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Volumn 40, Issue 3, 1997, Pages 247-284

A Lagrangean relaxation scheme for structured linear programs with application to multicommodity network flows

Author keywords

Ergodic results; Lagrangean duality; Lagrangean heuristic methods; Linear minimum cost multicommodity network flow problem; Linear programming; Subgradient optimization

Indexed keywords


EID: 0038969576     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331939708844312     Document Type: Article
Times cited : (27)

References (35)
  • 4
    • 0010897714 scopus 로고
    • Decomposition, pricing for decentralization, and external economies
    • Baumol W. J. and Fabian, T. (1964) Decomposition, pricing for decentralization, and external economies, Management Science, 11, pp. 1-32.
    • (1964) Management Science , vol.11 , pp. 1-32
    • Baumol, W.J.1    Fabian, T.2
  • 6
    • 0017477973 scopus 로고
    • Location of bank accounts to optimize float: An analytic study of exact and approximate algorithms
    • Cornuejols, G., Fisher, M. L. and Nemhauser, G. L. (1977) Location of bank accounts to optimize float: An analytic study of exact and approximate algorithms, Management Science, 23, pp. 789-810.
    • (1977) Management Science , vol.23 , pp. 789-810
    • Cornuejols, G.1    Fisher, M.L.2    Nemhauser, G.L.3
  • 7
    • 0001391104 scopus 로고
    • Decomposition principle for linear programs
    • Dantzig, G. B. and Wolfe, P. (1960) Decomposition principle for linear programs, Operations Research, 8, pp. 101-111.
    • (1960) Operations Research , vol.8 , pp. 101-111
    • Dantzig, G.B.1    Wolfe, P.2
  • 8
    • 0000039065 scopus 로고
    • The decomposition algorithm for linear programs
    • Dantzig, G. B. and Wolfe, P. (1961) The decomposition algorithm for linear programs, Econometrica, 29, pp. 767-778.
    • (1961) Econometrica , vol.29 , pp. 767-778
    • Dantzig, G.B.1    Wolfe, P.2
  • 11
    • 0040943679 scopus 로고
    • Coercion functions and decentralized linear programming
    • Feinberg, B. (1989) Coercion functions and decentralized linear programming Mathematics of Operations Research, 14, pp. 177-187.
    • (1989) Mathematics of Operations Research , vol.14 , pp. 177-187
    • Feinberg, B.1
  • 12
    • 0019477279 scopus 로고
    • The Lagrangean relaxation method for solving integer programming problems
    • Fisher, M. L. (1981) The Lagrangean relaxation method for solving integer programming problems, Management Science, 27, pp. 1-18.
    • (1981) Management Science , vol.27 , pp. 1-18
    • Fisher, M.L.1
  • 13
    • 0022031091 scopus 로고
    • An applications oriented guide to Lagrangean relaxation
    • Fisher, M. L. (1985) An applications oriented guide to Lagrangean relaxation, Interfaces, 15, pp. 10-21.
    • (1985) Interfaces , vol.15 , pp. 10-21
    • Fisher, M.L.1
  • 14
    • 0002554041 scopus 로고
    • Lagrangian relaxation for integer programming
    • Geoffrion, A. M. (1974) Lagrangian relaxation for integer programming, Mathematical Programming Study, 2, pp. 82-114.
    • (1974) Mathematical Programming Study , vol.2 , pp. 82-114
    • Geoffrion, A.M.1
  • 15
    • 0020100192 scopus 로고
    • Using Lagrangian techniques to solve hierarchical production planning problems
    • Graves, S. C. (1982) Using Lagrangian techniques to solve hierarchical production planning problems, Management Science, 28, pp. 260-275.
    • (1982) Management Science , vol.28 , pp. 260-275
    • Graves, S.C.1
  • 16
    • 0007862034 scopus 로고
    • A partitioning algorithm for the multicommodity network flow problem
    • Grigoriadis, M. D. and White, W. W. (1972) A partitioning algorithm for the multicommodity network flow problem, Mathematical Programming, 3, pp. 157-177.
    • (1972) Mathematical Programming , vol.3 , pp. 157-177
