain structural systems using interval analysis AIAA Journal 35 4 1997 727 735 (Pubitemid 127580085)
    • (1997) AIAA Journal , vol.35 , Issue.4 , pp. 727-735
    • Rao, S.S.1    Berke, L.2
  • 93
    • 0036751036 scopus 로고    scopus 로고
    • Optimum design of mechanical systems involving interval parameters
    • DOI 10.1115/1.1479691
    • S.S. Rao, and C. Lingtao Optimum design of mechanical systems involving interval parameters Journal of Mechanical Design 124 3 2002 465 472 (Pubitemid 35202444)
    • (2002) Journal of Mechanical Design, Transactions of the ASME , vol.124 , Issue.3 , pp. 465-472
    • Rao, S.S.1    Cao, L.2
  • 94
    • 62149140160 scopus 로고    scopus 로고
    • Interval-based multi-objective optimization of aircraft wings under gust loads
    • L. Majumder, and S.S. Rao Interval-based multi-objective optimization of aircraft wings under gust loads AIAA Journal 47 3 2009 563 575
    • (2009) AIAA Journal , vol.47 , Issue.3 , pp. 563-575
    • Majumder, L.1    Rao, S.S.2
  • 97
    • 0028167365 scopus 로고
    • A non-probabilistic concept of reliability
    • DOI 10.1016/0167-4730(94)90013-2
    • Y. Ben-Haim A non-probabilistic concept of reliability Structural Safety 14 4 1994 227 245 (Pubitemid 24431614)
    • (1994) Structural Safety , vol.14 , Issue.4 , pp. 227-245
    • Ben-Haim, Y.1
  • 98
    • 0040612388 scopus 로고
    • Convex models of uncertainty: Applications and implications
    • Y. Ben-Haim Convex models of uncertainty: applications and implications Erkenntnis 41 2 1994 139 156
    • (1994) Erkenntnis , vol.41 , Issue.2 , pp. 139-156
    • Ben-Haim, Y.1
  • 100
    • 2642517951 scopus 로고    scopus 로고
    • Uncertainty, probability and information-gaps
    • Y. Ben-Haim Uncertainty, probability and information-gaps Reliability Engineering and System Safety 85 13 2004 249 266
    • (2004) Reliability Engineering and System Safety , vol.85 , Issue.13 , pp. 249-266
    • Ben-Haim, Y.1
  • 102
    • 58149136826 scopus 로고    scopus 로고
    • Handling uncertainty in higher dimensions with potential clouds towards robust design optimization
    • M. Fuchs, and A. Neumaier Handling uncertainty in higher dimensions with potential clouds towards robust design optimization Advances in Intelligent and Soft Computing 48 2008 376 382
    • (2008) Advances in Intelligent and Soft Computing , vol.48 , pp. 376-382
    • Fuchs, M.1    Neumaier, A.2
  • 104
    • 0035640594 scopus 로고    scopus 로고
    • On measuring uncertainty and uncertainty-based information: Recent developments
    • G.J. Klir, and R.M. Smith On measuring uncertainty and uncertainty-based information: recent developments Annals of Mathematics and Artificial Intelligence 32 1-4 2001 1012 2443
    • (2001) Annals of Mathematics and Artificial Intelligence , vol.32 , Issue.14 , pp. 1012-2443
    • Klir, G.J.1    Smith, R.M.2
  • 106
    • 2642581898 scopus 로고    scopus 로고
    • An exploration of alternative approaches to the representation of uncertainty in model predictions
    • J.C. Helton, J.D. Johnsonb, and W.L. Oberkampf An exploration of alternative approaches to the representation of uncertainty in model predictions Reliability Engineering and System Safety 85 13 2004 39 71
    • (2004) Reliability Engineering and System Safety , vol.85 , Issue.13 , pp. 39-71
    • Helton, J.C.1    Johnsonb, J.D.2    Oberkampf, W.L.3
  • 109
    • 5444237044 scopus 로고    scopus 로고
    • Validation of reliability computational models using Bayes networks
    • S. Mahadevan, and R. Rebba Validation of reliability computational models using Bayes networks Reliability Engineering and System Safety 87 2 2005 223 232
    • (2005) Reliability Engineering and System Safety , vol.87 , Issue.2 , pp. 223-232
    • Mahadevan, S.1    Rebba, R.2
  • 111
    • 0036544606 scopus 로고    scopus 로고
    • Verification and validation in computational fluid dynamics
    • DOI 10.1016/S0376-0421(02)00005-2, PII S0376042102000052
    • W.L. Oberkamp, and T.G. Trucano Verification and validation in computational fluid dynamics Progress in Aerospace Sciences 38 3 2002 209 272 (Pubitemid 34863048)
    • (2002) Progress in Aerospace Sciences , vol.38 , Issue.3 , pp. 209-272
    • Oberkampf, W.L.1    Trucano, T.G.2
  • 113
    • 0000923503 scopus 로고
    • Asymptotic theory of certain "goodness-of-fit" criteria based on stochastic processes
    • T.W. Anderson, and D.A. Darling Asymptotic theory of certain "goodness-of-fit" criteria based on stochastic processes Annals of Mathematical Statistics 23 2 1952 193 212
    • (1952) Annals of Mathematical Statistics , vol.23 , Issue.2 , pp. 193-212
    • Anderson, T.W.1    Darling, D.A.2
  • 114
  • 115
    • 0348078684 scopus 로고    scopus 로고
    • Adequacy of asymptotic theory for goodness-of-fit criteria for specific distributions
    • T.W. Anderson, and L. You Adequacy of asymptotic theory for goodness-of-fit criteria for specific distributions Journal of Time Series Analysis 17 6 2008 533 552
    • (2008) Journal of Time Series Analysis , vol.17 , Issue.6 , pp. 533-552
    • Anderson, T.W.1    You, L.2
  • 118
    • 0034049797 scopus 로고    scopus 로고
    • Model uncertainty and Bayesian updating in reliability-based inspection
    • DOI 10.1016/S0167-4730(00)00005-9, PII S0167473000000059
    • R. Zhang, and S. Mahadevan Model uncertainty and Bayesian updating in reliability-based inspection Structural Safety 22 2 2000 145 160 (Pubitemid 30411394)
    • (2000) Structural Safety , vol.22 , Issue.2 , pp. 145-160
    • Zhang, R.1    Mahadevan, S.2
  • 121
    • 78649874931 scopus 로고    scopus 로고
    • Review of discretization error estimators in scientific computing
    • Orlando, FL, AIAA-2010-0126
    • Roy CJ. Review of discretization error estimators in scientific computing. In: 48th AIAA aerospace sciences meeting, Orlando, FL, AIAA-2010-0126, 2010.
