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Volumn 43, Issue 2, 1998, Pages 293-328

The MINLP optimization approach to structural synthesis part II: Simultaneous topology, parameter and standard dimension optimization by the use of the linked two-phase MINLP strategy

Author keywords

Discrete variable optimization; MINLP; MINLP strategy; Mixed Integer Non linear Programming; Optimization; Structural synthesis; The Modified OA ER algorithm; Topology optimization

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BEAMS AND GIRDERS; INTEGER PROGRAMMING; LINEAR PROGRAMMING; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; PROBLEM SOLVING; TOPOLOGY;

EID: 0032164735     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980930)43:2<293::AID-NME413>3.0.CO;2-O     Document Type: Article
Times cited : (32)

References (23)
  • 1
    • 1542559632 scopus 로고
    • Nonlinear mixed integer programming and discrete optimization
    • R. W. Mayne and K. M. Ragsdell (eds.), New York
    • O. K. Gupta and A. Ravindran, 'Nonlinear mixed integer programming and discrete optimization', in R. W. Mayne and K. M. Ragsdell (eds.), Progress in Engineering Optimization, New York, 1984, pp. 297-520.
    • (1984) Progress in Engineering Optimization , pp. 297-520
    • Gupta, O.K.1    Ravindran, A.2
  • 2
    • 0025448058 scopus 로고
    • Nonlinear integer and discrete programming in mechanical design optimization
    • E. Sandgren, 'Nonlinear integer and discrete programming in mechanical design optimization', ASME J. Mech. Des., 112(2), 223-229 (1990).
    • (1990) ASME J. Mech. Des. , vol.112 , Issue.2 , pp. 223-229
    • Sandgren, E.1
  • 4
    • 0024771323 scopus 로고
    • Method for nonlinear optimization with discrete design variables
    • G. R. Olsen and G. N. Vanderplaats, 'Method for nonlinear optimization with discrete design variables', AIAA J., 27(11), 1584-1589 (1989).
    • (1989) AIAA J. , vol.27 , Issue.11 , pp. 1584-1589
    • Olsen, G.R.1    Vanderplaats, G.N.2
  • 5
    • 0025626811 scopus 로고
    • Solution of mixed-discrete structural optimization problems with a new sequential linearization method
    • M. Bremicker, P. Y. Papalambros and H. T. Loh, 'Solution of mixed-discrete structural optimization problems with a new sequential linearization method', Comput. Struct., 37(4), 451-461 (1990).
    • (1990) Comput. Struct. , vol.37 , Issue.4 , pp. 451-461
    • Bremicker, M.1    Papalambros, P.Y.2    Loh, H.T.3
  • 6
    • 0019262639 scopus 로고
    • Discrete-continuous variable structural synthesis using dual methods
    • L. A. Schmit and C. Fleury, 'Discrete-continuous variable structural synthesis using dual methods', AIAA J., 18, 1515-1524 (1980).
    • (1980) AIAA J. , vol.18 , pp. 1515-1524
    • Schmit, L.A.1    Fleury, C.2
  • 7
    • 0022735704 scopus 로고
    • An efficient algorithm for the optimum design of trusses with discrete variables
    • A. Sepulveda and J. H. Cassis, 'An efficient algorithm for the optimum design of trusses with discrete variables', Int. J. Numer. Meth. Engng., 23, 1111-1130 (1986).
    • (1986) Int. J. Numer. Meth. Engng. , vol.23 , pp. 1111-1130
    • Sepulveda, A.1    Cassis, J.H.2
  • 8
    • 0030150860 scopus 로고    scopus 로고
    • Approximate discrete variable optimization of frame structures with dual methods
    • E. Salajegheh, 'Approximate discrete variable optimization of frame structures with dual methods', Int. J. Numer. Meth. Engng., 39, 1607-1617 (1996).
    • (1996) Int. J. Numer. Meth. Engng. , vol.39 , pp. 1607-1617
    • Salajegheh, E.1
  • 9
    • 0037572457 scopus 로고
    • Mixed-integer linear programming reformulations for some nonlinear discrete design optimization problems
