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Volumn 140, Issue 1, 2005, Pages 375-410

Non delayed relax-and-cut algorithms

Author keywords

Dual bound strengthening; Lagrangian relaxation; Relax and cut; Valid constraints

Indexed keywords


EID: 28244456460     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1007/s10479-005-3977-1     Document Type: Article
Times cited : (33)

References (50)
  • 1
    • 0019585395 scopus 로고
    • A restricted lagrangian approach to the traveling salesman problem
    • Balas, E. and N. Christofides. (1981). "A Restricted Lagrangian Approach to the Traveling Salesman Problem." Mathematical Programming 21, 19-46.
    • (1981) Mathematical Programming , vol.21 , pp. 19-46
    • Balas, E.1    Christofides, N.2
  • 2
    • 0013152010 scopus 로고    scopus 로고
    • The volume algorithm: Producing primal solutions with the subgradient method
    • Barahona, F. and R. Anbil. (2000). "The Volume Algorithm: Producing Primal Solutions with the Subgradient Method." Mathematical Programming 87, 385-399.
    • (2000) Mathematical Programming , vol.87 , pp. 385-399
    • Barahona, F.1    Anbil, R.2
  • 3
    • 0012484821 scopus 로고    scopus 로고
    • Branch and cut based on the volume algorithm: Steiner trees in graphs and max-cut
    • IBM Watson Research Center
    • Barahona, F. and L. Ladányi. (2001). "Branch and Cut Based on the Volume Algorithm: Steiner Trees in Graphs and Max-Cut." Technical report, IBM Watson Research Center.
    • (2001) Technical Report
    • Barahona, F.1    Ladányi, L.2
  • 4
    • 84987012291 scopus 로고
    • An sst-based algorithm for the steiner problem in graphs
    • Beasley, J.E. (1989). "An sst-Based Algorithm for the Steiner Problem in Graphs." Networks 19, 1-16.
    • (1989) Networks , vol.19 , pp. 1-16
    • Beasley, J.E.1
  • 5
    • 0003359547 scopus 로고
    • Lagrangean relaxation
    • Collin Reeves (ed.), Oxford: Blackwell Scientific Press
    • Beasley, I.E. (1993). "Lagrangean Relaxation." In Collin Reeves (ed.), Modern Heuristics, Oxford: Blackwell Scientific Press.
    • (1993) Modern Heuristics
    • Beasley, I.E.1
  • 7
    • 33947707305 scopus 로고    scopus 로고
    • A lagrangian heuristic for the linear ordering problem
    • M.G.C. Resende and J.P. deSousa (eds.), Kluwer Academic
    • Belloni, A. and A. Lucena. (2004). "A Lagrangian Heuristic for the Linear Ordering Problem," In M.G.C. Resende and J.P. deSousa (eds.), Metaheuristics: Computer Decision-Making, Kluwer Academic.
    • (2004) Metaheuristics: Computer Decision-making
    • Belloni, A.1    Lucena, A.2
  • 10
  • 11
    • 0035286016 scopus 로고    scopus 로고
    • A branch and cut method for the degree-constrained minimum spanning tree problem
    • Caccetta, L. and S.P. Hill. (2001). "A Branch and Cut Method for the Degree-Constrained Minimum Spanning Tree Problem." Networks 37(2), 74-83.
    • (2001) Networks , vol.37 , Issue.2 , pp. 74-83
    • Caccetta, L.1    Hill, S.P.2
  • 12
    • 34249770791 scopus 로고
    • The steiner tree problem i: Formulations, compositions and extensions of facets
    • Chopra, S. and M.R. Rao. (1994). "The Steiner Tree Problem i: Formulations, Compositions and Extensions of Facets." Mathematical Programming 64, 209-229.
    • (1994) Mathematical Programming , vol.64 , pp. 209-229
    • Chopra, S.1    Rao, M.R.2
  • 13
    • 28244437275 scopus 로고    scopus 로고
    • Lower and upper bounds for the degree-constrained minimum spanning tree problem
    • Lisbon
    • DaCunha, A.S. and A. Lucena. (2005). "Lower and Upper Bounds for the Degree-Constrained Minimum Spanning Tree Problem." In INOC 2005, Lisbon.
    • (2005) INOC 2005
    • DaCunha, A.S.1    Lucena, A.2
  • 14
  • 15
    • 84873004933 scopus 로고    scopus 로고
    • Master's Thesis, Programa de Engenharia de Sistemas e Computação, COPPE, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brasil
    • DaSilva, J.B.C. (2002). "Uma Heuristica Lagrangeana Para o Problema da Árvore Capacitada de Custo Mínimo." Master's Thesis, Programa de Engenharia de Sistemas e Computação, COPPE, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brasil.