    • (2010) 48th AIAA Aerospace Sciences Meeting
    • Roy, C.J.1
  • 122
    • 38149061274 scopus 로고    scopus 로고
    • Error quantification for computational aerodynamics using an error transport equation
    • P.A. Cavallo, and N. Sinha Error quantification for computational aerodynamics using an error transport equation Journal of Aircraft 44 6 2007 1954 1963
    • (2007) Journal of Aircraft , vol.44 , Issue.6 , pp. 1954-1963
    • Cavallo, P.A.1    Sinha, N.2
  • 124
    • 0034817636 scopus 로고    scopus 로고
    • Goal-oriented error estimation and adaptivity for the finite element method
    • DOI 10.1016/S0898-1221(00)00317-5
    • J.T. Oden, and S. Prudhomme Goal-oriented error estimation and adaptivity for the finite element method Computers and Mathematics with Applications 41 56 2001 735 756 (Pubitemid 32874156)
    • (2001) Computers and Mathematics with Applications , vol.41 , Issue.5-6 , pp. 735-756
    • Oden, J.T.1    Prudhomme, S.2
  • 125
    • 20344393593 scopus 로고    scopus 로고
    • On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models
    • DOI 10.1016/j.cma.2004.08.010, PII S0045782504004487
    • J.T. Oden, S. Prudhomme, and P. Bauman On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice methods Computer Methods in Applied Mechanics and Engineering 194 3435 2005 3668 3688 (Pubitemid 40792401)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.34-35 , pp. 3668-3688
    • Oden, J.T.1    Prudhomme, S.2    Bauman, P.3
  • 127
    • 33645988923 scopus 로고    scopus 로고
    • On a priori error analysis of fully discrete heterogeneous multiscale FEM
    • DOI 10.1137/040607137
    • A. Abdulle On a priori error analysis of fully discrete heterogeneous multiscale FEM Multiscale Modeling and Simulation 4 2 2005 447 459 (Pubitemid 43885247)
    • (2005) Multiscale Modeling and Simulation , vol.4 , Issue.2 , pp. 447-459
    • Abdulle, A.1
  • 129
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates, Part 2: Error estimates and adaptivity
    • O.C. Zienkiewicz, and J.Z. Zhu The superconvergent patch recovery and a posteriori error estimates, Part 2: error estimates and adaptivity International Journal for Numerical Methods in Engineering 33 7 1992 1365 1382
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , Issue.7 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 130
    • 0036865855 scopus 로고    scopus 로고
    • Estimation of modeling error in computational mechanics
    • DOI 10.1006/jcph.2002.7183
    • J.T. Oden, and S. Prudhomme Estimation of modeling error in computational mechanics Journal of Computational Physics 182 2 2002 496 515 (Pubitemid 36006148)
    • (2002) Journal of Computational Physics , vol.182 , Issue.2 , pp. 496-515
    • Oden, J.T.1    Prudhomme, S.2
  • 131
    • 4344712048 scopus 로고    scopus 로고
    • Verification and validation in computational engineering and science: Basic concepts
    • DOI 10.1016/j.cma.2004.03.002, PII S0045782504001781
    • I. Babuska, and J.T. Oden Verification and validation in computational engineering and science: basic concepts Computer Methods in Applied Mechanics and Engineering 193 3638 2004 4057 4066 (Pubitemid 39142612)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.36-38 , pp. 4057-4066
    • Babuska, I.1    Oden, J.T.2
  • 132
    • 33746400084 scopus 로고    scopus 로고
    • Understanding the effects of model uncertainty in robust design with computer experiments
    • DOI 10.1115/1.2204974
    • D.W. Apley, J. Liu, and W. Chen Understanding the effects of model uncertainty in robust design with computer experiments Journal of Mechanical Design 128 4 2006 945 958 (Pubitemid 44123184)
    • (2006) Journal of Mechanical Design, Transactions of the ASME , vol.128 , Issue.4 , pp. 945-958
    • Apley, D.W.1    Liu, J.2    Chen, W.3
  • 136
    • 0033100741 scopus 로고    scopus 로고
    • Sensitivity analysis in the context of uncertainty analysis for computationally intensive models
    • E. Hofer Sensitivity analysis in the context of uncertainty analysis for computationally intensive models Computer Physics Communications 117 12 1999 21 34
    • (1999) Computer Physics Communications , vol.117 , Issue.12 , pp. 21-34
    • Hofer, E.1
  • 138
    • 0023822856 scopus 로고
    • An investigation of uncertainty and sensitivity analysis techniques for computer models
    • R.L. Iman, and J.C. Helton An investigation of uncertainty and sensitivity analysis techniques for computer models Risk Analysis 8 1 1988 71 90
    • (1988) Risk Analysis , vol.8 , Issue.1 , pp. 71-90
    • Iman, R.L.1    Helton, J.C.2
  • 139
    • 3242761482 scopus 로고    scopus 로고
    • A comparative review of sensitivity and uncertainty analysis of large-scale systems - II: Statistical methods
    • D.G. Cacuci, and M. Ionescu-Bujor A comparative review of sensitivity and uncertainty analysis of large-scale systems - II: statistical methods Nuclear Science and Engineering 147 3 2004 204 217
    • (2004) Nuclear Science and Engineering , vol.147 , Issue.3 , pp. 204-217
    • Cacuci, D.G.1    Ionescu-Bujor, M.2
  • 141
    • 0038476492 scopus 로고    scopus 로고
    • Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems
    • J.C. Helton, and F.J. Davis Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems Reliability Engineering and System Safety 81 1 2003 23 69
    • (2003) Reliability Engineering and System Safety , vol.81 , Issue.1 , pp. 23-69
    • Helton, J.C.1    Davis, F.J.2
  • 142
    • 84952096573 scopus 로고
    • Factorial sampling plans for preliminary computational experiments
    • M.D. Morris Factorial sampling plans for preliminary computational experiments Technometrics 33 2 1991 161 174
    • (1991) Technometrics , vol.33 , Issue.2 , pp. 161-174
    • Morris, M.D.1
  • 143
    • 34147165083 scopus 로고    scopus 로고
    • An effective screening design for sensitivity analysis of large models
    • DOI 10.1016/j.envsoft.2006.10.004, PII S1364815206002805
    • F. Campolongo, J. Cariboni, and A. Saltelli An effective screening design for sensitivity analysis of large models Environmental Modelling and Software 22 10 2007 1509 1518 (Pubitemid 46561424)
    • (2007) Environmental Modelling and Software , vol.22 , Issue.10 , pp. 1509-1518
    • Campolongo, F.1    Cariboni, J.2    Saltelli, A.3
  • 145
    • 62949120472 scopus 로고    scopus 로고
    • Classical and imprecise probability methods for sensitivity analysis in engineering: A case study
    • M. Oberguggenberger, J. King, and B. Schmelzer Classical and imprecise probability methods for sensitivity analysis in engineering: a case study International Journal of Approximate Reasoning 50 4 2009 680 693
    • (2009) International Journal of Approximate Reasoning , vol.50 , Issue.4 , pp. 680-693
    • Oberguggenberger, M.1    King, J.2    Schmelzer, B.3
  • 146
    • 33644982081 scopus 로고    scopus 로고
    • Sensitivity analysis of structural response uncertainty propagation using evidence theory
    • H.R. Bae, R.V. Grandhi, and R.A. Canfield Sensitivity analysis of structural response uncertainty propagation using evidence theory Structural and Multidisciplinary Optimization 31 4 2006 270 291
    • (2006) Structural and Multidisciplinary Optimization , vol.31 , Issue.4 , pp. 270-291
    • Bae, H.R.1    Grandhi, R.V.2    Canfield, R.A.3
  • 147
    • 34948832552 scopus 로고    scopus 로고
    • Sensitivity analysis with mixture of epistemic and aleatory uncertainties
    • DOI 10.2514/1.28707
    • J. Guo, and X. Du Sensitivity analysis with mixture of epistemic and aleatory uncertainties AIAA Journal 45 9 2007 2337 2349 (Pubitemid 47523956)
    • (2007) AIAA Journal , vol.45 , Issue.9 , pp. 2337-2349
    • Guo, J.1    Du, X.2
  • 152
    • 0035506770 scopus 로고    scopus 로고
