메뉴 건너뛰기




Volumn 74, Issue 1, 2011, Pages 39-64

Reliability-based multiobjective design optimization under interval uncertainty

Author keywords

Approximation model; Multiobjective optimization; Reliability based optimization; Response surface method (RSM); Satisfaction degree of interval

Indexed keywords

APPROXIMATION MODEL; MULTI OBJECTIVE; RELIABILITY BASED OPTIMIZATION; RESPONSE SURFACE METHOD; SATISFACTION DEGREES;

EID: 79961057144     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (48)
  • 3
    • 0028167365 scopus 로고
    • A non-probabilistic concept of reliability
    • DOI 10.1016/0167-4730(94)90013-2
    • Ben-Haim, Y. (1994): A non-probabilistic concept of reliability. Structural Safety, vol. 14, pp.227-245. (Pubitemid 24431614)
    • (1994) Structural Safety , vol.14 , Issue.4 , pp. 227-245
    • Ben-Haim, Y.1
  • 4
    • 44649149897 scopus 로고
    • Sequential quadratic programming
    • Cambridge University Press
    • Boggs, P.T., Tolle, J.W. (1995): Sequential Quadratic Programming. Acta Numerica, Cambridge University Press.
    • (1995) Acta Numerica
    • Boggs, P.T.1    Tolle, J.W.2
  • 6
    • 0036530772 scopus 로고    scopus 로고
    • A fast and elitist multiobjective genetic algorithm: NSGA-II
    • DOI 10.1109/4235.996017, PII S1089778X02041012
    • Deb, K., Pratap, A., Agarwal, S., Meyarivan, T. (2002): A fast and elitist multiobjective genetic algorithm: NSGA. IEEE Trans. Evolutionary Computation, vol. 6, pp. 182-197. (Pubitemid 34555372)
    • (2002) IEEE Transactions on Evolutionary Computation , vol.6 , Issue.2 , pp. 182-197
    • Deb, K.1    Pratap, A.2    Agarwal, S.3    Meyarivan, T.4
  • 8
    • 0037798327 scopus 로고
    • Discussion on: A non-probabilistic concept of reliability
    • Elishakoff, I. (1995): Discussion on: a non-probabilistic concept of reliability. Structural Safety, vol. 17, pp. 195-199.
    • (1995) Structural Safety , vol.17 , pp. 195-199
    • Elishakoff, I.1
  • 10
    • 23144459061 scopus 로고    scopus 로고
    • A comparative study of metamodeling methods for multiobjective crashworthiness optimization
    • DOI 10.1016/j.compstruc.2005.02.025, PII S0045794905001355
    • Fang, H., Rais-Rohani, M., Liu, Z., Horstemeyer, M.F. (2005): A comparative study of metamodeling methods for multiobjective crashworthiness optimization. Computers & Structures, vol. 83, pp. 2121-2136. (Pubitemid 41084679)
    • (2005) Computers and Structures , vol.83 , Issue.25-26 , pp. 2121-2136
    • Fang, H.1    Rais-Rohani, M.2    Liu, Z.3    Horstemeyer, M.F.4
  • 11
    • 0033906307 scopus 로고    scopus 로고
    • Optimum structural design via convex model superposition
    • DOI 10.1016/S0045-7949(99)00077-2
    • Ganzerli, S., Pantelides, C.P. (2000): Optimum structural design via convex model superposition. Computers & Structures, vol. 74, pp. 639-647. (Pubitemid 30548858)
    • (2000) Computers and Structures , vol.74 , Issue.6 , pp. 639-647
    • Ganzerli, S.1    Pantelides, C.P.2
  • 12
    • 76249127466 scopus 로고    scopus 로고
    • Probabilistic interval response and reliability analysis of structures with a mixture of random and interval properties
    • Gao, W., Song, C.M., Tin-Loi, F. (2006): Probabilistic interval response and reliability analysis of structures with a mixture of random and interval properties. CMES: Computer Modeling in Engineering & Sciences, vol. 46, pp. 151-189.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.46 , pp. 151-189
    • Gao, W.1    Song, C.M.2    Tin-Loi, F.3
  • 13
    • 63349106651 scopus 로고    scopus 로고
    • An improved multiobjective differential evolution based on Pareto-adaptive e-dominance and orthogonal design
    • Gong, W.Y., Cai, Z.H. (2009): An improved multiobjective differential evolution based on Pareto-adaptive e-dominance and orthogonal design. European Journal of Operational Research, vol. 198, pp. 576-601.
    • (2009) European Journal of Operational Research , vol.198 , pp. 576-601
    • Gong, W.Y.1    Cai, Z.H.2
  • 14
    • 48349141603 scopus 로고    scopus 로고
    • Multiobjective optimization of multi-cell sections for the crashworthiness design