    • (2002) Uma Heuristica Lagrangeana Para O Problema da Árvore Capacitada de Custo Mínimo
    • DaSilva, J.B.C.1
  • 18
    • 27744567233 scopus 로고
    • Matroids and the greedy algorithm
    • Edmonds, J. (1971). "Matroids and the Greedy Algorithm." Mathematical Programming 1, 127-136.
    • (1971) Mathematical Programming , vol.1 , pp. 127-136
    • Edmonds, J.1
  • 19
    • 21844516629 scopus 로고
    • A lagrangian relax and cut approach for the sequential ordering with precedence constraints
    • Escudero, L., M. Guignard, and K. Malik. (1994). "A Lagrangian Relax and Cut Approach for the Sequential Ordering with Precedence Constraints." Annals of Operations Research 50, 219-237.
    • (1994) Annals of Operations Research , vol.50 , pp. 219-237
    • Escudero, L.1    Guignard, M.2    Malik, K.3
  • 20
    • 0019477279 scopus 로고
    • The lagrangian relaxation method for solving integer programming problems
    • Fisher, M.L. (1981). "The Lagrangian Relaxation Method for Solving Integer Programming Problems." Management Science 27, 1-18.
    • (1981) Management Science , vol.27 , pp. 1-18
    • Fisher, M.L.1
  • 22
    • 0022187587 scopus 로고
    • Augmented lagrangean based algorithms for centralized network design
    • Gavish, B. (1985). "Augmented Lagrangean Based Algorithms for Centralized Network Design." IEEE Transactions on Communications 33, 1247-1257.
    • (1985) IEEE Transactions on Communications , vol.33 , pp. 1247-1257
    • Gavish, B.1
  • 23
    • 0028199456 scopus 로고
    • The steiner tree polytope and related polyhedra
    • Goemans, M.X. (1994). "The Steiner Tree Polytope and Related Polyhedra." Mathematical Programming 63(2), 157-182.
    • (1994) Mathematical Programming , vol.63 , Issue.2 , pp. 157-182
    • Goemans, M.X.1
  • 24
    • 0024090156 scopus 로고
    • A new approach to the maximum flow problem
    • Goldberg, A.V. and R.E. Tarjan. (1988) "A New Approach to the Maximum Flow Problem." Journal of ACM 35, 921-940.
    • (1988) Journal of ACM , vol.35 , pp. 921-940
    • Goldberg, A.V.1    Tarjan, R.E.2
  • 25
    • 0002707458 scopus 로고
    • An algorithm for integer solutions to linear programs
    • R. Graves and P. Wolfe (eds.), New York: McGraw-Hill
    • Gomory, R.E. (1963). "An Algorithm for Integer Solutions to Linear Programs," In R. Graves and P. Wolfe (eds.), Recent Advances in Mathematical Programming, New York: McGraw-Hill.
    • (1963) Recent Advances in Mathematical Programming
    • Gomory, R.E.1
  • 26
    • 52449148785 scopus 로고    scopus 로고
    • Lagrangean relaxation
    • Guignard, M. (2004). "Lagrangean Relaxation." TOP 11(2), 151-199.
    • (2004) TOP , vol.11 , Issue.2 , pp. 151-199
    • Guignard, M.1
  • 28
    • 0035341802 scopus 로고    scopus 로고
    • A lagrangian relaxation approach to the edge-weighted clique problem
    • Hunting, M., U. Faigle, and W. Kern. (2001). "A lagrangian Relaxation Approach to the Edge-Weighted Clique Problem." European Journal of Operational Research 131(1), 119-131.
    • (2001) European Journal of Operational Research , vol.131 , Issue.1 , pp. 119-131
    • Hunting, M.1    Faigle, U.2    Kern, W.3
  • 29
    • 84863090748 scopus 로고
    • Steiner tree problems
    • Hwang, F.K. and D.S. Richards. (1992). "Steiner Tree Problems." Networks 22, 55-89.
    • (1992) Networks , vol.22 , pp. 55-89
    • Hwang, F.K.1    Richards, D.S.2
  • 30
    • 28244453366 scopus 로고    scopus 로고
    • ILOG, Inc. CPLEX Division
    • CPLEX. (1999). ILOG, Inc. CPLEX Division.
    • (1999) CPLEX
  • 31
    • 70350674995 scopus 로고
    • On the shortest spanning subtree of a graph and the traveling salesman problem
    • Kruskal, J.B. (1956). "On the Shortest Spanning Subtree of a Graph and the Traveling Salesman Problem." Proceedings of the American Mathematical Society 7, 48-50.
    • (1956) Proceedings of the American Mathematical Society , vol.7 , pp. 48-50
    • Kruskal, J.B.1
  • 34
    • 0040604764 scopus 로고
    • Steiner problem in graphs: Lagrangean relaxation and cutting planes
    • Lucena, A. (1992). "Steiner Problem in Graphs: Lagrangean Relaxation and Cutting Planes." COAL Bulletin 21, 2-8.
