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Volumn 2, Issue 2, 2005, Pages 113-122

A semidefinite optimization approach for the single-row layout problem with unequal dimensions

Author keywords

Combinatorial optimization; Facilities planning and design; Global optimization; Semidefinite optimization; Space allocation

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER PROGRAMMING; CONSTRAINT THEORY; HEURISTIC METHODS; LINEARIZATION; PROBLEM SOLVING; RELAXATION PROCESSES;

EID: 22644442762     PISSN: 15725286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disopt.2005.03.001     Document Type: Article
Times cited : (111)

References (32)
  • 2
    • 84867957035 scopus 로고    scopus 로고
    • Semidefinite programming for discrete optimization and matrix completion problems
    • M.F. Anjos, and H. Wolkowicz Semidefinite programming for discrete optimization and matrix completion problems Discrete Appl. Math. 123 1-2 2002 513 577
    • (2002) Discrete Appl. Math. , vol.123 , Issue.1-2 , pp. 513-577
    • Anjos, M.F.1    Wolkowicz, H.2
  • 3
    • 0038823138 scopus 로고    scopus 로고
    • Solving large quadratic assignment problems on computational grids
    • K. Anstreicher, N. Brixius, J.-P. Goux, and J. Linderoth Solving large quadratic assignment problems on computational grids Math. Programming 91 3, Ser. B 2002 563 588
    • (2002) Math. Programming , vol.91 , Issue.3 , pp. 563-588
    • Anstreicher, K.1    Brixius, N.2    Goux, J.-P.3    Linderoth, J.4
  • 4
    • 0039772219 scopus 로고    scopus 로고
    • Solving large-scale sparse semidefinite programs for combinatorial optimization
    • S.J. Benson, Y. Ye, and X. Zhang Solving large-scale sparse semidefinite programs for combinatorial optimization SIAM J. Optim. 10 2 2000 443 461 (electronic)
    • (2000) SIAM J. Optim. , vol.10 , Issue.2 , pp. 443-461
    • Benson, S.J.1    Ye, Y.2    Zhang, X.3
  • 5
    • 1542291025 scopus 로고    scopus 로고
    • Semidefinite programming in the space of partial positive semidefinite matrices
    • S. Burer Semidefinite programming in the space of partial positive semidefinite matrices. SIAM J. Optim. 14 1 2003 139 172 (electronic)
    • (2003) SIAM J. Optim. , vol.14 , Issue.1 , pp. 139-172
    • Burer, S.1
  • 6
    • 0035238840 scopus 로고    scopus 로고
    • Exploiting sparsity in semidefinite programming via matrix completion, I: General framework
    • M. Fukuda, M. Kojima, K. Murota, and K. Nakata Exploiting sparsity in semidefinite programming via matrix completion, I: general framework SIAM J. Optim. 11 3 2000/01 647 674 (electronic)
    • (2000) SIAM J. Optim. , vol.11 , Issue.3 , pp. 647-674
    • Fukuda, M.1    Kojima, M.2    Murota, K.3    Nakata, K.4
  • 7
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • M.X. Goemans, and D.P. Williamson Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming J. Assoc. Comput. Mach. 42 6 1995 1115 1145
    • (1995) J. Assoc. Comput. Mach. , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 8
    • 0021521702 scopus 로고
    • A cutting plane algorithm for the linear ordering problem
    • M. Grötschel, M. Jünger, and G. Reinelt A cutting plane algorithm for the linear ordering problem Oper. Res. 32 6 1984 1195 1220
    • (1984) Oper. Res. , vol.32 , Issue.6 , pp. 1195-1220
    • Grötschel, M.1    Jünger, M.2    Reinelt, G.3
  • 10
    • 22644437530 scopus 로고    scopus 로고
    • A cutting plane algorithm for large scale semidefinite relaxations
    • M. Grötschel (Ed.), The Sharpest Cut SIAM, Philadelphia, PA
    • C. Helmberg, A cutting plane algorithm for large scale semidefinite relaxations, in: M. Grötschel (Ed.), The Sharpest Cut, MPS/SIAM Series of Optimization, SIAM, Philadelphia, PA, 2004, pp. 233-256.
    • (2004) MPS/SIAM Series of Optimization , pp. 233-256
    • Helmberg, C.1
  • 11
    • 1542307069 scopus 로고    scopus 로고
