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Volumn 121, Issue 3, 2000, Pages 609-626

Solving linear programming relaxations associated with Lagrangean relaxations by Fenchel cutting planes

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONSTRAINT THEORY; GRAPH THEORY; INTEGER PROGRAMMING; LAGRANGE MULTIPLIERS; SET THEORY;

EID: 0342298588     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(99)00056-9     Document Type: Article
Times cited : (5)

References (36)
  • 3
    • 0042625999 scopus 로고    scopus 로고
    • Incorporating facet-inducing inequalities into graphical-construct-based Lagrangian relaxations methodologies
    • Ali A.I., Shmerling S. Incorporating facet-inducing inequalities into graphical-construct-based Lagrangian relaxations methodologies. Operations Research Letters. 18:1996;177-184.
    • (1996) Operations Research Letters , vol.18 , pp. 177-184
    • Ali, A.I.1    Shmerling, S.2
  • 4
    • 0037870067 scopus 로고    scopus 로고
    • Mixed 0-1 programming by lift-and-project in a branch-and-cut framework
    • Balas E., Ceria S., Cornuéjols G. Mixed 0-1 programming by lift-and-project in a branch-and-cut framework. Management Science. 42:1996;1229-1246.
    • (1996) Management Science , vol.42 , pp. 1229-1246
    • Balas, E.1    Ceria, S.2    Cornuéjols, G.3
  • 5
    • 0003359547 scopus 로고
    • Lagrangean Relaxation
    • in: C.R. Reeves (Ed.), Blackwell Scientific Publications, Oxford
    • J.E. Beasley, Lagrangean Relaxation, in: C.R. Reeves (Ed.), Modern Heuristic Techniques for Combinatorial Problems, Blackwell Scientific Publications, Oxford, 1993, pp. 243-298.
    • (1993) Modern Heuristic Techniques for Combinatorial Problems , pp. 243-298
    • Beasley, J.E.1
  • 6
    • 0004912313 scopus 로고
    • MIPLIB: A test set of mixed integer programming problems
    • Bixby R.E., Boyd E.A., Indovina R. MIPLIB: A test set of mixed integer programming problems. SIAM News. 25:1992;16.
    • (1992) SIAM News , vol.25 , pp. 16
    • Bixby, R.E.1    Boyd, E.A.2    Indovina, R.3
  • 8
    • 0041450891 scopus 로고
    • Generating fenchel cutting planes for knapsack polyhedra
    • Boyd E.A. Generating fenchel cutting planes for knapsack polyhedra. SIAM Journal of Optimization. 3:1993;734-750.
    • (1993) SIAM Journal of Optimization , vol.3 , pp. 734-750
    • Boyd, E.A.1
  • 10
    • 0002340386 scopus 로고
    • Fenchel cutting planes for integer programming
    • Boyd E.A. Fenchel cutting planes for integer programming. Operations Research. 42:1994;53-64.
    • (1994) Operations Research , vol.42 , pp. 53-64
    • Boyd, E.A.1
  • 11
    • 0042953961 scopus 로고
    • On the convergence of Fenchel cutting planes in mixed-integer programming
    • Boyd E.A. On the convergence of Fenchel cutting planes in mixed-integer programming. SIAM Journal of Optimization. 5:1995;421-435.
    • (1995) SIAM Journal of Optimization , vol.5 , pp. 421-435
    • Boyd, E.A.1
  • 13
    • 0020815626 scopus 로고
    • Solving large-scale zero-one linear programming problems
    • Crowder H., Johnson E.L., Padberg M.W. Solving large-scale zero-one linear programming problems. Operations Research. 31:1983;803-834.
    • (1983) Operations Research , vol.31 , pp. 803-834
    • Crowder, H.1    Johnson, E.L.2    Padberg, M.W.3
  • 14
    • 0019477279 scopus 로고
    • The Lagrangian relaxation method for solving integer programming problems
    • Fisher M.L. The Lagrangian relaxation method for solving integer programming problems. Management Science. 27:1981;1-18.
    • (1981) Management Science , vol.27 , pp. 1-18
    • Fisher, M.L.1
  • 15
    • 0022031091 scopus 로고
