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Volumn 110, Issue 3, 2007, Pages 445-474

Active-constraint variable ordering for faster feasibility of mixed integer linear programs

Author keywords

[No Author keywords available]

Indexed keywords

INTEGER PROGRAMMING; LINEAR PROGRAMMING; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 34249850752     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-006-0009-0     Document Type: Article
Times cited : (32)

References (33)
  • 1
    • 0002031108 scopus 로고
    • Pivot and Complement - a Heuristic for 0-1 Programming
    • Balas, E., Martin, C.: Pivot and Complement - a Heuristic for 0-1 Programming. Manage. Sci. 26, 224-234 (1980)
    • (1980) Manage. Sci , vol.26 , pp. 224-234
    • Balas, E.1    Martin, C.2
  • 2
    • 34249845546 scopus 로고    scopus 로고
    • Balas, E., Martin, C.: Pivot and Shift - a Heuristic for Mixed Integer Programming. GSIA, Carnegie Mellon University (1986)
    • Balas, E., Martin, C.: Pivot and Shift - a Heuristic for Mixed Integer Programming. GSIA, Carnegie Mellon University (1986)
  • 4
    • 13944265305 scopus 로고    scopus 로고
    • Pivot and Shift - a Mixed Integer Programming Heuristic
    • Balas, E., Schmieta, S., Wallace, C.: Pivot and Shift - a Mixed Integer Programming Heuristic. Discrete Optim. 1, 3-12 (2004)
    • (2004) Discrete Optim , vol.1 , pp. 3-12
    • Balas, E.1    Schmieta, S.2    Wallace, C.3
  • 6
    • 0014924953 scopus 로고
    • Special facilities in a general mathematical programming system for nonconvex problems using ordered sets of variables
    • Tavistock publication, London
    • Beale, E.M.L., Tomlin, J.A.: Special facilities in a general mathematical programming system for nonconvex problems using ordered sets of variables. In: Proceedings of the fifth international conference on operational research, pp. 447-454. Tavistock publication, London (1970)
    • (1970) Proceedings of the fifth international conference on operational research , pp. 447-454
    • Beale, E.M.L.1    Tomlin, J.A.2
  • 8
    • 0002027106 scopus 로고    scopus 로고
    • An updated mixed integer programming library: MIPLIB 3.0
    • Bixby, R.E., Ceria, S., McZeal, C.M., Savelsbergh, M.W.P.: An updated mixed integer programming library: MIPLIB 3.0. Optima 58, 12-15 (1998)
    • (1998) Optima , vol.58 , pp. 12-15
    • Bixby, R.E.1    Ceria, S.2    McZeal, C.M.3    Savelsbergh, M.W.P.4
  • 9
    • 0000000310 scopus 로고
    • A tree search algorithm for mixed integer programming problems
    • Dakin, R.J.: A tree search algorithm for mixed integer programming problems. Comput. J. 8, 250-255 (1965)
    • (1965) Comput. J , vol.8 , pp. 250-255
    • Dakin, R.J.1
  • 10
    • 12344255882 scopus 로고    scopus 로고
    • Exploring relaxation induced neighborhoods to improve MIP solutions. Math. Prog
    • Danna, E., Rothberg, E., Le Pape, C.: Exploring relaxation induced neighborhoods to improve MIP solutions. Math. Prog. Ser. A102, 71-90 (2005)
    • (2005) Ser. A , vol.102 , pp. 71-90
    • Danna, E.1    Rothberg, E.2    Le Pape, C.3
  • 11
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking optimization software with performance profiles. Math. Prog
    • Dolan, E.D., Moreé J.: Benchmarking optimization software with performance profiles. Math. Prog. Ser. A 91, 201-213 (2002)
    • (2002) Ser. A , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moreé, J.2
  • 12
    • 0040684856 scopus 로고
    • Parallel branch-and-bound algorithms for general mixed integer programming on the CM-5
    • Eckstein, J.: Parallel branch-and-bound algorithms for general mixed integer programming on the CM-5. SIAM J. Optim. 4, 794-814 (1994)
    • (1994) SIAM J. Optim , vol.4 , pp. 794-814
    • Eckstein, J.1
  • 13
    • 24044549331 scopus 로고    scopus 로고
    • The feasibility pump. Math. Prog
    • Fischetti, M., Glover, F., Lodi, A.: The feasibility pump. Math. Prog. Ser. A 104, 91-104 (2005)
    • (2005) Ser. A , vol.104 , pp. 91-104
    • Fischetti, M.1    Glover, F.2    Lodi, A.3
  • 14
    • 0015973448 scopus 로고
    • Practical solution of large scale mixed integer programming problems with UMPIRE
    • Forest, J.J.H., Hirst, J.P.H., Tomlin, J.A.: Practical solution of large scale mixed integer programming problems with UMPIRE. Manage. Sci. 20, 736-773 (1974)
    • (1974) Manage. Sci , vol.20 , pp. 736-773
    • Forest, J.J.H.1    Hirst, J.P.H.2    Tomlin, J.A.3
  • 15
    • 0002957863 scopus 로고
    • Experiments in mixed-integer linear programming
    • Gauthier, J.M., Ribiere, G.: Experiments in mixed-integer linear programming. Math. Prog. 12, 26-47 (1977)
    • (1977) Math. Prog , vol.12 , pp. 26-47
    • Gauthier, J.M.1    Ribiere, G.2
  • 16
    • 0001215807 scopus 로고
    • Surrogate constraints
    • Glover, F.: Surrogate constraints. Oper. Res. 16, 741-749 (1968)
    • (1968) Oper. Res , vol.16 , pp. 741-749
    • Glover, F.1
  • 17
    • 0037803536 scopus 로고    scopus 로고