    • A spectral bundle method with bounds
    • C. Helmberg, and K.C. Kiwiel A spectral bundle method with bounds Math. Programming 93 2, Ser. A 2002 173 194
    • (2002) Math. Programming , vol.93 , Issue.2 , pp. 173-194
    • Helmberg, C.1    Kiwiel, K.C.2
  • 12
    • 0034415006 scopus 로고    scopus 로고
    • A spectral bundle method for semidefinite programming
    • C. Helmberg, and F. Rendl A spectral bundle method for semidefinite programming SIAM J. Optim. 10 3 2000 673 696 (electronic)
    • (2000) SIAM J. Optim. , vol.10 , Issue.3 , pp. 673-696
    • Helmberg, C.1    Rendl, F.2
  • 13
    • 0026826080 scopus 로고
    • Experimental analysis of simulated annealing based algorithms for the layout problem
    • S.S. Heragu, and A.S. Alfa Experimental analysis of simulated annealing based algorithms for the layout problem European J. Oper. Res. 57 2 1992 190 202
    • (1992) European J. Oper. Res. , vol.57 , Issue.2 , pp. 190-202
    • Heragu, S.S.1    Alfa, A.S.2
  • 14
    • 0023978605 scopus 로고
    • Machine layout problem in flexible manufacturing systems
    • S.S. Heragu, and A. Kusiak Machine layout problem in flexible manufacturing systems Oper. Res. 36 2 1988 258 268
    • (1988) Oper. Res. , vol.36 , Issue.2 , pp. 258-268
    • Heragu, S.S.1    Kusiak, A.2
  • 15
    • 0026416906 scopus 로고
    • Efficient models for the facility layout problem
    • S.S. Heragu, and A. Kusiak Efficient models for the facility layout problem European J. Oper. Res. 53 1991 1 13
    • (1991) European J. Oper. Res. , vol.53 , pp. 1-13
    • Heragu, S.S.1    Kusiak, A.2
  • 16
    • 0141603494 scopus 로고
    • Finite-state processes and dynamic programming
    • R.M. Karp, and M. Held Finite-state processes and dynamic programming SIAM J. Appl. Math. 15 1967 693 718
    • (1967) SIAM J. Appl. Math. , vol.15 , pp. 693-718
    • Karp, R.M.1    Held, M.2
  • 17
    • 0041844993 scopus 로고    scopus 로고
    • PENNON: A code for convex nonlinear and semidefinite programming
    • M. Kočvara, and M. Stingl PENNON: a code for convex nonlinear and semidefinite programming Optim. Methods Software 18 3 2003 317 333
    • (2003) Optim. Methods Software , vol.18 , Issue.3 , pp. 317-333
    • Kočvara, M.1    Stingl, M.2
  • 18
    • 25544433811 scopus 로고    scopus 로고
    • PENNON: A generalized augmented Lagrangian method for semidefinite programming
    • High Performance Algorithms and Software for Nonlinear Optimization (Erice, 2001) Kluwer Academic Publishers, Norwell, MA
    • M. Kočvara, M. Stingl, PENNON: a generalized augmented Lagrangian method for semidefinite programming, in: High Performance Algorithms and Software for Nonlinear Optimization (Erice, 2001), Applied Optimization, vol. 82, Kluwer Academic Publishers, Norwell, MA, 2003, pp. 303-321.
    • (2003) Applied Optimization , vol.82 , pp. 303-321
    • Kočvara, M.1    Stingl, M.2
  • 19
    • 0002384937 scopus 로고
    • Assignment problems and the location of economic activities
    • T.C. Koopmans, and M. Beckmann Assignment problems and the location of economic activities Econometrica 25 1957 53 76
    • (1957) Econometrica , vol.25 , pp. 53-76
    • Koopmans, T.C.1    Beckmann, M.2
  • 20
    • 0029471489 scopus 로고
    • A heuristic procedure for the single-row facility layout problem
    • K.R. Kumar, G.C. Hadjinicola, and T. Lin A heuristic procedure for the single-row facility layout problem European J. Oper. Res. 87 1 1995 65 73
    • (1995) European J. Oper. Res. , vol.87 , Issue.1 , pp. 65-73
    • Kumar, K.R.1    Hadjinicola, G.C.2    Lin, T.3
  • 21
    • 33746163319 scopus 로고    scopus 로고
    • Semidefinite programming and integer programming
    • G. Nemhauser, K. Aardal, R. Weismantel (Eds.) Elsevier, Amsterdam, to appear