    • A stochastic projection method for fluid flow. I. Basic formulation
    • DOI 10.1006/jcph.2001.6889
    • O.P. Le Maitre, O.M. Knio, H.N. Najm, and R.G. Ghanem A stochastic projection method for fluid flow I. Basic formulation Journal of Computational Physics 173 2 2001 481 511 (Pubitemid 33082573)
    • (2001) Journal of Computational Physics , vol.173 , Issue.2 , pp. 481-511
    • Le Matre, O.P.1    Knio, O.M.2    Najm, H.N.3    Ghanem, R.G.4
  • 154
    • 0037249229 scopus 로고    scopus 로고
    • The Wiener-Askey polynomial chaos for stochastic differential equations
    • D. Xiu, and G.E. Karniadakis The Wiener-Askey polynomial chaos for stochastic differential equations SIAM Journal of Scientific Computing 24 2002 619 644
    • (2002) SIAM Journal of Scientific Computing , vol.24 , pp. 619-644
    • Xiu, D.1    Karniadakis, G.E.2
  • 160
    • 0022146440 scopus 로고
    • Reliability analysis by numerical integration and curve fitting
    • DOI 10.1016/0167-4730(85)90005-0
    • K.S. Li, and P. Lumb Reliability analysis by numerical integration and curve fitting Structural Safety 3 1 1985 29 36 (Pubitemid 15580026)
    • (1985) Structural Safety , vol.3 , Issue.1 , pp. 29-36
    • Li, K.S.1    Lumb, P.2
  • 161
    • 0032841128 scopus 로고    scopus 로고
    • Integration and computational issues in stochastic design and planning optimization problems
    • F.P. Bernardo, E.N. Pistikopoulos, and P.M. Saraiva Integration and computational issues in stochastic design and planning optimization problems Industrial and Engineering Chemistry Research 38 8 1999 3056 3068 (Pubitemid 29396447)
    • (1999) Industrial and Engineering Chemistry Research , vol.38 , Issue.8 , pp. 3056-3068
    • Bernardo, F.P.1    Pistikopoulos, E.N.2    Saraiva, P.M.3
  • 163
    • 84972543992 scopus 로고
    • Methods for approximating integrals in statistics with special emphasis on Bayesian integration problems
    • M. Evans, and T. Swartz Methods for approximating integrals in statistics with special emphasis on Bayesian integration problems Statistical Science 10 3 1995 254 272
    • (1995) Statistical Science , vol.10 , Issue.3 , pp. 254-272
    • Evans, M.1    Swartz, T.2
  • 165
    • 0030006288 scopus 로고    scopus 로고
    • Recommendations on the testing and use of pseudo-random number generators used in Monte Carlo analysis for risk assessment
    • T. Barry Recommendations on the testing and use of pseudo-random number generators used in Monte Carlo analysis for risk assessment Risk Analysis 16 1 1996 93 105
    • (1996) Risk Analysis , vol.16 , Issue.1 , pp. 93-105
    • Barry, T.1
  • 167
    • 0026883379 scopus 로고
    • Optimal importance-sampling density estimator
    • G.L. Ang, and W.H. Tang Optimal importance-sampling density estimator Journal of Engineering Mechanics 118 6 1992 1146 1163
    • (1992) Journal of Engineering Mechanics , vol.118 , Issue.6 , pp. 1146-1163
    • Ang, G.L.1    Tang, W.H.2
  • 168
    • 77949262289 scopus 로고    scopus 로고
    • Optimal importance sampling for the approximation of integrals
    • A. Hinrichs Optimal importance sampling for the approximation of integrals Journal of Complexity 26 2 2010 125 134
    • (2010) Journal of Complexity , vol.26 , Issue.2 , pp. 125-134
    • Hinrichs, A.1
  • 171
    • 2642529400 scopus 로고    scopus 로고
    • A new Cauchy-based black-box technique for uncertainty in risk analysis
    • V. Kreinovich, and S.A. Ferson A new Cauchy-based black-box technique for uncertainty in risk analysis Reliability Engineering and System Safety 85 13 2004 267 279
    • (2004) Reliability Engineering and System Safety , vol.85 , Issue.13 , pp. 267-279
    • Kreinovich, V.1    Ferson, S.A.2
  • 176
  • 178
    • 0021859893 scopus 로고
    • First-order, second-moment methods
    • F.S. Wong First-order, second-moment methods Computers and Structures 20 4 1985 779 791
    • (1985) Computers and Structures , vol.20 , Issue.4 , pp. 779-791
    • Wong, F.S.1
  • 182
    • 0024772850 scopus 로고
    • Asymptotic approximations for probability integrals
    • DOI 10.1016/0266-8920(89)90024-6
    • K. Breitung Asymptotic approximations for probability integrals Probabilistic Engineering Mechanics 4 4 1989 187 190 (Pubitemid 23604016)
    • (1989) Probabilistic Engineering Mechanics , vol.4 , Issue.4 , pp. 187-190
    • Breitung Karl1
  • 183
    • 0025567112 scopus 로고
    • Numerical integration method for computing structural system reliability
    • DOI 10.1016/0045-7949(90)90175-2
    • B.F. Song A numerical integration method for computing structural system reliability Computers and Structures 36 1 1990 65 70 (Pubitemid 21672262)
    • (1990) Computers and Structures , vol.36 , Issue.1 , pp. 65-70
    • Song, B.F.1
  • 184
    • 0030702292 scopus 로고    scopus 로고
    • Probability analysis method using Fast Fourier transform and its application
    • PII S016747309600032X
    • J. Sakamoto, Y. Mori, and T. Sekioka Probability analysis method using fast Fourier transform and its application Structural Safety 19 1 1997 21 36 (Pubitemid 127411404)
    • (1997) Structural Safety , vol.19 , Issue.1 , pp. 21-36
    • Sakamoto, J.1    Mori, Y.2    Sekioka, T.3
  • 185
    • 0037352943 scopus 로고    scopus 로고
    • Adaptation of fast Fourier transformations to estimate structural failure probability
    • R.C. Penmetsa, and R.V. Grandhi Adaptation of fast Fourier transformations to estimate structural failure probability Finite Elements in Analysis and Design 39 56 2003 473 485
    • (2003) Finite Elements in Analysis and Design , vol.39 , Issue.56 , pp. 473-485
    • Penmetsa, R.C.1    Grandhi, R.V.2
  • 186
    • 0020812988 scopus 로고
    • Fast probability integration by three-parameter normal tail approximation
    • DOI 10.1016/0167-4730(82)90003-0
    • X. Chen, and N.C. Lind Fast probability integration by three-parameter normal tail approximation Structural Safety 1 4 1982 269 276 (Pubitemid 15438624)
    • (1983) Structural Safety , vol.1 , Issue.4 , pp. 269-276
    • Chen, X.1    Lind, N.C.2
  • 189
    • 4644360462 scopus 로고    scopus 로고
    • A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics
    • S. Rahman, and H. Xu A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics Probabilistic Engineering Mechanics 19 4 2004 393 408
    • (2004) Probabilistic Engineering Mechanics , vol.19 , Issue.4 , pp. 393-408
    • Rahman, S.1    Xu, H.2
  • 191
    • 0035743192 scopus 로고    scopus 로고
    • Reliability analysis-a review and some perspective
    • DOI 10.1016/S0167-4730(02)00009-7, PII S0167473002000097, Papers presented at the 8th American Society of Civil Engineers Joint Conference on Probabilistic Methods and Structural Reliability
    • R. Rackwitz Reliability analysis - a review and some perspectives Structural Safety 23 2001 365 395 (Pubitemid 34696460)
    • (2001) Structural Safety , vol.23 , Issue.4 , pp. 365-395
    • Rackwitz, R.1
  • 192
    • 0023399813 scopus 로고
    • New light on first- and second-order reliability methods
    • DOI 10.1016/0167-4730(87)90002-6
    • M. Hohenbichler, S. Gollwitzer, W. Kruse, and R. Rackwitz New light on first- and second-order reliability methods Structural Safety 4 4 1987 267 284 (Pubitemid 17633321)
    • (1987) Structural Safety , vol.4 , Issue.4 , pp. 267-284
    • Hohenbichler, M.1    Gollwitzer, S.2    Kruse, W.3    Rackwitz, R.4
  • 193
    • 0032874461 scopus 로고    scopus 로고
    • A general procedure for first/second-order reliability method (FORM/SORM)
    • DOI 10.1016/S0167-4730(99)00008-9, PII S0167473099000089
    • Y. Zhao, and T. Ono A general procedure for first/second-order reliability method (FORM/SORM) Structural Safety 21 2 1999 95 112 (Pubitemid 29432899)
    • (1999) Structural Safety , vol.21 , Issue.2 , pp. 95-112
    • Zhao, Y.-G.1    Ono, T.2
  • 194
