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Volumn 47, Issue 2, 2010, Pages 257-288

An algorithm for nonlinear optimization problems with binary variables

Author keywords

Discrete variables; Nonlinear integer programming; Smoothing methods

Indexed keywords

BINARY VARIABLES; COMPUTATIONAL RESULTS; CONTINUOUS VARIABLES; DISCRETE VARIABLES; GLOBAL OPTIMIZATION PROBLEMS; GLOBAL OPTIMUM; LOCAL MINIMIZER; NON-LINEAR INTEGER PROGRAMMING; NON-LINEAR OPTIMIZATION PROBLEMS; NONLINEAR PROGRAMMING PROBLEM; OPTIMAL SOLUTIONS; OPTIMIZATION PROBLEMS; SMOOTHING METHODS; SMOOTHING TECHNIQUES; SUB-PROBLEMS; TEST PROBLEM;

EID: 77952005275     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-008-9218-1     Document Type: Article
Times cited : (120)

References (34)
  • 2
    • 58149516166 scopus 로고    scopus 로고
    • Ph.D. thesis, Scientific Computing and Computational Mathematics Program, Stanford University, Stanford
    • Boman, E.G.: Infeasibility and negative curvature in optimization. Ph.D. thesis, Scientific Computing and Computational Mathematics Program, Stanford University, Stanford (1999)
    • (1999) Infeasibility and Negative Curvature in Optimization
    • Boman, E.G.1
  • 3
    • 55149120037 scopus 로고
    • An exact penalty approach for solving a class of minimization problems with boolean variables
    • 0664.90057 10.1080/02331938808843396 967042
    • M. Borchardt 1988 An exact penalty approach for solving a class of minimization problems with boolean variables Optimization 19 6 829 838 0664.90057 10.1080/02331938808843396 967042
    • (1988) Optimization , vol.19 , Issue.6 , pp. 829-838
    • Borchardt, M.1
  • 4
    • 67349209089 scopus 로고    scopus 로고
    • Globally solving box-constrained nonconvex quadratic programs with semidefinite-based finite branch-and-bound
    • 10.1007/s10589-007-9137-6
    • S. Burer D. Vandenbussche 2007 Globally solving box-constrained nonconvex quadratic programs with semidefinite-based finite branch-and-bound Comput. Optim. Appl. 10.1007/s10589-007-9137-6
    • (2007) Comput. Optim. Appl.
    • Burer, S.1    Vandenbussche, D.2
  • 8
    • 0020763823 scopus 로고
    • Truncated-Newton algorithms for large-scale unconstrained optimization
    • 0523.90078 10.1007/BF02592055 700647
    • R.S. Dembo T. Steihaug 1983 Truncated-Newton algorithms for large-scale unconstrained optimization Math. Program. 26 190 212 0523.90078 10.1007/BF02592055 700647
    • (1983) Math. Program. , vol.26 , pp. 190-212
    • Dembo, R.S.1    Steihaug, T.2
  • 10
    • 0022902024 scopus 로고
    • An outer approximation algorithm for a class of mixed-integer nonlinear programs
    • 0619.90052 10.1007/BF02592064 866413
    • M.A. Duran I.E. Grossmann 1986 An outer approximation algorithm for a class of mixed-integer nonlinear programs Math. Program. 36 307 339 0619.90052 10.1007/BF02592064 866413
    • (1986) Math. Program. , vol.36 , pp. 307-339
    • Duran, M.A.1    Grossmann, I.E.2
  • 12
    • 0000106422 scopus 로고
    • Computing modified Newton directions using a partial Cholesky factorization
    • 0823.49021 10.1137/0916009 1311682
    • A. Forsgren P.E. Gill W. Murray 1995 Computing modified Newton directions using a partial Cholesky factorization SIAM J. Sci. Comput. 16 139 150 0823.49021 10.1137/0916009 1311682
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 139-150
    • Forsgren, A.1    Gill, P.E.2    Murray, W.3
  • 13
    • 21144480332 scopus 로고
    • Newton methods for large-scale linear equality-constrained minimization
    • 0774.65034 10.1137/0614040 1211808
    • A. Forsgren W. Murray 1993 Newton methods for large-scale linear equality-constrained minimization SIAM J. Matrix Anal. Appl. 14 2 560 587 0774.65034 10.1137/0614040 1211808
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , Issue.2 , pp. 560-587
    • Forsgren, A.1    Murray, W.2
  • 14
    • 18844379744 scopus 로고
    • A continuous approach to nonlinear integer programming
    • 0682.90067 10.1016/0096-3003(89)90005-2 1020593
    • R. Ge C. Huang 1989 A continuous approach to nonlinear integer programming Appl. Math. Comput. 34 39 60 0682.90067 10.1016/0096-3003(89)90005-2 1020593
    • (1989) Appl. Math. Comput. , vol.34 , pp. 39-60
    • Ge, R.1    Huang, C.2
  • 15
    • 0016357685 scopus 로고
    • Newton-type methods for unconstrained and linearly constrained optimization