    • C. A. Floudas and P. M. Pardalos (eds.), Princeton University Press, Princeton
    • I. E. Grossmann, V. T. Voudouris and O. Ghattas, 'Mixed-integer linear programming reformulations for some nonlinear discrete design optimization problems', in C. A. Floudas and P. M. Pardalos (eds.), Recent Advances in Global Optimization, Princeton University Press, Princeton, 1992, pp. 478-512.
    • (1992) Recent Advances in Global Optimization , pp. 478-512
    • Grossmann, I.E.1    Voudouris, V.T.2    Ghattas, O.3
  • 11
    • 0023418970 scopus 로고
    • Relaxation strategy for the structural optimization of process flowsheets
    • G. R. Kocis and I. E. Grossmann, 'Relaxation strategy for the structural optimization of process flowsheets', Ind. Engng. Chem. Res., 26, 1869-1880 (1987).
    • (1987) Ind. Engng. Chem. Res. , vol.26 , pp. 1869-1880
    • Kocis, G.R.1    Grossmann, I.E.2
  • 14
    • 0026867655 scopus 로고
    • Discrete optimization of structures using genetic algorithms
    • S. Rajeev and C. S. Krishnamoorthy, 'Discrete optimization of structures using genetic algorithms', J. Struct. Engng., 118(5), 1233-1250 (1992).
    • (1992) J. Struct. Engng. , vol.118 , Issue.5 , pp. 1233-1250
    • Rajeev, S.1    Krishnamoorthy, C.S.2
  • 15
    • 1542559634 scopus 로고
    • Multiple-objective, shape optimal design via genetic optimization
    • S. Hernandez, M. El-Sayed and C. A. Brebbia (eds.), Computational Mechanics Publications, Southampton, Boston
    • E. Sandgren, 'Multiple-objective, shape optimal design via genetic optimization', in S. Hernandez, M. El-Sayed and C. A. Brebbia (eds.), Computer Aided Optimum Design of Structures IV, Structural Optimization, Computational Mechanics Publications, Southampton, Boston, 1995, pp. 3-10.
    • (1995) Computer Aided Optimum Design of Structures IV, Structural Optimization , pp. 3-10
    • Sandgren, E.1
  • 16
    • 0030084705 scopus 로고    scopus 로고
    • Genetic algorithms as an approach to optimize real-word trusses
    • M. Galante, 'Genetic algorithms as an approach to optimize real-word trusses', Int. J. Numer. Meth. Engng., 39, 361-382 (1996).
    • (1996) Int. J. Numer. Meth. Engng. , vol.39 , pp. 361-382
    • Galante, M.1
  • 17
    • 0028532792 scopus 로고
    • New developments and capabilities in PROSYN - An automated topology and parameter process synthesizer
    • Z. Kravanja and I. E. Grossmann, 'New developments and capabilities in PROSYN - an automated topology and parameter process synthesizer', Comput. Chem. Engng., 18, 1097-1114 (1994).
    • (1994) Comput. Chem. Engng. , vol.18 , pp. 1097-1114
    • Kravanja, Z.1    Grossmann, I.E.2
  • 21
    • 0004323381 scopus 로고
    • MINOS user's guide
    • System Optimization Laboratory, Department of Operations Research, Stanford University
    • B. A. Murtagh and M. A. Saunders, 'MINOS user's guide', Technical Report SOL 83-20, System Optimization Laboratory, Department of Operations Research, Stanford University, 1985.
    • (1985) Technical Report SOL 83-20
    • Murtagh, B.A.1    Saunders, M.A.2
  • 22
    • 85034486573 scopus 로고    scopus 로고
    • OSL, Optimization Subroutine Library, From IBM, Release 2
    • OSL, Optimization Subroutine Library, From IBM, Release 2.
  • 23
    • 0025459923 scopus 로고
    • A combined penalty function and outer-aproximation method for MINLP Optimization
    • J. Viswanathan and I. E. Grossmann, 'A combined penalty function and outer-aproximation method for MINLP Optimization', Comput. Chem. Engng., 14, 769-782 (1990).
    • (1990) Comput. Chem. Engng. , vol.14 , pp. 769-782
    • Viswanathan, J.1    Grossmann, I.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.