메뉴 건너뛰기




Volumn 91, Issue 2, 2002, Pages 391-397

On the rank of mixed 0,1 polyhedra

Author keywords

Disjunctive cut; Mixed 0,1 program; Mixed integer cut; Rank; Split cut

Indexed keywords

INTEGER PROGRAMMING; NUMERICAL METHODS;

EID: 4243301673     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070100250     Document Type: Article
Times cited : (37)

References (16)
  • 1
    • 0000221959 scopus 로고
    • Disjunctive programming: Cutting planes from logical conditions
    • Mangasarian, O.L. et al. (eds.) Academic Press, New York
    • Balas, E. (1975): Disjunctive programming: cutting planes from logical conditions. In: Mangasarian, O.L. et al. (eds.) Nonlinear Programming. Vol.2. Academic Press, New York, pp. 279-312
    • (1975) Nonlinear Programming. , vol.2 , pp. 279-312
    • Balas, E.1
  • 2
    • 77957040455 scopus 로고
    • Disjunctive programming
    • Balas, E. (1979): Disjunctive programming. Ann. Discrete Math. 5, 3-51
    • (1979) Ann. Discrete Math. , vol.5 , pp. 3-51
    • Balas, E.1
  • 3
    • 0000185277 scopus 로고
    • A lift-and-project cutting plane algorithm for mixed 0-1 programs
    • Balas, E., Ceria, S., Cornuéjols, G. (1993): A lift-and-project cutting plane algorithm for mixed 0-1 programs. Math. Program. 58, 295-324
    • (1993) Math. Program. , vol.58 , pp. 295-324
    • Balas, E.1    Ceria, S.2    Cornuéjols, G.3
  • 4
    • 33751015585 scopus 로고    scopus 로고
    • A Precise correspondence between lift-and-project cuts, simple disjunctive cuts and mixed integer Gomory cuts for 0-1 programming
    • Carnegie Mellon University
    • Balas, E., Perregaard, M. (2000): A Precise correspondence between lift-and-project cuts, simple disjunctive cuts and mixed integer Gomory cuts for 0-1 programming. Management Science Research Report MSRR-631, Carnegie Mellon University
    • (2000) Management Science Research Report , vol.MSRR-631
    • Balas, E.1    Perregaard, M.2
  • 5
    • 0000971541 scopus 로고
    • Edmonds polytopes and a hierarchy of combinatorial optimization
    • Chvátal, V. (1973): Edmonds polytopes and a hierarchy of combinatorial optimization. Discrete Math. 4, 305-337
    • (1973) Discrete Math. , vol.4 , pp. 305-337
    • Chvátal, V.1
  • 6
    • 0007679136 scopus 로고
    • On cutting-plane proofs in combinatorial optimization
    • Chvátal, V., Cook, W., Hartmann, M. (1989): On cutting-plane proofs in combinatorial optimization. Linear Algebra Appl. 114/115, 455-199
    • (1989) Linear Algebra Appl. , vol.114-115 , pp. 455-1199
    • Chvátal, V.1    Cook, W.2    Hartmann, M.3
  • 8
    • 0035261799 scopus 로고    scopus 로고
    • On the matrix-cut rank of polyhedra
    • Cook, W., Dash, S. (2001): On the matrix-cut rank of polyhedra. Math. Oper. Res. 26, 19-30
    • (2001) Math. Oper. Res. , vol.26 , pp. 19-30
    • Cook, W.1    Dash, S.2
  • 9
    • 34249954960 scopus 로고
    • Chvátal closures for mixed integer programming problems
    • Cook, W., Kannan, R., Schrijver, A. (1990): Chvátal closures for mixed integer programming problems. Math. Program. 47, 155-174
    • (1990) Math. Program. , vol.47 , pp. 155-174
    • Cook, W.1    Kannan, R.2    Schrijver, A.3
  • 10
    • 0035252289 scopus 로고    scopus 로고
    • Elementary closures for integer programs
    • Cornuejols, G., Li, Y. (2001): Elementary closures for integer programs. Oper. Res. Lett. 28, 1-8
    • (2001) Oper. Res. Lett. , vol.28 , pp. 1-8
    • Cornuejols, G.1    Li, Y.2
  • 11
    • 84948952840 scopus 로고    scopus 로고
    • Bounds on the Chvátal rank of polytopes in the 0/1-cube
    • Cornuéjols, G. et al. (eds.) Integer Programming and Combinatorial Optimization. 7th International IPCO Conference, Graz Austria
    • Eisenbrand, F., Schulz, A. (1999): Bounds on the Chvátal rank of polytopes in the 0/1-cube. In: Cornuéjols, G. et al. (eds.) Integer Programming and Combinatorial Optimization. 7th International IPCO Conference, Graz Austria, Lecture Notes in Computer Science 1610, 137-150
    • (1999) Lecture Notes in Computer Science , vol.1610 , pp. 137-150
    • Eisenbrand, F.1    Schulz, A.2
  • 12
    • 0003575123 scopus 로고    scopus 로고
    • When does the positive semidefiniteness constraint help in lifting procedures
    • Preprint. Department of Combinatorics and Optimization, University of Waterloo, Ontario, Canada, to appear in
    • Goemans, M., Tuncel, L. (2000): When does the positive semidefiniteness constraint help in lifting procedures. Preprint. Department of Combinatorics and Optimization, University of Waterloo, Ontario, Canada, to appear in Math. Oper. Res.
    • (2000) Math. Oper. Res.
    • Goemans, M.1    Tuncel, L.2
  • 14
    • 0001154274 scopus 로고
    • Cones of matrices and set-functions and 0-1 optimization
    • Lovász, L., Schrijver, A. (1991): Cones of matrices and set-functions and 0-1 optimization. SIAM J. Optim. 1, 166-190
    • (1991) SIAM J. Optim. , vol.1 , pp. 166-190
    • Lovász, L.1    Schrijver, A.2
  • 16
    • 0000689851 scopus 로고
    • A recursive procedure to generate all cuts for 0-1 mixed integer programs
    • Nemhauser, G., Wolsey, L. (1990): A recursive procedure to generate all cuts for 0-1 mixed integer programs. Math. Program. 46, 379-390
    • (1990) Math. Program. , vol.46 , pp. 379-390
    • Nemhauser, G.1    Wolsey, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.