    • Tutorial on surrogate constraint approaches for optimization in graphs
    • Glover, F.: Tutorial on surrogate constraint approaches for optimization in graphs. J. Heuristics 9, 175-227 (2003)
    • (2003) J. Heuristics , vol.9 , pp. 175-227
    • Glover, F.1
  • 19
    • 0007993386 scopus 로고    scopus 로고
    • Analyzing infeasible mixed-integer and integer linear programs
    • Guieu, O., Chinneck, J.W.: Analyzing infeasible mixed-integer and integer linear programs. INFORMS J. Comput. 11, 63-77 (1999)
    • (1999) INFORMS J. Comput , vol.11 , pp. 63-77
    • Guieu, O.1    Chinneck, J.W.2
  • 20
    • 28244432254 scopus 로고
    • Features required in Branch-and-Bound Algorithms for (0-1) mixed integer linear programming
    • unpublished manuscript
    • Hirst, J.P.H.: Features required in Branch-and-Bound Algorithms for (0-1) mixed integer linear programming, unpublished manuscript (1969)
    • (1969)
    • Hirst, J.P.H.1
  • 21
    • 34249860555 scopus 로고    scopus 로고
    • ILOG Corporation.: Cplex 9.0 Callable Library Reference Manual (2003)
    • ILOG Corporation.: Cplex 9.0 Callable Library Reference Manual (2003)
  • 22
    • 34249844297 scopus 로고    scopus 로고
    • ILOG Corporation.: Cplex 9.0 C++ API Reference Manual (2003)
    • ILOG Corporation.: Cplex 9.0 C++ API Reference Manual (2003)
  • 23
    • 34249846226 scopus 로고    scopus 로고
    • ILOG Corporation.: Cplex 9.0 User's Manual (2003)
    • ILOG Corporation.: Cplex 9.0 User's Manual (2003)
  • 24
    • 0345792410 scopus 로고    scopus 로고
    • Progress in linear programming-based algorithms for integer programming: An exposition
    • Johnson, E.L., Nemhauser, G.L., Savelsbergh, M.W.P.: Progress in linear programming-based algorithms for integer programming: an exposition. INFORMS J. Comput. 12, 2-23 (2000)
    • (2000) INFORMS J. Comput , vol.12 , pp. 2-23
    • Johnson, E.L.1    Nemhauser, G.L.2    Savelsbergh, M.W.P.3
  • 25
    • 0001173632 scopus 로고
    • An automatic method for solving discrete programming problems
    • Land, A.H., Doig, A.G.: An automatic method for solving discrete programming problems. Econometrica 28, 497-520 (1960)
    • (1960) Econometrica , vol.28 , pp. 497-520
    • Land, A.H.1    Doig, A.G.2
  • 26
    • 0001332760 scopus 로고    scopus 로고
    • A computational study of search strategies for mixed integer programming
    • Linderoth, J.T., Savelsbergh, M.W.P.: A computational study of search strategies for mixed integer programming. INFORMS J. Comput. 11, 173-187 (1999)
    • (1999) INFORMS J. Comput , vol.11 , pp. 173-187
    • Linderoth, J.T.1    Savelsbergh, M.W.P.2
  • 27
    • 0038241143 scopus 로고    scopus 로고
    • Surrogate constraint analysis - new heuristics and learning schemes for satisfiability problems. DIMACS Ser
    • Lokketangen, A., Glover, F.: Surrogate constraint analysis - new heuristics and learning schemes for satisfiability problems. DIMACS Ser. Discrete Math. Theor. Comput. Sci. 35, 537-572 (1997)
    • (1997) Discrete Math. Theor. Comput. Sci , vol.35 , pp. 537-572
    • Lokketangen, A.1    Glover, F.2
  • 28
    • 0042124545 scopus 로고
    • Investigation of some branch-and-bound strategies for the solution of mixed integer linear programs
    • Mitra, G.: Investigation of some branch-and-bound strategies for the solution of mixed integer linear programs. Math. Progr. 5, 155-170 (1973)
    • (1973) Math. Progr , vol.5 , pp. 155-170
    • Mitra, G.1
  • 29
    • 34249855267 scopus 로고    scopus 로고
    • MIPLIB2003.: Library of mixed-integer linear programming test models at http://miplib.zib.de/miplib2003.php (2005)
    • MIPLIB2003.: Library of mixed-integer linear programming test models at http://miplib.zib.de/miplib2003.php (2005)
  • 30
    • 34249856887 scopus 로고    scopus 로고
    • Mittelman, H.: Benchmark for Optimization Software web-site at http://plato.la.asu.edu/bench.html (2001)
    • Mittelman, H.: Benchmark for Optimization Software web-site at http://plato.la.asu.edu/bench.html (2001)
  • 31
    • 0026124209 scopus 로고
    • A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems
    • Padberg, M.W, Rinaldi, G.: A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems. SIAM Rev. 33, 60-100 (1991)
    • (1991) SIAM Rev , vol.33 , pp. 60-100
    • Padberg, M.W.1    Rinaldi, G.2
  • 32
    • 0039067393 scopus 로고
    • Mixed integer programming by a branch and bound technique
    • Small, R.E.: Mixed integer programming by a branch and bound technique. Proc. the 3rd IFIP Congress 2, 450-451 (1965)
    • (1965) Proc. the 3rd IFIP Congress , vol.2 , pp. 450-451
    • Small, R.E.1
  • 33
    • 0008970476 scopus 로고
    • An improved branch-and-bound method for integer programming
    • Tomlin. J.A.: An improved branch-and-bound method for integer programming. Oper. Res. 19, 1070-1075 (1969)
    • (1969) Oper. Res , vol.19 , pp. 1070-1075
    • Tomlin, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.