    • (1992) COAL Bulletin , vol.21 , pp. 2-8
    • Lucena, A.1
  • 35
    • 28244495157 scopus 로고
    • Steiner problem in graphs: Lagrangean relaxation and cutting planes
    • G. Gallo and F. Malucelli (eds.)
    • Lucena, A. (1993). "Steiner Problem in Graphs: Lagrangean Relaxation and Cutting Planes." In G. Gallo and F. Malucelli (eds.), Proceedings of NETFLOW93, pp. 147-154.
    • (1993) Proceedings of NETFLOW93 , pp. 147-154
    • Lucena, A.1
  • 36
    • 0040585116 scopus 로고    scopus 로고
    • A branch and cut algorithm for the steiner problem in graphs
    • Lucena, A. and J.E. Beasley. (1998). "A Branch and Cut Algorithm for the Steiner Problem in Graphs." Networks 31, 39-59.
    • (1998) Networks , vol.31 , pp. 39-59
    • Lucena, A.1    Beasley, J.E.2
  • 40
    • 84974861933 scopus 로고
    • A strong cutting plane branch-and-bound algorithm for node packing
    • Nemhauser, G.L. and G. Sigismondi. (1992). "A Strong Cutting Plane Branch-and-Bound Algorithm for Node Packing." Journal of the Operational Research Society 43(5), 443-457.
    • (1992) Journal of the Operational Research Society , vol.43 , Issue.5 , pp. 443-457
    • Nemhauser, G.L.1    Sigismondi, G.2
  • 41
    • 0026124209 scopus 로고
    • A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems
    • Padberg, M. and G. Rinaldi. (1991). "A Branch-and-Cut Algorithm for the Resolution of Large-Scale Symmetric Traveling Salesman Problems." SIAM Review 33, 60-100.
    • (1991) SIAM Review , vol.33 , pp. 60-100
    • Padberg, M.1    Rinaldi, G.2
  • 42
    • 84873017907 scopus 로고    scopus 로고
    • A relax and cut algorithm for the quadratic knapsack problem
    • Departamento de Administração, Universidade Federal do Rio de Janeiro
    • Palmeira, M.M., A. Lucena, and O. Porto. (1999). "A Relax and Cut Algorithm for the Quadratic Knapsack Problem." Technical report, Departamento de Administração, Universidade Federal do Rio de Janeiro.
    • (1999) Technical Report
    • Palmeira, M.M.1    Lucena, A.2    Porto, O.3
  • 43
    • 84911584312 scopus 로고
    • Shortest connection networks and some generalizations
    • Prim, R.C. (1957). "Shortest Connection Networks and Some Generalizations." Bell System Technical Journal 36(6), 1389-1401.
    • (1957) Bell System Technical Journal , vol.36 , Issue.6 , pp. 1389-1401
    • Prim, R.C.1
  • 44
    • 28244469113 scopus 로고    scopus 로고
    • Decomposition and dynamic cut generation in integer linear programming
    • to appear
    • Ralphs, T.K. and M.V. Galati. (2005). "Decomposition and Dynamic Cut Generation in Integer Linear Programming." Mathematical Programming to appear.
    • (2005) Mathematical Programming
    • Ralphs, T.K.1    Galati, M.V.2
  • 46
    • 0012249826 scopus 로고    scopus 로고
    • A hybrid grasp with perturbations for the steiner problem in graphs
    • Ribeiro, C.C., E. Uchoa, and R.F. Werneck. (2002). "A Hybrid Grasp with Perturbations for the Steiner Problem in Graphs." INFORMS Journal on Computing 14(3), 228-246.
    • (2002) INFORMS Journal on Computing , vol.14 , Issue.3 , pp. 228-246
    • Ribeiro, C.C.1    Uchoa, E.2    Werneck, R.F.3
  • 47
    • 0021818903 scopus 로고
    • Edge exchanges in the degree constrained minimum spanning tree problem
    • Savelsbergh, M. and A. Volgenant. (1985). "Edge Exchanges in the Degree Constrained Minimum Spanning Tree Problem." Computers and Operations Research 12(4), 341-348.
    • (1985) Computers and Operations Research , vol.12 , Issue.4 , pp. 341-348
    • Savelsbergh, M.1    Volgenant, A.2
  • 48
    • 0000133156 scopus 로고
    • An approximate solution for the steiner problem in graphs
    • Takahashi, H. and A. Matsuyama. (1980). "An Approximate Solution for the Steiner Problem in Graphs." Mathematica Japonica 6, 573-577.
    • (1980) Mathematica Japonica , vol.6 , pp. 573-577
    • Takahashi, H.1    Matsuyama, A.2
  • 49
    • 84987034438 scopus 로고
    • Steiner problems in networks: A survey
    • Winter, P. (1987). "Steiner problems in networks: A survey." Networks 17, 129-167.
    • (1987) Networks , vol.17 , pp. 129-167
    • Winter, P.1


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