    • 0000301907 scopus 로고
    • Remarks on a multivariate transformation
    • M. Rosenblatt Remarks on a multivariate transformation Annals of Mathematical Statistics 23 3 1952 470 472
    • (1952) Annals of Mathematical Statistics , vol.23 , Issue.3 , pp. 470-472
    • Rosenblatt, M.1
  • 195
    • 0016026184 scopus 로고
    • Exact and invariant second-moment code format
    • A.M. Hasofer, and N.C. Lind Exact and invariant second-moment code format Journal of Engineering Mechanics 100 1 1974 111 121
    • (1974) Journal of Engineering Mechanics , vol.100 , Issue.1 , pp. 111-121
    • Hasofer, A.M.1    Lind, N.C.2
  • 196
    • 0018033230 scopus 로고
    • Structural reliability under combined random load sequences
    • DOI 10.1016/0045-7949(78)90046-9
    • R. Rackwitz, and B. Fiessler Structural reliability under combined random load sequences Computers and Structures 9 5 1978 489 494 (Pubitemid 9397943)
    • (1978) Computers and Structures , vol.9 , Issue.5 , pp. 489-494
    • Rackwitz, R.1    Fiessler, B.2
  • 197
    • 0026107548 scopus 로고
    • Optimization algorithms for structural reliability
    • L. Peiling, and K.A. Der Optimization algorithms for structural reliability Structural Safety 9 3 1991 161 177
    • (1991) Structural Safety , vol.9 , Issue.3 , pp. 161-177
    • Peiling, L.1    Der, K.A.2
  • 198
    • 0024033707 scopus 로고
    • Branch and bound strategy for finding the reliability index with non-convex performance functions
    • DOI 10.1016/0167-4730(88)90018-5
    • L.M.C. Simões A branch and bound strategy for finding the reliability index with non-convex performance functions Structural Safety 5 2 1988 95 108 (Pubitemid 18660286)
    • (1988) Structural Safety , vol.5 , Issue.2 , pp. 95-108
    • Simoes, L.M.C.1
  • 199
    • 31644451523 scopus 로고    scopus 로고
    • Convergence analysis of first order reliability method using chaos theory
    • DOI 10.1016/j.compstruc.2005.11.009, PII S0045794905003883
    • D. Yang, G. Li, and G. Cheng Convergence analysis of first order reliability method using chaos theory Computers and Structures 84 89 2006 563 571 (Pubitemid 43171995)
    • (2006) Computers and Structures , vol.84 , Issue.8-9 , pp. 563-571
    • Yang, D.1    Li, G.2    Cheng, G.3
  • 200
    • 0036465919 scopus 로고    scopus 로고
    • A comparative study on reliability-index and target-performance-based probabilistic structural design optimization
    • DOI 10.1016/S0045-7949(02)00006-8, PII S0045794902000068
    • J. Lee, Y. Yang, and W. Ruy A comparative study on reliability-index and target-performance-based probabilistic structural design optimization Computers and Structures 80 34 2002 257 269 (Pubitemid 34222475)
    • (2002) Computers and Structures , vol.80 , Issue.3-4 , pp. 257-269
    • Lee, J.-O.1    Yang, Y.-S.2    Ruy, W.-S.3
  • 202
    • 0033296449 scopus 로고    scopus 로고
    • A new study on reliability-based design optimization
    • J. Tu, K.K. Choi, and H.P. Young A new study on reliability-based design optimization Journal of Mechanical Design 121 4 1999 557 564
    • (1999) Journal of Mechanical Design , vol.121 , Issue.4 , pp. 557-564
    • Tu, J.1    Choi, K.K.2    Young, H.P.3
  • 203
    • 0038544547 scopus 로고    scopus 로고
    • Hybrid analysis method for reliability-based design optimization
    • B.D. Youn, K.K. Choi, and Y.H. Park Hybrid analysis method for reliability-based design optimization Journal of Mechanical Design 125 2 2001 221 232
    • (2001) Journal of Mechanical Design , vol.125 , Issue.2 , pp. 221-232
    • Youn, B.D.1    Choi, K.K.2    Park, Y.H.3
  • 204
    • 17444387475 scopus 로고    scopus 로고
    • Adaptive probability analysis using an enhanced hybrid mean value method
    • DOI 10.1007/s00158-004-0452-6
    • B.D. Youn, K.K. Choi, and L. Du Adaptive probability analysis using an enhanced hybrid mean value method Journal of Structural and Multidisciplinary Optimization 29 2 2005 134 148 (Pubitemid 40536310)
    • (2005) Structural and Multidisciplinary Optimization , vol.29 , Issue.2 , pp. 134-148
    • Youn, B.D.1    Choi, K.K.2    Du, L.3
  • 208
    • 0032307188 scopus 로고    scopus 로고
    • An inverse reliability method and its application
    • H. Li, and R. Foschi An inverse reliability method and its application Structural Safety 20 3 1998 257 270
    • (1998) Structural Safety , vol.20 , Issue.3 , pp. 257-270
    • Li, H.1    Foschi, R.2
  • 210
    • 0021385975 scopus 로고
    • Asymptotic approximations for multinormal integrals
    • K. Breitung Asymptotic approximations for multinormal integrals Journal of Engineering Mechanics 110 3 1984 357 366
    • (1984) Journal of Engineering Mechanics , vol.110 , Issue.3 , pp. 357-366
    • Breitung, K.1
  • 211
    • 0028467927 scopus 로고
    • Refined second-order reliability analysis
    • G.Q. Cai, and I. Elishakoff Refined second-order reliability analysis Structural Safety 14 4 1994 267 276
    • (1994) Structural Safety , vol.14 , Issue.4 , pp. 267-276
    • Cai, G.Q.1    Elishakoff, I.2
  • 212
    • 0033528040 scopus 로고    scopus 로고
    • Higher-order failure probability calculation using nonlinear approximations
    • R.V. Grandhi, and L. Wang Higher-order failure probability calculation using nonlinear approximations Computer Methods in Applied Mechanics and Engineering 168 14 1999 185 206
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.168 , Issue.14 , pp. 185-206
    • Grandhi, R.V.1    Wang, L.2
  • 213
    • 10844249311 scopus 로고    scopus 로고
    • Second-order third-moment reliability method
    • DOI 10.1061/(ASCE)0733-9445
    • Y. Zhao, T. Ono, and M. Kato Second-order third-moment reliability method Journal of Structural Engineering 128 8 2002 1087 1090 (Pubitemid 40001155)
    • (2002) Journal of Structural Engineering , vol.128 , Issue.8 , pp. 1087-1090
    • Zhao, Y.-G.1    Ono, T.2    Kato, M.3
  • 214
    • 0035083742 scopus 로고    scopus 로고
    • Moment methods for structural reliability
    • DOI 10.1016/S0167-4730(00)00027-8, PII S0167473000000278
    • Y. Zhao, and T. Ono Moment methods for structural reliability Structural Safety 23 1 2001 47 75 (Pubitemid 32235732)
    • (2001) Structural Safety , vol.23 , Issue.1 , pp. 47-75
    • Zhao, Y.-G.1    Ono, T.2
  • 216
    • 0023254449 scopus 로고
    • Exact versus approximate determination of structural reliability
    • I. Elishakoff, and A.M. Hasofer Exact versus approximate determination of structural reliability Applied Scientific Research 44 3 1987 303 312 (Pubitemid 17640645)
    • (1987) Applied Scientific Research (The Hague) , vol.44 , Issue.3 , pp. 303-312
    • Elishakoff, I.1    Hasofer, A.M.2
  • 217
    • 0018754283 scopus 로고
    • Generalized second moment reliability index
    • O. Ditlevsen Generalized second moment reliability index Structures and Machines 7 4 1979 435 451 (Pubitemid 10457345)
    • (1979) Journal of structural mechanics , vol.7 , Issue.4 , pp. 435-451
    • Ditlevsen, O.1
  • 218
    • 0027701265 scopus 로고
    • A benchmark study on importance sampling techniques in structural reliability
    • S. Engelund, and R. Rackwit A benchmark study on importance sampling techniques in structural reliability Structural Safety 12 4 1993 255 276
    • (1993) Structural Safety , vol.12 , Issue.4 , pp. 255-276
    • Engelund, S.1    Rackwit, R.2
  • 219
    • 0037378390 scopus 로고    scopus 로고
    • Important sampling in high dimensions
    • DOI 10.1016/S0167-4730(02)00047-4, PII S0167473002000474
    • S.K. Au, and J.L. Beck Important sampling in high dimensions Structural Safety 25 2 2003 139 163 (Pubitemid 36080838)
    • (2003) Structural Safety , vol.25 , Issue.2 , pp. 139-163
    • Au, S.K.1    Beck, J.L.2
  • 221
    • 78649324462 scopus 로고    scopus 로고