    • 0297.90082 10.1007/BF01585529 356503
    • P.E. Gill W. Murray 1974 Newton-type methods for unconstrained and linearly constrained optimization Math. Program. 7 311 350 0297.90082 10.1007/BF01585529 356503
    • (1974) Math. Program. , vol.7 , pp. 311-350
    • Gill, P.E.1    Murray, W.2
  • 21
    • 0001154274 scopus 로고
    • Cones of matrices and set-functions and 0-1 optimization
    • 0754.90039 10.1137/0801013 1098425
    • L. Lovász A. Schrijver 1991 Cones of matrices and set-functions and 0-1 optimization SIAM J. Optim. 1 166 190 0754.90039 10.1137/0801013 1098425
    • (1991) SIAM J. Optim. , vol.1 , pp. 166-190
    • Lovász, L.1    Schrijver, A.2
  • 22
    • 0347923972 scopus 로고
    • Solving nonlinear integer programs with large-scale optimization software
    • 948028
    • H. Mawengkang B.A. Murtagh 1985 Solving nonlinear integer programs with large-scale optimization software Ann. Oper. Res. 5 425 437 948028
    • (1985) Ann. Oper. Res. , vol.5 , pp. 425-437
    • Mawengkang, H.1    Murtagh, B.A.2
  • 24
    • 0031285908 scopus 로고    scopus 로고
    • Global Continuation for Distance Geometry Problems
    • J.J. Moré Z. Wu 1997 Global continuation for distance geometry problems SIAM J. Optim. 7 814 836 0891.90168 10.1137/S1052623495283024 1462067 (Pubitemid 127108820)
    • (1997) SIAM Journal on Optimization , vol.7 , Issue.3 , pp. 814-836
    • More, J.J.1    Wu, Z.2
  • 25
    • 73649140700 scopus 로고    scopus 로고
    • Algorithms for global optimization and discrete problems based on methods for local optimization
    • P. Pardalos E. Romeijn (eds). Kluwer Academic Boston. Chapter 3
    • Murray, W., Ng, K.-M.: Algorithms for global optimization and discrete problems based on methods for local optimization. In: Pardalos, P., Romeijn, E. (eds.) Heuristic Approaches. Handbook of Global Optimization, vol. 2, pp. 87-114. Kluwer Academic, Boston (2002), Chapter 3
    • (2002) Heuristic Approaches Handbook of Global Optimization , vol.2 , pp. 87-114
    • Murray, W.1    Ng, K.-M.2
  • 27
    • 55149120789 scopus 로고    scopus 로고
    • A global continuation algorithm for solving binary quadratic programming problems
    • 1168.90571 10.1007/s10589-007-9110-4 2452658
    • S. Pan T. Tan Y. Jiang 2008 A global continuation algorithm for solving binary quadratic programming problems Comput. Optim. Appl. 41 3 349 362 1168.90571 10.1007/s10589-007-9110-4 2452658
    • (2008) Comput. Optim. Appl. , vol.41 , Issue.3 , pp. 349-362
    • Pan, S.1    Tan, T.2    Jiang, Y.3
  • 28
    • 0026115796 scopus 로고
    • Construction of test problems in quadratic bivalent programming
    • DOI 10.1145/103147.103156
    • P.M. Pardalos 1991 Construction of test problems in quadratic bivalent programming ACM Trans. Math. Softw. 17 1 74 87 0900.65183 10.1145/103147.103156 1103629 (Pubitemid 23599717)
    • (1991) ACM Transactions on Mathematical Software , vol.17 , Issue.1 , pp. 74-87
    • Pardalos Panos, M.1
  • 29
    • 9744260535 scopus 로고    scopus 로고
    • Continuous approaches to discrete optimization problems
    • G. Di F. Giannesi (eds). Plenum New York
    • Pardalos, P.M.: Continuous approaches to discrete optimization problems. In: Di, G., Giannesi, F. (eds.) Nonlinear Optimization and Applications, pp. 313-328. Plenum, New York (1996)
    • (1996) Nonlinear Optimization and Applications , pp. 313-328
    • Pardalos, P.M.1
  • 33
    • 2942665751 scopus 로고    scopus 로고
    • Global optimization of mixed-integer nonlinear programs: A theoretical and computational study
    • DOI 10.1007/s10107-003-0467-6
    • M. Tawarmalani N.V. Sahinidis 2004 Global optimization of mixed-integer nonlinear programs: A theoretical and computational study Math. Program. 99 3 563 591 1062.90041 10.1007/s10107-003-0467-6 2051712 (Pubitemid 40871718)
    • (2004) Mathematical Programming , vol.99 , Issue.3 , pp. 563-591
    • Tawarmalani, M.1    Sahinidis, N.V.2
  • 34
    • 0032653306 scopus 로고    scopus 로고
    • Nonlinear integer programming and global optimization
    • 0936.65067 1688020
    • L.-S. Zhang F. Gao W.-X. Zhu 1999 Nonlinear integer programming and global optimization J. Comput. Math. 17 2 179 190 0936.65067 1688020
    • (1999) J. Comput. Math. , vol.17 , Issue.2 , pp. 179-190
    • Zhang, L.-S.1    Gao, F.2    Zhu, W.-X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.