    • Hou, S. J.; Li, Q.; Long, S. R.; Yang ,X .J.; Li,W.(2008): Multiobjective optimization of multi-cell sections for the crashworthiness design. International Journal of Impact Engineering, vol. 35, pp.1355-1367.
    • (2008) International Journal of Impact Engineering , vol.35 , pp. 1355-1367
    • Hou, S.J.1    Li, Q.2    Long, S.R.3    Yang, X.J.4    Li, W.5
  • 15
    • 0025480980 scopus 로고
    • Multiobjective programming in optimization of the interval objective function
    • Ishibuchi, H., Tanaka, H. (1990): Multiobjective programming in optimization of the interval objective function. European Journal of Operational Research, vol. 48, pp. 219-225.
    • (1990) European Journal of Operational Research , vol.48 , pp. 219-225
    • Ishibuchi, H.1    Tanaka, H.2
  • 16
    • 33846592347 scopus 로고    scopus 로고
    • A semi-analytic method for calculating non-probabilistic reliability index based on interval models
    • Jiang, T., Chen, J.J., Xu, Y.L. (2007): A semi-analytic method for calculating non-probabilistic reliability index based on interval models. Applied Mathematical Modelling, vol. 31, pp. 1362-1370.
    • (2007) Applied Mathematical Modelling , vol.31 , pp. 1362-1370
    • Jiang, T.1    Chen, J.J.2    Xu, Y.L.3
  • 17
    • 34548800730 scopus 로고    scopus 로고
    • Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval
    • DOI 10.1016/j.cma.2007.03.024, PII S0045782507001478
    • Jiang, C., Han, X., Liu, G.R. (2007a): Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 4791-4800. (Pubitemid 47423960)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.49-52 , pp. 4791-4800
    • Jiang, C.1    Han, X.2    Liu, G.R.3
  • 18
    • 36448949442 scopus 로고    scopus 로고
    • A new uncertain optimization method based on intervals and an approximation management model
    • Jiang, C.; Han, X. (2007b): A new uncertain optimization method based on intervals and an approximation management model. CMES: Computer Modeling in Engineering & Sciences, vol.22, no 2, pp. 97-118. (Pubitemid 350163705)
    • (2007) CMES - Computer Modeling in Engineering and Sciences , vol.22 , Issue.2 , pp. 97-118
    • Jiang, C.1    Han, X.2
  • 19
    • 52749087968 scopus 로고    scopus 로고
    • A sequential nonlinear interval number programming method for uncertain structures
    • Jiang, C., Han, X., Liu, G.P. (2008a): A sequential nonlinear interval number programming method for uncertain structures. Computer Methods in Applied Mechanics and Engineering, vol. 197, pp. 4250-4265.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , pp. 4250-4265
    • Jiang, C.1    Han, X.2    Liu, G.P.3
  • 21
    • 78649995420 scopus 로고    scopus 로고
    • An efficient reliability-based optimization method for uncertain structures based on non-probability interval model
    • Jiang. C., Bai, Y.C., Han, X., Ning, H.M. (2010): An efficient reliability-based optimization method for uncertain structures based on non-probability interval model. CMC: Computers Materials & Continua, vol. 18, pp. 21-42.
    • (2010) CMC: Computers Materials & Continua , vol.18 , pp. 21-42
    • Jiang, C.1    Bai, Y.C.2    Han, X.3    Ning, H.M.4
  • 22
    • 72149090422 scopus 로고    scopus 로고
    • A new multi-objective programming scheme for topology optimization of compliant mechanisms
    • Lin, J., Luo, Z., Tong, L. (2010): A new multi-objective programming scheme for topology optimization of compliant mechanisms. Structural and Multidisciplinary Optimization, vol. 40, pp. 241-255.
    • (2010) Structural and Multidisciplinary Optimization , vol.40 , pp. 241-255
    • Lin, J.1    Luo, Z.2    Tong, L.3
  • 23
    • 70349620876 scopus 로고    scopus 로고
    • Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model
    • Luo, Y.J., Kang, Z., Luo, Z., Li, A. (2009): Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model. Structural and Multidisciplinary Optimization, vol. 39, pp. 297-310.
    • (2009) Structural and Multidisciplinary Optimization , vol.39 , pp. 297-310
    • Luo, Y.J.1    Kang, Z.2    Luo, Z.3    Li, A.4
  • 24
    • 28544452264 scopus 로고    scopus 로고
    • Fuzzy tolerance multilevel approach for structural topology optimization
    • DOI 10.1016/j.compstruc.2005.10.001, PII S0045794905003263