    • On multinormal integrals by importance sampling for parallel system reliability
    • 10.1016/j.strusafe.2010.04.002
    • E. Patelli, H.J. Pradlwarter, and G.I. Schuëller On multinormal integrals by importance sampling for parallel system reliability Structural Safety 2010 10.1016/j.strusafe.2010.04.002
    • (2010) Structural Safety
    • Patelli, E.1    Pradlwarter, H.J.2    Schuëller, G.I.3
  • 222
    • 0024032825 scopus 로고
    • Adaptive sampling - An iterative fast Monte Carlo method
    • C.G. Bucher Adaptive sampling - an iterative fast Monte Carlo method Structural Safety 5 2 1988 119 126
    • (1988) Structural Safety , vol.5 , Issue.2 , pp. 119-126
    • Bucher, C.G.1
  • 223
    • 0035472117 scopus 로고    scopus 로고
    • Estimation of small failure probabilities in high dimensions by subset simulation
    • DOI 10.1016/S0266-8920(01)00019-4, PII S0266892001000194
    • S. Au, and J.L. Beck Estimation of small failure probabilities in high dimensions by subset simulation Probabilistic Engineering Mechanics 16 4 2001 263 277 (Pubitemid 33018562)
    • (2001) Probabilistic Engineering Mechanics , vol.16 , Issue.4 , pp. 263-277
    • Au, S.-K.1    Beck, J.L.2
  • 227
    • 0025623866 scopus 로고
    • General multi-dimensional probability integration by directional simulation
    • O. Ditlevsen, R.E. Melchers, and H. Gluver General multi-dimensional probability integration by directional simulation Computers and Structures 36 2 1990 355 368
    • (1990) Computers and Structures , vol.36 , Issue.2 , pp. 355-368
    • Ditlevsen, O.1    Melchers, R.E.2    Gluver, H.3
  • 228
    • 0028523982 scopus 로고
    • Structural system reliability assessment using directional simulation
    • R.E. Melchers Structural system reliability assessment using directional simulation Structural Safety 16 12 1994 23 37
    • (1994) Structural Safety , vol.16 , Issue.12 , pp. 23-37
    • Melchers, R.E.1
  • 229
    • 0033666117 scopus 로고    scopus 로고
    • Directional methods for structural reliability analysis
    • J. Nie, and B.R. Ellingwood Directional methods for structural reliability analysis Structural Safety 22 3 2000 233 249
    • (2000) Structural Safety , vol.22 , Issue.3 , pp. 233-249
    • Nie, J.1    Ellingwood, B.R.2
  • 230
    • 13644277357 scopus 로고    scopus 로고
    • Towards a better understanding of modeling feasibility robustness in engineering design
    • X. Du, and W. Chen Towards a better understanding of modeling feasibility robustness in engineering design Journal of Mechanical Design 122 4 2000 385 394
    • (2000) Journal of Mechanical Design , vol.122 , Issue.4 , pp. 385-394
    • Du, X.1    Chen, W.2
  • 232
    • 43949162529 scopus 로고
    • A new look at the response surface approach for reliability analysis
    • M.R. Rajashekhar, and B.R. Ellingwood A new look at the response surface approach for reliability analysis Structural Safety 12 3 1993 205 220
    • (1993) Structural Safety , vol.12 , Issue.3 , pp. 205-220
    • Rajashekhar, M.R.1    Ellingwood, B.R.2
  • 234
    • 41549125936 scopus 로고    scopus 로고
    • A comparison of approximate response functions in structural reliability analysis
    • C. Buchera, and T. Most A comparison of approximate response functions in structural reliability analysis Probabilistic Engineering Mechanics 23 23 2008 154 163
    • (2008) Probabilistic Engineering Mechanics , vol.23 , Issue.23 , pp. 154-163
    • Buchera, C.1    Most, T.2
  • 236
    • 77049105926 scopus 로고    scopus 로고
    • Reliability analysis for multidisciplinary systems with random and interval variables
    • J. Guo, and X. Du Reliability analysis for multidisciplinary systems with random and interval variables AIAA Journal 48 1 2010 82 91
    • (2010) AIAA Journal , vol.48 , Issue.1 , pp. 82-91
    • Guo, J.1    Du, X.2
  • 237
    • 0032595413 scopus 로고    scopus 로고
    • Nondeterministic "possibilistic" approaches for structural analysis and optimal design
    • V. Braibant, A. Oudshoorn, and C. Boyer Nondeterministic "possibilistic" approaches for structural analysis and optimal design AIAA Journal 37 10 1999 1298 1303
    • (1999) AIAA Journal , vol.37 , Issue.10 , pp. 1298-1303
    • Braibant, V.1    Oudshoorn, A.2    Boyer, C.3
  • 238
    • 33751214160 scopus 로고    scopus 로고
    • Inverse possibility analysis method for possibility-based design optimization
    • DOI 10.2514/1.16546
    • L. Du, K. Choi, and B. Youn Inverse possibility analysis method for possibility-based design optimization AIAA Journal 44 11 2006 2682 2690 (Pubitemid 44788065)
    • (2006) AIAA Journal , vol.44 , Issue.11 , pp. 2682-2690
    • Du, L.1    Choi, K.K.2    Youn, B.D.3
  • 239
    • 67349226699 scopus 로고    scopus 로고
    • System reliability analysis for mixed uncertain variables
    • P.R. Adduri, and R.C. Penmetsa System reliability analysis for mixed uncertain variables Structural Safety 31 5 2009 375 382
    • (2009) Structural Safety , vol.31 , Issue.5 , pp. 375-382
    • Adduri, P.R.1    Penmetsa, R.C.2
  • 240
    • 77953802343 scopus 로고    scopus 로고
    • Unified uncertainty analysis by the first order reliability method
    • X. Du Unified uncertainty analysis by the first order reliability method Journal of Mechanical Design 130 9 2008 91401
    • (2008) Journal of Mechanical Design , vol.130 , Issue.9 , pp. 91401
    • Du, X.1
  • 241
    • 70349381480 scopus 로고    scopus 로고
    • Structural reliability assessment based on probability and convex set mixed model
    • Y. Luo, Z. Kang, and A. Li Structural reliability assessment based on probability and convex set mixed model Computers and Structures 87 2122 2009 1408 1415
    • (2009) Computers and Structures , vol.87 , Issue.21-22 , pp. 1408-1415
    • Luo, Y.1    Kang, Z.2    Li, A.3
  • 242
    • 0027578459 scopus 로고
    • Time-dependent system reliability analysis by adaptive importance sampling
    • DOI 10.1016/0167-4730(93)90018-V
    • Y. Mori, and B.R. Ellingwood Time-dependent system reliability analysis by adaptive importance sampling Structural Safety 12 1 1993 59 73 (Pubitemid 23670347)
    • (1993) Structural Safety , vol.12 , Issue.1 , pp. 59-73
    • Mori Yasuhiro1    Ellingwood Bruce, R.2
  • 243
    • 0033736490 scopus 로고    scopus 로고
    • Optimal design under time-variant reliability constraints
    • N. Kuschel, and R. Rackwitz Optimal design under time-variant reliability constraints Structural Safety 22 2 2000 113 127
    • (2000) Structural Safety , vol.22 , Issue.2 , pp. 113-127
    • Kuschel, N.1    Rackwitz, R.2
  • 244
    • 0026170060 scopus 로고
    • On the bounds for structural system reliability
    • DOI 10.1016/0167-4730(91)90047-D
    • W. Cui, and D.I. Blockley On the bounds for structural system reliability Structural Safety 9 4 1991 247 259 (Pubitemid 21668147)
    • (1991) Structural Safety , vol.9 , Issue.4 , pp. 247-259
    • Cui Weicheng1    Blockley David, I.2
  • 245
    • 33746418864 scopus 로고    scopus 로고
    • System reliability bounds: A new look with improvements
    • DOI 10.1080/10286600412331330368, PII G47106773905G377
    • K. Ramachandran System reliability bounds: a new look with improvements Civil Engineering and Environmental Systems 21 4 2004 265 278 (Pubitemid 44121864)
    • (2004) Civil Engineering and Environmental Systems , vol.21 , Issue.4 , pp. 265-278
    • Ramachandran, K.1
  • 247
    • 33846354275 scopus 로고    scopus 로고
    • Bounds on structural system reliability in the presence of interval variables
    • DOI 10.1016/j.compstruc.2006.10.012, PII S0045794906003415
    • P.R. Adduri, and R.C. Penmetsa Bounds on structural system reliability in the presence of interval variables Computers and Structures 85 56 2007 320 329 (Pubitemid 46135644)
    • (2007) Computers and Structures , vol.85 , Issue.5-6 , pp. 320-329