    • Grigoriadis, M.D.1    White, W.W.2
  • 17
    • 0024016942 scopus 로고
    • A decomposition method based on the augmented Lagrangian
    • Gunn, E. A., Thorburn, M. and Rai, A. K. (1988) A decomposition method based on the augmented Lagrangian, INFOR, 26, pp. 91-113.
    • (1988) INFOR , vol.26 , pp. 91-113
    • Gunn, E.A.1    Thorburn, M.2    Rai, A.K.3
  • 19
    • 0009716051 scopus 로고
    • Decentralization on the basis of price schedules in linear decomposable resource allocation problems
    • Jennergren, L. P. (1972) Decentralization on the basis of price schedules in linear decomposable resource allocation problems, Journal of Financial and Quantitative Analysis, 7, pp. 1407-1417.
    • (1972) Journal of Financial and Quantitative Analysis , vol.7 , pp. 1407-1417
    • Jennergren, L.P.1
  • 20
    • 0000920604 scopus 로고
    • A price schedules decomposition algorithm for linear programming problems
    • Jennergren, L. P. (1973) A price schedules decomposition algorithm for linear programming problems, Econometrica, 41, pp. 965-979.
    • (1973) Econometrica , vol.41 , pp. 965-979
    • Jennergren, L.P.1
  • 21
    • 0017946121 scopus 로고
    • A survey of linear cost multicommodity network flows
    • Kennington, J. L. (1978) A survey of linear cost multicommodity network flows, Operations Research, 26, pp. 209-236.
    • (1978) Operations Research , vol.26 , pp. 209-236
    • Kennington, J.L.1
  • 23
    • 0017495556 scopus 로고
    • An effective subgradient procedure for minimal cost multicommodity flow problems
    • Kennington, J. L. and Shalaby, M. (1977) An effective subgradient procedure for minimal cost multicommodity flow problems, Management Science, 23, pp. 994-1004.
    • (1977) Management Science , vol.23 , pp. 994-1004
    • Kennington, J.L.1    Shalaby, M.2
  • 24
    • 0040943685 scopus 로고
    • Two level planning
    • Kornai, J. and Lipták, T. (1965) Two level planning, Econometrica, 33, pp. 141-169.
    • (1965) Econometrica , vol.33 , pp. 141-169
    • Kornai, J.1    Lipták, T.2
  • 27
  • 31
    • 0024753940 scopus 로고
    • An augmented Lagrangean decomposition method for block diagonal linear programming problems
    • Ruszczynski, A. (1989) An augmented Lagrangean decomposition method for block diagonal linear programming problems. Operations Research Letters, 8, pp. 287-294.
    • (1989) Operations Research Letters , vol.8 , pp. 287-294
    • Ruszczynski, A.1
  • 32
    • 0020722505 scopus 로고
    • Advanced start for the multicommodity network flow problem
    • Saviozzi, G. (1986) Advanced start for the multicommodity network flow problem. Mathematical Programming Study, 26, pp. 221-224.
    • (1986) Mathematical Programming Study , vol.26 , pp. 221-224
    • Saviozzi, G.1
  • 33
    • 0003995427 scopus 로고
    • Translated from the Russian by K.C. Kiwiel and A. Ruzyczyński. Springer-Verlag, Berlin
    • Shor, N. Z. (1985) Minimization Methods for Non-Differentiable Functions. Translated from the Russian by K.C. Kiwiel and A. Ruzyczyński. Springer-Verlag, Berlin.
    • (1985) Minimization Methods for Non-differentiable Functions
    • Shor, N.Z.1
  • 34
    • 0002030158 scopus 로고
    • Minimum cost multicommodity network flows
    • Tomlin, J. A. (1966) Minimum cost multicommodity network flows, Operations Research, 14, pp. 45-51.
    • (1966) Operations Research , vol.14 , pp. 45-51
    • Tomlin, J.A.1
  • 35
    • 0015204039 scopus 로고
    • Multicommodity network with resource constraints: The generalized multicommodity flow problem
    • Wollmer, R. D. (1972) Multicommodity network with resource constraints: the generalized multicommodity flow problem, Networks, 1, pp. 245-263.
    • (1972) Networks , vol.1 , pp. 245-263
    • Wollmer, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.