메뉴 건너뛰기




Volumn 21, Issue 3, 2006, Pages 401-417

Mean value cross decomposition for nonlinear convex problems

Author keywords

Decomposition methods; Large scale nonlinear programming; Mathematical programming

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; OPTIMIZATION; PROBLEM SOLVING;

EID: 30944451402     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780500098565     Document Type: Article
Times cited : (17)

References (23)
  • 1
    • 0027116020 scopus 로고
    • Linear MVC decomposition: A generalization of the Kornai-Liptak method
    • Holmberg, K., 1992, Linear MVC decomposition: A generalization of the Kornai-Liptak method. European Journal of Operational Research, 62, 55-73.
    • (1992) European Journal of Operational Research , vol.62 , pp. 55-73
    • Holmberg, K.1
  • 2
    • 0038995948 scopus 로고
    • A convergence proof for linear MVC decomposition
    • Holmberg, K., 1994, A convergence proof for linear MVC decomposition. Zeitschrift für Operations Research, 39, 157-186.
    • (1994) Zeitschrift für Operations Research , vol.39 , pp. 157-186
    • Holmberg, K.1
  • 3
    • 0040180101 scopus 로고
    • Some notes on computation of games solutions
    • The RAND Corporation
    • Brown, G.W., 1949, Some notes on computation of games solutions. Technical Report RAND Report P-78, The RAND Corporation.
    • (1949) Technical Report RAND Report , vol.P-78
    • Brown, G.W.1
  • 4
    • 0001402950 scopus 로고
    • An iterative method of solving a game
    • Robinson, J., 1951, An iterative method of solving a game. Annals of Mathematics, 54, 296-301.
    • (1951) Annals of Mathematics , vol.54 , pp. 296-301
    • Robinson, J.1
  • 5
    • 0040943685 scopus 로고
    • Two-level planning
    • Kornai, J. and Liptak, T., 1965, Two-level planning. Econometrica, 33, 141-169.
    • (1965) Econometrica , vol.33 , pp. 141-169
    • Kornai, J.1    Liptak, T.2
  • 6
    • 0031075080 scopus 로고    scopus 로고
    • MVC decomposition applied to integer programming problems
    • Holmberg, K., 1997, MVC decomposition applied to integer programming problems. European Journal of Operational Research, 97, 124-138.
    • (1997) European Journal of Operational Research , vol.97 , pp. 124-138
    • Holmberg, K.1
  • 7
    • 0029394212 scopus 로고
    • Efficient decomposition and linearization methods for the stochastic transportation problem
    • Holmberg, K., 1995, Efficient decomposition and linearization methods for the stochastic transportation problem. Computational Optimization and Applications, 4, 293-316.
    • (1995) Computational Optimization and Applications , vol.4 , pp. 293-316
    • Holmberg, K.1
  • 8
    • 0030215054 scopus 로고    scopus 로고
    • Solving the generalized knapsack problem with variable coefficients
    • Holmberg, K. and Jörnsten, K., 1996, Solving the generalized knapsack problem with variable coefficients. Naval Research Logistics, 43, 673-689.
    • (1996) Naval Research Logistics , vol.43 , pp. 673-689
    • Holmberg, K.1    Jörnsten, K.2
  • 9
    • 30944461603 scopus 로고
    • Nonlinear MVC decomposition: The strictly convex case
    • Division of Optimization, Department of Mathematics, Linköping Institute of Technology, Sweden
    • Holmberg, K., 1991, Nonlinear MVC decomposition: The strictly convex case, Working Paper LiTH-MAT/OPT-WP-1991-15, Division of Optimization, Department of Mathematics, Linköping Institute of Technology, Sweden.
    • (1991) Working Paper , vol.LITH-MAT-OPT-WP-1991-15
    • Holmberg, K.1
  • 10
    • 30944454309 scopus 로고
    • Convergence proof for MVC decomposition applied to convex problems
    • Decision Science Group, London Business School, England
    • Vlahos, K., 1991, Convergence proof for MVC decomposition applied to convex problems. Research paper, Decision Science Group, London Business School, England.
    • (1991) Research Paper
    • Vlahos, K.1
  • 11
    • 0020588728 scopus 로고
    • Cross decomposition for mixed integer programming
    • Van Roy, T.J., 1983, Cross decomposition for mixed integer programming. Mathematical Programming, 25, 46-63.
    • (1983) Mathematical Programming , vol.25 , pp. 46-63
    • Van Roy, T.J.1
  • 12
    • 0002554041 scopus 로고
    • Lagrangean relaxation for integer programming
    • Geoffrion, A.M., 1974, Lagrangean relaxation for integer programming. Mathematical Programming Study, 2, 82-114.
    • (1974) Mathematical Programming Study , vol.2 , pp. 82-114
    • Geoffrion, A.M.1
  • 14
    • 0004267646 scopus 로고
    • Princeton, New Jersey: Princeton University Press
    • Rockafellar, R.T., 1970, Convex Analysis (Princeton, New Jersey: Princeton University Press).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 17
    • 0017500740 scopus 로고
    • Stochastic transportation problems and other network related convex problems
    • Cooper, L. and LeBlanc, L.J., 1977, Stochastic transportation problems and other network related convex problems. Naval Research Logistics Quarterly, 24, 327-336.
    • (1977) Naval Research Logistics Quarterly , vol.24 , pp. 327-336
    • Cooper, L.1    Leblanc, L.J.2
  • 18
    • 0017417868 scopus 로고
    • A heuristic approach for large scale discrete stochastic transportation-location problems
    • LeBlanc, L.J., 1977, A heuristic approach for large scale discrete stochastic transportation-location problems. Computers and Mathematics with Applications, 3, 87-94.
    • (1977) Computers and Mathematics with Applications , vol.3 , pp. 87-94
    • Leblanc, L.J.1
  • 19
    • 0346129939 scopus 로고    scopus 로고
    • A production-transportation problem with stochastic demand and concave production costs
    • Holmberg, K. and Tuy, H., 1999, A production-transportation problem with stochastic demand and concave production costs. Mathematical Programming, 85, 157-179.
    • (1999) Mathematical Programming , vol.85 , pp. 157-179
    • Holmberg, K.1    Tuy, H.2
  • 23
    • 26444505026 scopus 로고    scopus 로고
    • Experiments with primal-dual decomposition methods and subgradient methods for the uncapacitated facility location problem
    • Holmberg, K., 2001, Experiments with primal-dual decomposition methods and subgradient methods for the uncapacitated facility location problem. Optimization, 49, 495-516.
    • (2001) Optimization , vol.49 , pp. 495-516
    • Holmberg, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.