    • Adduri, P.R.1    Penmetsa, R.C.2
  • 248
    • 44349135610 scopus 로고    scopus 로고
    • Matrix-based system reliability method and applications to bridge networks
    • W. Kang, J. Song, and P. Gardoni Matrix-based system reliability method and applications to bridge networks Reliability Engineering and System Safety 93 11 2008 1584 1593
    • (2008) Reliability Engineering and System Safety , vol.93 , Issue.11 , pp. 1584-1593
    • Kang, W.1    Song, J.2    Gardoni, P.3
  • 249
    • 56949093066 scopus 로고    scopus 로고
    • System reliability and sensitivity under statistical dependence by matrix-based system reliability method
    • J. Song, and W. Kang System reliability and sensitivity under statistical dependence by matrix-based system reliability method Structural Safety 31 2 2009 148 156
    • (2009) Structural Safety , vol.31 , Issue.2 , pp. 148-156
    • Song, J.1    Kang, W.2
  • 250
    • 77954827396 scopus 로고    scopus 로고
    • Single-loop system reliability-based design optimization using matrix-based system reliability method theory and applications
    • T.H. Nguyen, J. Song, and G.H. Paulino Single-loop system reliability-based design optimization using matrix-based system reliability method theory and applications Journal of Mechanical Design 132 1 2010 11005 11011
    • (2010) Journal of Mechanical Design , vol.132 , Issue.1 , pp. 11005-11011
    • Nguyen, T.H.1    Song, J.2    Paulino, G.H.3
  • 252
    • 77955209191 scopus 로고    scopus 로고
    • Complementary intersection method for system reliability analysis
    • B.D. Youn, and P. Wang Complementary intersection method for system reliability analysis Journal of Mechanical Design 131 4 2009 41004
    • (2009) Journal of Mechanical Design , vol.131 , Issue.4 , pp. 41004
    • Youn, B.D.1    Wang, P.2
  • 258
    • 0036493474 scopus 로고    scopus 로고
    • Efficient uncertainty analysis methods for multidisciplinary robust design
    • X. Du, and W. Chen Efficient uncertainty analysis methods for multidisciplinary robust design AIAA Journal 40 3 2002 545 552 (Pubitemid 34554616)
    • (2002) AIAA Journal , vol.40 , Issue.3 , pp. 545-552
    • Du, X.1    Chen, W.2
  • 264
    • 27444443750 scopus 로고    scopus 로고
    • Collaborative reliability analysis under the framework of multidisciplinary systems design
    • DOI 10.1023/B:OPTE.0000048537.35387.fa
    • X. Du, and W. Chen Collaborative reliability analysis under the framework of multidisciplinary systems design Optimization and Engineering 6 2005 63 84 (Pubitemid 41529602)
    • (2005) Optimization and Engineering , vol.6 , Issue.1 , pp. 63-84
    • Du, X.1    Chen, W.2
  • 267
    • 10644266225 scopus 로고    scopus 로고
    • Sequential approach to reliability analysis of multidisciplinary analysis systems
    • J. Ahn, and J.H. Kwon Sequential approach to reliability analysis of multidisciplinary analysis systems Journal of Structural and Multidisciplinary Optimization 28 6 2004 397 406
    • (2004) Journal of Structural and Multidisciplinary Optimization , vol.28 , Issue.6 , pp. 397-406
    • Ahn, J.1    Kwon, J.H.2
  • 268
  • 271
    • 0036138955 scopus 로고    scopus 로고
    • A hybrid parametric/stochastic programming approach for mixed-integer nonlinear problems under uncertainty
    • T.S. Hené, V. Dua, and E.N. Pistikopoulos A hybrid parametric/stochastic programming approach for mixed-integer nonlinear problems under uncertainty Industrial and Engineering Chemistry Research 41 1 2002 67 77 (Pubitemid 34052820)
    • (2002) Industrial and Engineering Chemistry Research , vol.41 , Issue.1 , pp. 67-77
    • Hene, T.S.1    Dua, V.2    Pistikopoulos, E.N.3
  • 275
    • 38549139665 scopus 로고    scopus 로고
    • A robust optimization perspective on stochastic programming
    • DOI 10.1287/opre.1070.0441
    • X. Chen, M. Sim, and P. Sun A robust optimization perspective on stochastic programming Operations Research 55 6 2007 1058 1071 (Pubitemid 351159517)
    • (2007) Operations Research , vol.55 , Issue.6 , pp. 1058-1071
    • Chen, X.1    Sim, M.2    Sun, P.3
  • 276
    • 0036533021 scopus 로고    scopus 로고
    • Real-time optimization under parametric uncertainty: A probability constrained approach
    • DOI 10.1016/S0959-1524(01)00047-6, PII S0959152401000476
    • Y. Zhang, D. Monder, and J.F. Forbes Real-time optimization under parametric uncertainty: a probability constrained approach Journal of Process Control 12 3 2002 373 389 (Pubitemid 34156700)
    • (2002) Journal of Process Control , vol.12 , Issue.3 , pp. 373-389
    • Zhang, Y.1    Monder, D.2    Fraser Forbes, J.3
  • 277
    • 33847721062 scopus 로고    scopus 로고
    • Dynamic optimization in the presence of uncertainty: From off-line nominal solution to measurement-based implementation
    • DOI 10.1016/j.jprocont.2006.06.006, PII S095915240600076X
    • J.V. Kadam, M. Schlegel, B. Srinivasan, D. Bonvin, and W. Marquardt Dynamic optimization in the presence of uncertainty from off-line nominal solution to measurement-based implementation Journal of Process Control 17 5 2007 389 398 (Pubitemid 46386418)
    • (2007) Journal of Process Control , vol.17 , Issue.5 SPEC. ISS. , pp. 389-398
    • Kadam, J.V.1    Schlegel, M.2    Srinivasan, B.3    Bonvin, D.4    Marquardt, W.5
  • 281
    • 0040370432 scopus 로고    scopus 로고
    • Two-phase approach for solving the fuzzy linear programming problems
    • PII S0165011497003047
    • S. Guu, and Y. Wu Two-phase approach for solving the fuzzy linear programming problems Fuzzy Sets and Systems 107 2 1999 191 195 (Pubitemid 129525399)
    • (1999) Fuzzy Sets and Systems , vol.107 , Issue.2 , pp. 191-195
    • Guu, S.-M.1    Wu, Y.-K.2
  • 282
    • 33645794778 scopus 로고    scopus 로고
    • Computing efficient solutions to fuzzy multiple objective linear programming problems
    • X. Li, B. Zhang, and H. Li Computing efficient solutions to fuzzy multiple objective linear programming problems Fuzzy Sets and Systems 157 10 2006 1328 1332
    • (2006) Fuzzy Sets and Systems , vol.157 , Issue.10 , pp. 1328-1332
    • Li, X.1    Zhang, B.2    Li, H.3
  • 283
    • 0030127858 scopus 로고    scopus 로고
    • Mixed fuzzy-probabilistic programming approach for multiobjective engineering optimization with random variables
    • DOI 10.1016/0045-7949(95)00255-3
    • C.J. Shih Wangsawidjaja RAS. Mixed fuzzy-probabilistic programming approach for multiobjective engineering optimization with random variables Computers and Structures 59 2 1996 283 290 (Pubitemid 126368439)
    • (1996) Computers and Structures , vol.59 , Issue.2 , pp. 283-290
    • Shih, C.J.1    Wangsawidjaja, R.A.S.2
  • 286
    • 33847678085 scopus 로고    scopus 로고
    • General robust-optimization formulation for nonlinear programming
    • Y. Zhang General robust-optimization formulation for nonlinear programming Journal of Optimization Theory and Applications 132 1 2007 111 124
    • (2007) Journal of Optimization Theory and Applications , vol.132 , Issue.1 , pp. 111-124
    • Zhang, Y.1
  • 287
    • 53149089929 scopus 로고    scopus 로고
    • Robust solutions to conic quadratic problems and their applications
    • O. Boni, A. Ben-Tal, and A. Nemirovski Robust solutions to conic quadratic problems and their applications Optimization Engineering 9 1 2008 1 18
    • (2008) Optimization Engineering , vol.9 , Issue.1 , pp. 1-18
    • Boni, O.1    Ben-Tal, A.2    Nemirovski, A.3
  • 291
    • 33847261101 scopus 로고    scopus 로고
    • A simulation optimization method that considers uncertainty and multiple performance measures
    • S.L. Rosen, C.M. Harmonosky, and M.T. Traband A simulation optimization method that considers uncertainty and multiple performance measures European Journal of Operational Research 181 2007 315 330