    • M. Laurent, F. Rendl, Semidefinite programming and integer programming, in: G. Nemhauser, K. Aardal, R. Weismantel (Eds.), Handbook on Discrete Optimization, Elsevier, Amsterdam, to appear.
    • Handbook on Discrete Optimization
    • Laurent, M.1    Rendl, F.2
  • 22
    • 0347255691 scopus 로고
    • Generating lower bounds for the linear arrangement problem
    • W. Liu, and A. Vannelli Generating lower bounds for the linear arrangement problem Discrete Appl. Math. 59 2 1995 137 151
    • (1995) Discrete Appl. Math. , vol.59 , Issue.2 , pp. 137-151
    • Liu, W.1    Vannelli, A.2
  • 23
    • 0016969488 scopus 로고
    • On solving a one-dimensional space allocation problem with integer programming
    • R.F. Love, and J.Y. Wong On solving a one-dimensional space allocation problem with integer programming INFOR 14 2 1976 139 143
    • (1976) INFOR , vol.14 , Issue.2 , pp. 139-143
    • Love, R.F.1    Wong, J.Y.2
  • 24
    • 33749834100 scopus 로고    scopus 로고
    • The facility layout problem: Recent and emerging trends and perspectives
    • R.D. Meller, and K.-Y. Gau The facility layout problem: recent and emerging trends and perspectives J. Manufacturing Systems 15 5 1996 351 366
    • (1996) J. Manufacturing Systems , vol.15 , Issue.5 , pp. 351-366
    • Meller, R.D.1    Gau, K.-Y.2
  • 25
    • 1542337154 scopus 로고    scopus 로고
    • Exploiting sparsity in semidefinite programming via matrix completion, II: Implementation and numerical results
    • K. Nakata, K. Fujisawa, M. Fukuda, M. Kojima, and K. Murota Exploiting sparsity in semidefinite programming via matrix completion, II: implementation and numerical results Math. Programming 95 2003 303 327
    • (2003) Math. Programming , vol.95 , pp. 303-327
    • Nakata, K.1    Fujisawa, K.2    Fukuda, M.3    Kojima, M.4    Murota, K.5
  • 26
    • 0012543530 scopus 로고
    • On the one-dimensional space allocation problem
    • J.-C. Picard, and M. Queyranne On the one-dimensional space allocation problem Oper. Res. 29 2 1981 371 391
    • (1981) Oper. Res. , vol.29 , Issue.2 , pp. 371-391
    • Picard, J.-C.1    Queyranne, M.2
  • 27
    • 0342746850 scopus 로고
    • The linear ordering problem: Algorithms and applications
    • Heldermann Verlag, Berlin
    • G. Reinelt, The Linear Ordering Problem: Algorithms and Applications, Research and Exposition in Mathematics, vol. 8, Heldermann Verlag, Berlin, 1985.
    • (1985) Research and Exposition in Mathematics , vol.8
    • Reinelt, G.1
  • 28
    • 0025547159 scopus 로고
    • Methods for the one-dimensional space allocation problem
    • D. Romero, and A. Sánchez-Flores Methods for the one-dimensional space allocation problem Comput. Oper. Res. 17 5 1990 465 473
    • (1990) Comput. Oper. Res. , vol.17 , Issue.5 , pp. 465-473
    • Romero, D.1    Sánchez-Flores, A.2
  • 29
    • 0012491085 scopus 로고
    • One-dimensional space allocation: An ordering algorithm
    • D.M. Simmons One-dimensional space allocation: an ordering algorithm Oper. Res. 17 1969 812 826
    • (1969) Oper. Res. , vol.17 , pp. 812-826
    • Simmons, D.M.1
  • 30
    • 0033295027 scopus 로고    scopus 로고
    • SDPT3 - A MATLAB software package for semidefinite programming, version 1.3
    • K.C. Toh, M.J. Todd, and R.H. Tütüncü SDPT3 - a MATLAB software package for semidefinite programming, version 1.3 Optim. Methods Software 11/12 1-4 1999 545 581
    • (1999) Optim. Methods Software , vol.11-12 , Issue.1-4 , pp. 545-581
    • Toh, K.C.1    Todd, M.J.2    Tütüncü, R.H.3
  • 31
    • 9944243644 scopus 로고    scopus 로고
    • Solving semidefinite programs using preconditioned conjugate gradients
    • H. Wolkowicz Solving semidefinite programs using preconditioned conjugate gradients Optim. Methods Software 19 6 2004 653 672
    • (2004) Optim. Methods Software , vol.19 , Issue.6 , pp. 653-672
    • Wolkowicz, H.1


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