-
1
-
-
84959054838
-
Non-standard approaches to integer programming
-
Louvain-la-Neuve, Belgium
-
K. Aardal, R. Weismantel, and L.A. Wolsey. Non-standard approaches to integer programming. Technical Report CORE DP2000/2, Université Catholique de Louvain, Louvain-la-Neuve, Belgium, 2000.
-
(2000)
Technical Report CORE DP2000/2, Université Catholique De Louvain
-
-
Aardal, K.1
Weismantel, R.2
Wolsey, L.A.3
-
3
-
-
0003465839
-
Finding cuts in the TSP
-
March
-
D. Applegate, R. E. Bixby, V. Chvátal, and W. Cook. Finding cuts in the TSP. Technical Report 95-05, DIMACS, March 1995.
-
(1995)
Technical Report 95-05, DIMACS
-
-
Applegate, D.1
Bixby, R.E.2
Chvátal, V.3
Cook, W.4
-
4
-
-
34250395123
-
Facets of the knapsack polytope
-
E. Balas. Facets of the knapsack polytope. Mathematical Programming, 8:146–164, 1975.
-
(1975)
Mathematical Programming
, vol.8
, pp. 146-164
-
-
Balas, E.1
-
5
-
-
0000185277
-
A lift-and-project cutting plane algorithm for mixed 0 −1 programs
-
E. Balas, S. Ceria, and G. Cornuéjols. A lift-and-project cutting plane algorithm for mixed 0 − 1 programs. Mathematical Programming, 58:295–324, 1993.
-
(1993)
Mathematical Programming
, vol.58
, pp. 295-324
-
-
Balas, E.1
Ceria, S.2
Cornuéjols, G.3
-
6
-
-
0037870067
-
Mixed 0-1 programming by lift-and-project in a branch-and-cut framework
-
E. Balas, S. Ceria, and G. Cornuéjols. Mixed 0-1 programming by lift-and-project in a branch-and-cut framework. Management Science, 42:1229–1246, 1996.
-
(1996)
Management Science
, vol.42
, pp. 1229-1246
-
-
Balas, E.1
Ceria, S.2
Cornuéjols, G.3
-
7
-
-
0001878760
-
Gomory cuts revisited
-
E. Balas, S. Ceria, G. Cornuéjols, and N. Natraj. Gomory cuts revisited. Operations Research Letters, 19:1–9, 1996.
-
(1996)
Operations Research Letters
, vol.19
, pp. 1-9
-
-
Balas, E.1
Ceria, S.2
Cornuéjols, G.3
Natraj, N.4
-
8
-
-
0001851118
-
Experiments in mixed-integer programming
-
M. Benichou, J. M. Gauthier, P. Girodet, G. Hentges, G. Ribiere, and O. Vincent. Experiments in mixed-integer programming. Mathematical Programming, 1:76–94, 1971.
-
(1971)
Mathematical Programming
, vol.1
, pp. 76-94
-
-
Benichou, M.1
Gauthier, J.M.2
Girodet, P.3
Hentges, G.4
Ribiere, G.5
Vincent, O.6
-
11
-
-
0342461933
-
MIP: Theory and practice closing the gap
-
Paris, France
-
R.E. Bixby, M. Fenelon, Z. Guand E. Rothberg, and R. Wunderling. MIP: Theory and practice closing the gap. Technical report, ILOG Inc., Paris, France, 1999.
-
(1999)
Technical Report, ILOG Inc
-
-
Bixby, R.E.1
Fenelon, M.2
Guand, Z.3
Rothberg, E.4
Wunderling, R.5
-
12
-
-
84903558039
-
Aspects of Set Packing
-
PhD thesis, Technische Universität Berlin
-
R. Borndörfer. Aspects of Set Packing, Partitioning, and Covering. PhD thesis, Technische Universität Berlin, 1998.
-
(1998)
Partitioning, and Covering
-
-
Borndörfer, R.1
-
14
-
-
0001917497
-
Branch-and-cut algorithms
-
In M. Dell’Amico, F. Maffioli, and S. Martello, editors, John Wiley & Sons Ltd, Chichester
-
A. Caprara and M. Fischetti. Branch-and-cut algorithms. In M. Dell’Amico, F. Maffioli, and S. Martello, editors, Annotated Bibliographies in Combinatorial Optimization, pages 45–63. John Wiley & Sons Ltd, Chichester, 1997.