    • (2007) European Journal of Operational Research , vol.181 , pp. 315-330
    • Rosen, S.L.1    Harmonosky, C.M.2    Traband, M.T.3
  • 293
    • 0000861838 scopus 로고
    • A robust optimization procedure with variations on design variables and constraints
    • S. Sundaresan, K. Ishii, and D.R. Houser A robust optimization procedure with variations on design variables and constraints Advances in Design Automation 69 1 1993 379 386
    • (1993) Advances in Design Automation , vol.69 , Issue.1 , pp. 379-386
    • Sundaresan, S.1    Ishii, K.2    Houser, D.R.3
  • 295
    • 40949146990 scopus 로고    scopus 로고
    • Reliable design space and complete single-loop reliability-based design optimization
    • DOI 10.1016/j.ress.2007.07.006, PII S0951832007001962
    • S. Shan, and G.G. Wang Reliable design space and complete single-loop reliability-based design optimization Reliability Engineering and System Safety 93 8 2008 1218 1230 (Pubitemid 351418138)
    • (2008) Reliability Engineering and System Safety , vol.93 , Issue.8 , pp. 1218-1230
    • Shan, S.1    Wang, G.G.2
  • 296
    • 0347985413 scopus 로고    scopus 로고
    • A new response surface methodology for reliability-based design optimization
    • B.D. Youn, and K.K. Choi A new response surface methodology for reliability-based design optimization Computers and Structures 82 23 2004 241 256
    • (2004) Computers and Structures , vol.82 , Issue.23 , pp. 241-256
    • Youn, B.D.1    Choi, K.K.2
  • 297
    • 33745216021 scopus 로고    scopus 로고
    • A sequential approximate programming strategy for reliability-based structural optimization
    • G. Cheng, L. Xua, and L. Jiang A sequential approximate programming strategy for reliability-based structural optimization Computers and Structures 84 21 2006 1353 1367
    • (2006) Computers and Structures , vol.84 , Issue.21 , pp. 1353-1367
    • Cheng, G.1    Xua, L.2    Jiang, L.3
  • 299
    • 42649110702 scopus 로고    scopus 로고
    • Reliability-based design optimization using a moment method and a kriging metamodel
    • J.B. Hyeon, and L.B. Chai Reliability-based design optimization using a moment method and a kriging metamodel Engineering Optimization 40 5 2008 421 438
    • (2008) Engineering Optimization , vol.40 , Issue.5 , pp. 421-438
    • Hyeon, J.B.1    Chai, L.B.2
  • 302
    • 28244498648 scopus 로고    scopus 로고
    • Reliability-based design with the mixture of random and interval variables
    • DOI 10.1115/1.1992510
    • X. Du, A. Sudjianto, and B. Huang Reliability-based design with the mixture of random and interval variables Journal of Mechanical Design 127 6 2005 1068 1076 (Pubitemid 41709564)
    • (2005) Journal of Mechanical Design, Transactions of the ASME , vol.127 , Issue.6 , pp. 1068-1076
    • Du, X.1    Sudjianto, A.2    Huang, B.3
  • 303
    • 56449125524 scopus 로고    scopus 로고
    • An inverse analysis method for design optimization with both statistical and fuzzy uncertainties
    • L. Du, and K.K. Choi An inverse analysis method for design optimization with both statistical and fuzzy uncertainties Structural and Multidisciplinary Optimization 37 2 2008 107 119
    • (2008) Structural and Multidisciplinary Optimization , vol.37 , Issue.2 , pp. 107-119
    • Du, L.1    Choi, K.K.2
  • 305
    • 0346240607 scopus 로고    scopus 로고
    • Analytical and experimental comparison of probabilistic and deterministic optimization
    • G. Maglaras, E. Ponslet, R.T. Haftka, E. Nikolaidis, P. Sensharma, and H.H. Cudney Analytical and experimental comparison of probabilistic and deterministic optimization AIAA Journal 34 7 1996 1512 1518 (Pubitemid 126524987)
    • (1996) AIAA Journal , vol.34 , Issue.7 , pp. 1512-1518
    • Maglaras, G.1    Ponslet, E.2    Haftka, R.T.3    Nikolaidis, E.4    Sensharma, P.5    Cudney, H.H.6
  • 306
    • 0003881151 scopus 로고
    • Quality engineering using robust design
    • Prentice-Hall NJ
    • M. Phadke Quality engineering using robust design Englewood Cliffs 1989 Prentice-Hall NJ
    • (1989) Englewood Cliffs
    • Phadke, M.1
  • 307
    • 24944524909 scopus 로고    scopus 로고
    • Robust design: Experiments for improving quality
    • S. Ghosh, C.R. Rao, Elsevier Science
    • D.M. Steinberg Robust design: experiments for improving quality S. Ghosh, C.R. Rao, Handbook of Statistics vol. 13 1996 Elsevier Science 199 240
    • (1996) Handbook of Statistics , vol.13 , pp. 199-240
    • Steinberg, D.M.1
  • 309
    • 0026368286 scopus 로고
    • A robust optimization approach using Taguchis loss function for solving nonlinear optimization problems
    • B. Ramakrishnan, and S.S. Rao A robust optimization approach using Taguchis loss function for solving nonlinear optimization problems ASME Advances in Design Automation DE-32 1 1991 241 248
    • (1991) ASME Advances in Design Automation , vol.1 DE-32 , pp. 241-248
    • Ramakrishnan, B.1    Rao, S.S.2
  • 311
    • 0035216483 scopus 로고    scopus 로고
    • Robust optimization considering tolerances of design variables
    • K. Lee, and G. Park Robust optimization considering tolerances of design variables Computers and Structures 79 1 2001 77 86
    • (2001) Computers and Structures , vol.79 , Issue.1 , pp. 77-86
    • Lee, K.1    Park, G.2
  • 312
    • 0034206173 scopus 로고    scopus 로고
    • Exploration of the effectiveness of physical programming in robust design
    • W. Chen, A. Sahai, A. Messac, and G.J. Sundararaj Exploration of the effectiveness of physical programming in robust design Journal of Mechanical Design 122 2 2000 155 163
    • (2000) Journal of Mechanical Design , vol.122 , Issue.2 , pp. 155-163
    • Chen, W.1    Sahai, A.2    Messac, A.3    Sundararaj, G.J.4
  • 313
    • 0036601105 scopus 로고    scopus 로고
    • Multiobjective robust design using physical programming
    • DOI 10.1007/s00158-002-0196-0
    • A. Messac, and A. Ismail-Yahaya Multiobjective robust design using physical programming Structural and Multidisciplinary Optimization 23 5 2002 357 371 (Pubitemid 34777411)
    • (2002) Structural and Multidisciplinary Optimization , vol.23 , Issue.5 , pp. 357-371
    • Messac, A.1    Ismail-Yahaya, A.2
  • 314
    • 0032627814 scopus 로고    scopus 로고
    • Quality utility: A compromise programming approach to robust design
    • W. Chen, M.M. Wiecek, and J. Zhang Quality utility: a compromise programming approach to robust design Journal of Mechanical Design 121 2 1999 179 187
    • (1999) Journal of Mechanical Design , vol.121 , Issue.2 , pp. 179-187
    • Chen, W.1    Wiecek, M.M.2    Zhang, J.3
  • 315
    • 33847752190 scopus 로고    scopus 로고
    • Robust design modeling with correlated quality characteristics using a multicriteria decision framework
    • DOI 10.1007/s00170-005-0349-6
    • S.M. Govindaluri, and B.R. Cho Robust design modeling with correlated quality characteristics using a multicriteria decision framework Journal of Advanced Manufacturing Technology 32 56 2007 423 433 (Pubitemid 46375254)
    • (2007) International Journal of Advanced Manufacturing Technology , vol.32 , Issue.5-6 , pp. 423-433
    • Govindaluri, S.M.1    Cho, B.R.2
  • 316
    • 0342955073 scopus 로고    scopus 로고
    • Robustness optimization for constrained nonlinear programming problems
    • I. Das Robustness optimization for constrained nonlinear programming problems Engineering Optimization 32 5 2000 585 618
    • (2000) Engineering Optimization , vol.32 , Issue.5 , pp. 585-618
    • Das, I.1
  • 324
    • 0000057830 scopus 로고    scopus 로고
    • Automatic differentiation in robust optimization
    • J. Su, and J.E. Renaud Automatic differentiation in robust optimization AIAA Journal 35 6 1997 1072 1079 (Pubitemid 127563370)
    • (1997) AIAA Journal , vol.35 , Issue.6 , pp. 1072-1079
    • Su, J.1    Renaud, J.E.2
  • 329