    • Luo, Z., Chen, L., Yang, J. (2006): Fuzzy tolerance multilevel approach for structural topology optimization, Computers & Structures, vol. 84, pp.127-140. (Pubitemid 41745464)
    • (2006) Computers and Structures , vol.84 , Issue.3-4 , pp. 127-140
    • Luo, Z.1    Chen, L.-P.2    Yang, J.3    Zhang, Y.-Q.4    Abdel-Malek, K.5
  • 25
    • 33846846308 scopus 로고    scopus 로고
    • A hybrid fuzzy-goal programming scheme for multi-objective topology optimization of static and dynamic structures
    • Luo, Z., Yang, J., Chen, L. (2006): A hybrid fuzzy-goal programming scheme for multi-objective topology optimization of static and dynamic structures. Structural and Multidisciplinary Optimization, vol. 31, pp. 26-39.
    • (2006) Structural and Multidisciplinary Optimization , vol.31 , pp. 26-39
    • Luo, Z.1    Yang, J.2    Chen, L.3
  • 26
    • 3442890667 scopus 로고    scopus 로고
    • A satisfactory solution for interval number linear programming
    • Liu, X.W., Da, Q.L. (1999): A satisfactory solution for interval number linear programming. Journal of Systems Engineering, China, vol. 14, pp. 123-128.
    • (1999) Journal of Systems Engineering, China , vol.14 , pp. 123-128
    • Liu, X.W.1    Da, Q.L.2
  • 27
    • 2442628344 scopus 로고    scopus 로고
    • Optimal bridge maintenance planning based on probabilistic performance prediction
    • DOI 10.1016/j.engstruct.2004.03.003, PII S0141029604000707
    • Liu, M., Frangopol, D.M. (2004): Optimal bridge maintenance planning based on probabilistic performance prediction. Engineering Structures, vol. 26, pp. 991-1002. (Pubitemid 38617177)
    • (2004) Engineering Structures , vol.26 , Issue.7 , pp. 991-1002
    • Liu, M.1    Frangopol, D.M.2
  • 28
    • 67649449001 scopus 로고    scopus 로고
    • A two-stage approach for multiobjective decision making with applications to system reliability optimization
    • Li, Z., Liao, H., Coitc, D.W. (2009): A two-stage approach for multiobjective decision making with applications to system reliability optimization. Reliability Engineering & System Safety, vol. 94, pp. 1585-1592.
    • (2009) Reliability Engineering & System Safety , vol.94 , pp. 1585-1592
    • Li, Z.1    Liao, H.2    Coitc, D.W.3
  • 29
    • 77955220299 scopus 로고    scopus 로고
    • Multiobjective collaborative robust optimization with interval uncertainty and interdisciplinary uncertainty propagation
    • Li, M., Azarm, S. (2008): Multiobjective collaborative robust optimization with interval uncertainty and interdisciplinary uncertainty propagation. Journal of Mechanical Design, vol. 130, pp. 719-729.
    • (2008) Journal of Mechanical Design , vol.130 , pp. 719-729
    • Li, M.1    Azarm, S.2
  • 32
    • 69549116220 scopus 로고    scopus 로고
    • Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models
    • Kang, Z., Luo, Y. (2009): Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models. Computer Methods in Applied Mechanics and Engineering, vol. 198, pp. 3228-3238.
    • (2009) Computer Methods in Applied Mechanics and Engineering , vol.198 , pp. 3228-3238
    • Kang, Z.1    Luo, Y.2
  • 33
    • 77952954183 scopus 로고    scopus 로고
    • Reliability-based structural optimization with probability and convex set hybrid models
    • Kang, Z., Luo, Y. (2010): Reliability-based structural optimization with probability and convex set hybrid models. Structural and Multidisciplinary Optimization, vol. 42, pp. 89-102.
    • (2010) Structural and Multidisciplinary Optimization , vol.42 , pp. 89-102
    • Kang, Z.1    Luo, Y.2
  • 35
    • 41549143160 scopus 로고    scopus 로고
    • Engineering computation under uncertainty - Capabilities of non-traditional models
    • DOI 10.1016/j.compstruc.2007.05.041, PII S0045794907002210
    • Möller, B., Beer, M. (2008): Engineering computation under uncertainty -capabilities of non-traditional models. Computers & Structures, vol. 86, pp. 1024-1041. (Pubitemid 351471770)
    • (2008) Computers and Structures , vol.86 , Issue.10 , pp. 1024-1041
    • Moller, B.1    Beer, M.2
  • 37
    • 13844318857 scopus 로고    scopus 로고
    • A survey of non-probabilistic uncertainty treatment in finite element analysis