    • An application oriented guide to Lagrangian relaxation
    • Fisher M.L. An application oriented guide to Lagrangian relaxation. Interfaces. 12:1985;10-21.
    • (1985) Interfaces , vol.12 , pp. 10-21
    • Fisher, M.L.1
  • 16
    • 0002554041 scopus 로고
    • Lagrangian relaxation and its uses in integer programming
    • Geoffrion A.M. Lagrangian relaxation and its uses in integer programming. Mathematical Programming Study. 2:1974;82-114.
    • (1974) Mathematical Programming Study , vol.2 , pp. 82-114
    • Geoffrion, A.M.1
  • 18
    • 0031219862 scopus 로고    scopus 로고
    • Generating cuts from surrogate constraint analysis for zero-one and multiple choice programming
    • Glover F., Sherali H.D., Lee Y. Generating cuts from surrogate constraint analysis for zero-one and multiple choice programming. Computational Optimization and Applications. 8:1997;151-172.
    • (1997) Computational Optimization and Applications , vol.8 , pp. 151-172
    • Glover, F.1    Sherali, H.D.2    Lee, Y.3
  • 19
    • 0032002578 scopus 로고    scopus 로고
    • Efficient cuts in Lagrangean relax-and-cut schemes
    • Guignard M. Efficient cuts in Lagrangean relax-and-cut schemes. European Journal of Operational Research. 105:1998;216-223.
    • (1998) European Journal of Operational Research , vol.105 , pp. 216-223
    • Guignard, M.1
  • 20
    • 0023451776 scopus 로고
    • Lagrangean decomposition: A model yielding stronger Lagrangean bounds
    • Guignard M., Kim S. Lagrangean decomposition: A model yielding stronger Lagrangean bounds. Mathematical Programming. 39:1987;215-228.
    • (1987) Mathematical Programming , vol.39 , pp. 215-228
    • Guignard, M.1    Kim, S.2
  • 21
    • 0002753134 scopus 로고
    • Polyhedral theory
    • in: E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, D.B. Shmoys (Eds.), Wiley, New York
    • M. Grötschel, M.W. Padberg, Polyhedral theory, in: E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, D.B. Shmoys (Eds.), The Traveling Salesman Problem, Wiley, New York, 1985.
    • (1985) The Traveling Salesman Problem
    • Grötschel, M.1    Padberg, M.W.2
  • 24
    • 0024051178 scopus 로고
    • Using surrogate constraints in a Lagrangian relaxation approach to set-covering problems
    • John C.G., Kochenberger G.A. Using surrogate constraints in a Lagrangian relaxation approach to set-covering problems. Journal of the Operational Research Society. 39:1988;681-685.
    • (1988) Journal of the Operational Research Society , vol.39 , pp. 681-685
    • John, C.G.1    Kochenberger, G.A.2
  • 26
    • 0003256347 scopus 로고    scopus 로고
    • Integer Programming
    • in: M. Avriel, B. Golany (Eds.), cap. 3, Marcel Dekker, New York
    • T.M. Magee, F. Glover, Integer Programming, in: M. Avriel, B. Golany (Eds.), Mathematical Programming for Industrial Engineers, cap. 3, Marcel Dekker, New York, 1996, pp. 123-269.
    • (1996) Mathematical Programming for Industrial Engineers , pp. 123-269
    • Magee, T.M.1    Glover, F.2
  • 32
    • 0008144821 scopus 로고
    • Generalized Lagrange multipliers in integer programming
    • Shapiro J.F. Generalized Lagrange multipliers in integer programming. Operations Research. 19:1971;68-76.
    • (1971) Operations Research , vol.19 , pp. 68-76
    • Shapiro, J.F.1
  • 33
    • 0000834192 scopus 로고
    • A survey of Lagrangean techniques for discrete optimization
    • Shapiro J.F. A survey of Lagrangean techniques for discrete optimization. Annals of Discrete Mathematics. 5:1979;113-138.
    • (1979) Annals of Discrete Mathematics , vol.5 , pp. 113-138
    • Shapiro, J.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.