    • 11344293325 scopus 로고    scopus 로고
    • A review of robust optimal design and its application in dynamics
    • DOI 10.1016/j.compstruc.2004.10.007, PII S0045794904004079
    • C. Zang, M.I. Friswell, and J.E. Mottershead A review of robust optimal design and its application in dynamics Computers and Structures 83 45 2005 315 326 (Pubitemid 40072219)
    • (2005) Computers and Structures , vol.83 , Issue.4-5 , pp. 315-326
    • Zang, C.1    Friswell, M.I.2    Mottershead, J.E.3
  • 332
    • 0032715185 scopus 로고    scopus 로고
    • Statistical approximations for multidisciplinary design optimization: The problem of size
    • P.N. Koch, T.W. Simpson, J.K. Allen, and F. Mistree Statistical approximations for multidisciplinary design optimization: the problem of size Journal of Aircraft 36 1 1999 275 286
    • (1999) Journal of Aircraft , vol.36 , Issue.1 , pp. 275-286
    • Koch, P.N.1    Simpson, T.W.2    Allen, J.K.3    Mistree, F.4
  • 340
    • 33747046976 scopus 로고    scopus 로고
    • New decoupled framework for reliability-based design optimization
    • H. Agarwal, and J.E. Renaud New decoupled framework for reliability-based design optimization AIAA Journal 44 7 2006 1524 1531 (Pubitemid 44212396)
    • (2006) AIAA Journal , vol.44 , Issue.7 , pp. 1524-1531
    • Agarwal, H.1    Renaud, J.E.2
  • 341
    • 72149112792 scopus 로고    scopus 로고
    • Sequential optimization and reliability assessment for multidisciplinary design optimization under aleatory and epistemic uncertainties
    • X. Zhang, and H. Huang Sequential optimization and reliability assessment for multidisciplinary design optimization under aleatory and epistemic uncertainties Journal of Structural and Multidisciplinary Optimization 40 1 2010 165 175
    • (2010) Journal of Structural and Multidisciplinary Optimization , vol.40 , Issue.1 , pp. 165-175
    • Zhang, X.1    Huang, H.2
  • 342
    • 80052706155 scopus 로고    scopus 로고
    • Multidisciplinary design optimization with discrete and continuous variables of various uncertainties
    • 10.1007/s00158-010-0513-y
    • X. Zhang, H. Huang, and H. Xu Multidisciplinary design optimization with discrete and continuous variables of various uncertainties Journal of Structural and Multidisciplinary Optimization 2010 10.1007/s00158-010-0513-y
    • (2010) Journal of Structural and Multidisciplinary Optimization
    • Zhang, X.1    Huang, H.2    Xu, H.3
  • 343
    • 24144452501 scopus 로고    scopus 로고
    • Integrating system-level and component-level designs under uncertainty
    • N. Smith, and S. Mahadevan Integrating system-level and component-level designs under uncertainty Journal of Spacecraft and Rockets 42 4 2005 752 760 (Pubitemid 41229751)
    • (2005) Journal of Spacecraft and Rockets , vol.42 , Issue.4 , pp. 752-760
    • Smith, N.1    Mahadevan, S.2
  • 344
    • 0035451144 scopus 로고    scopus 로고
    • Reliability-based optimal structural design by the decoupling approach
    • DOI 10.1016/S0951-8320(01)00048-5, PII S0951832001000485
    • J.O. Royset, A. Der Kiureghian, and E. Polak Reliability-based optimal structural design by the decoupling approach Reliability Engineering and System Safety 73 3 2001 213 221 (Pubitemid 32761536)
    • (2001) Reliability Engineering and System Safety , vol.73 , Issue.3 , pp. 213-221
    • Royset, J.O.1    Der Kiureghian, A.2    Polak, E.3
  • 345
    • 32944468866 scopus 로고    scopus 로고
    • A direct decoupling approach for efficient reliability-based design optimization
    • DOI 10.1007/s00158-005-0572-7
    • T. Zou, and S. Mahadevan A direct decoupling approach for efficient reliability-based design optimization Journal of Structural and Multidisciplinary Optimization 31 3 2006 190 200 (Pubitemid 43261432)
    • (2006) Structural and Multidisciplinary Optimization , vol.31 , Issue.3 , pp. 190-200
    • Zou, T.1    Mahadevan, S.2
  • 347
    • 34249827229 scopus 로고    scopus 로고
    • Decoupled approach to multidisciplinary design optimization under uncertainty
    • DOI 10.1007/s11081-007-9014-2
    • A. Chiralaksanakul, and S. Mahadevan Decoupled approach to multidisciplinary design optimization under uncertainty Optimization and Engineering 8 1 2007 21 42 (Pubitemid 46844967)
    • (2007) Optimization and Engineering , vol.8 , Issue.1 , pp. 21-42
    • Chiralaksanakul, A.1    Mahadevan, S.2
  • 349
    • 38349131397 scopus 로고    scopus 로고
    • Sequential optimization and reliability assessment for multidisciplinary systems design
    • X. Du, J. Guo, and H. Beeram Sequential optimization and reliability assessment for multidisciplinary systems design Journal of Structural and Multidisciplinary Optimization 35 2 2008 117 130
    • (2008) Journal of Structural and Multidisciplinary Optimization , vol.35 , Issue.2 , pp. 117-130
    • Du, X.1    Guo, J.2    Beeram, H.3
  • 350
    • 33751165467 scopus 로고    scopus 로고
    • An efficient strategy for reliability-based multidisciplinary design optimization using BLISS
    • DOI 10.1007/s00158-005-0565-6
    • J. Ahn, and J. Kwon An efficient strategy for reliability-based multidisciplinary design optimization using BLISS Journal of Structural and Multidisciplinary Optimization 31 5 2006 363 372 (Pubitemid 44775180)
    • (2006) Structural and Multidisciplinary Optimization , vol.31 , Issue.5 , pp. 363-372
    • Ahn, J.1    Kwon, J.H.2
  • 352
    • 21144434719 scopus 로고    scopus 로고
    • Experience with approximate reliability-based optimization methods II: An exhaust system problem
    • DOI 10.1007/s00158-004-0494-9
    • R.J. Yang, C. Chuang, L. Gu, and G. Li Experience with approximate reliability-based optimization methods II: an exhaust system problem Journal of Structural and Multidisciplinary Optimization 29 6 2005 488 497 (Pubitemid 40878862)
    • (2005) Structural and Multidisciplinary Optimization , vol.29 , Issue.6 , pp. 488-497
    • Yang, R.J.1    Chuang, C.2    Gu, L.3    Li, G.4
  • 354
    • 0037363742 scopus 로고    scopus 로고
    • Multidisciplinary robust design optimization of an internal combustion engine
    • C.D. McAllister, and T.W. Simpson Multidisciplinary robust design optimization of an internal combustion engine Journal of Mechanical Design 125 1 2003 124 130
    • (2003) Journal of Mechanical Design , vol.125 , Issue.1 , pp. 124-130
    • McAllister, C.D.1    Simpson, T.W.2
  • 355
    • 0001671714 scopus 로고
    • The compromise decision support problem and the adaptive linear programming algorithm
    • M.P. Kamat, AIAA
    • F. Mistree, O.F. Hughes, and B.A. Bras The compromise decision support problem and the adaptive linear programming algorithm M.P. Kamat, Structural optimization: status and promise 1993 AIAA 247 289
    • (1993) Structural Optimization: Status and Promise , pp. 247-289
    • Mistree, F.1    Hughes, O.F.2    Bras, B.A.3
  • 364
    • 0025488619 scopus 로고
    • Advanced probabilistic structural analysis method for implicit performance functions
    • Y.T. Wu, H.R. Millwater, and T.A. Cruse Advanced probabilistic structural analysis method for implicit performance functions AIAA Journal 28 19 1990 1663 1669
    • (1990) AIAA Journal , vol.28 , Issue.19 , pp. 1663-1669
    • Wu, Y.T.1    Millwater, H.R.2    Cruse, T.A.3
  • 365
    • 33746405143 scopus 로고    scopus 로고
    • Probabilistic analytical target cascading: A moment matching formulation for multilevel optimization under uncertainty
    • H. Liu, W. Chen, and M. Kokkolaras Probabilistic analytical target cascading: a moment matching formulation for multilevel optimization under uncertainty Journal of Mechanical Design 128 4 2006 503 508
    • (2006) Journal of Mechanical Design , vol.128 , Issue.4 , pp. 503-508
    • Liu, H.1    Chen, W.2    Kokkolaras, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.