    • DOI 10.1016/j.cma.2004.03.019, PII S0045782504004049, Computational Methods in Stochastic Mechanics Reliability Analysis
    • Moens, D., Vandepitte, D. (2005): A survey of non-probabilistic uncertainty treatment in finite element analysis. Computer Methods in Applied Mechanics And Engineering, vol. 194, pp. 1527-1555. (Pubitemid 40262941)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.12-16 , pp. 1527-1555
    • Moens, D.1    Vandepitte, D.2
  • 38
    • 37849188689 scopus 로고    scopus 로고
    • Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis
    • DOI 10.1007/BF02736398
    • Moens, D., Vandepitte, D. (2006): Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis. Archives of Computational Methods in Engineering, vol. 13, pp. 389-464. (Pubitemid 44825369)
    • (2006) Archives of Computational Methods in Engineering , vol.13 , Issue.3 , pp. 389-464
    • Moens, D.1    Vandepitte, D.2
  • 39
    • 37549062129 scopus 로고    scopus 로고
    • Frequency-based reliability Pareto optimum design of proportional- integral-derivative controllers for systems with probabilistic uncertainty. Part i
    • Nariman-zadeh, N., Jamali, A., Hajiloo, A. (2007): Frequency-based reliability Pareto optimum design of proportional-integral-derivative controllers for systems with probabilistic uncertainty. Part I: Journal of Systems and Control Engineering, vol. 221, pp. 1061-1075.
    • (2007) Journal of Systems and Control Engineering , vol.221 , pp. 1061-1075
    • Nariman-Zadeh, N.1    Jamali, A.2    Hajiloo, A.3
  • 40
    • 0032027204 scopus 로고    scopus 로고
    • Design of trusses under uncertain loads using convex models
    • Pantelides, C.P., Ganzerli, S. (1998): Design of trusses under uncertain loads using convex models. Journal of Structural Engineering, vol. 124, pp. 318-329. (Pubitemid 128600753)
    • (1998) Journal of Structural Engineering , vol.124 , Issue.3 , pp. 318-329
    • Pantelides, C.P.1    Ganzerli, S.2
  • 41
    • 0033883288 scopus 로고    scopus 로고
    • Computer-aided design of optimal structures with uncertainty
    • DOI 10.1016/S0045-7949(99)00047-4
    • Pantelides, C.P., Booth, B.C. (2000): Computer-aided design of optimal structures with uncertainty. Computers & Structures, vol. 74, pp. 293-307. (Pubitemid 30509363)
    • (2000) Computers and Structures , vol.74 , Issue.3 , pp. 293-307
    • Pantelides, C.P.1    Booth, B.C.2
  • 42
    • 0031696684 scopus 로고    scopus 로고
    • Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
    • PII S004578259601211X
    • Qiu, Z.P., Elishakoff, I. (1998): Anti-optimization of structures with large uncertainbut-non-random parameters via interval analysis. Computer Methods in Applied Mechanics and Engineering, vol. 152, pp. 361-372. (Pubitemid 128402583)
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.152 , Issue.3-4 , pp. 361-372
    • Qiu, Z.1    Elishakoff, I.2
  • 44
    • 33846691492 scopus 로고    scopus 로고
    • Reliability-based multiobjective optimization for automotive crashworthiness and occupant safety
    • DOI 10.1007/s00158-006-0050-x
    • Sinha, K. (2007): Reliability-based multiobjective optimization for automotive crashworthiness and occupant safety. Structural and Multidisciplinary Optimization, vol. 33, pp. 255-268. (Pubitemid 46198782)
    • (2007) Structural and Multidisciplinary Optimization , vol.33 , Issue.3 , pp. 255-268
    • Sinha, K.1
  • 46
    • 63149128570 scopus 로고    scopus 로고
    • Particle swarm optimization with preference order ranking for multiobjective optimization
    • Wang, Y.J., Yang, Y.P. (2009): Particle swarm optimization with preference order ranking for multiobjective optimization. Information Sciences, vol. 179, pp. 1944-1959.
    • (2009) Information Sciences , vol.179 , pp. 1944-1959
    • Wang, Y.J.1    Yang, Y.P.2
  • 47
  • 48
    • 38049023274 scopus 로고    scopus 로고
    • Possibility degree method for ranking interval numbers and its application
    • Xu, Z.S., Da, Q.L. (2003): Possibility degree method for ranking interval numbers and its application. Journal of Systems Engineering, China, vol. 18, pp. 67-70.
    • (2003) Journal of Systems Engineering, China , vol.18 , pp. 67-70
    • Xu, Z.S.1    Da, Q.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.