-
(1997)
Annotated Bibliographies in Combinatorial Optimization
, pp. 45-63
-
-
Caprara, A.1
Fischetti, M.2
-
15
-
-
0001172858
-
Cutting planes for integer programs with general integer variables
-
S. Ceria, C. Cordier, H. Marchand, and L. A. Wolsey. Cutting planes for integer programs with general integer variables. Mathematical Programming, 81:201–214, 1998.
-
(1998)
Mathematical Programming
, vol.81
, pp. 201-214
-
-
Ceria, S.1
Cordier, C.2
Marchand, H.3
Wolsey, L.A.4
-
16
-
-
0000971541
-
Edmonds polytopes and a hierarchy of combinatorial problems
-
V. Chvátal. Edmonds polytopes and a hierarchy of combinatorial problems. Discrete Mathematics, 4:305–337, 1973.
-
(1973)
Discrete Mathematics
, vol.4
, pp. 305-337
-
-
Chvátal, V.1
-
19
-
-
0002799155
-
Bc–opt: A branch-and-cut code for mixed integer programs
-
C. Cordier, H. Marchand, R. Laundy, and L. A. Wolsey. bc–opt: a branch-and-cut code for mixed integer programs. Mathematical Programming, 86:335–354, 1999.
-
(1999)
Mathematical Programming
, vol.86
, pp. 335-354
-
-
Cordier, C.1
Marchand, H.2
Laundy, R.3
Wolsey, L.A.4
-
20
-
-
0020815626
-
Solving large-scale zero-one linear programming problems
-
H. Crowder, E. Johnson, and M. W. Padberg. Solving large-scale zero-one linear programming problems. Operations Research, 31:803–834, 1983.
-
(1983)
Operations Research
, vol.31
, pp. 803-834
-
-
Crowder, H.1
Johnson, E.2
Padberg, M.W.3
-
21
-
-
84959039205
-
Blisworth House, Blisworth, Northants NN7 3BX, United Kingdom
-
Information
-
DASH Associates, Blisworth House, Blisworth, Northants NN7 3BX, United Kingdom. XPRESS-MP Optimisation Subroutine Library, 2001. Information available at URL http://www.dash.co.uk.
-
(2001)
XPRESS-MP Optimisation Subroutine Library
-
-
-
22
-
-
0040684856
-
Parallel branch-and-bound algorithms for general mixed integer programming on the CM-5
-
J. Eckstein. Parallel branch-and-bound algorithms for general mixed integer programming on the CM-5. SIAM Journal on Optimization, 4:794–814, 1994.
-
(1994)
SIAM Journal on Optimization
, vol.4
, pp. 794-814
-
-
Eckstein, J.1
-
25
-
-
84958977914
-
Outline of an algorithm for integer solutions to linear programs
-
R. E. Gomory. Outline of an algorithm for integer solutions to linear programs. Bulletin of the American Society, 64:275–278, 1958.
-
(1958)
Bulletin of the American Society
, vol.64
, pp. 275-278
-
-
Gomory, R.E.1
-
27
-
-
0000318584
-
Solving linear programming problems in integers
-
R. Bellman and M. Hall, editors, Providence RI
-
R. E. Gomory. Solving linear programming problems in integers. In R. Bellman and M. Hall, editors, Combinatorial analysis, Proceedings of Symposia in Applied Mathematics, volume 10, Providence RI, 1960.
-
(1960)
Combinatorial Analysis, Proceedings of Symposia in Applied Mathematics
, vol.10
-
-
Gomory, R.E.1
-
28
-
-
0002707458
-
An algorithm for integer solutions to linear programming
-
In R. L. Graves and P. Wolfe, editors, New York, McGraw-Hill
-
R. E. Gomory. An algorithm for integer solutions to linear programming. In R. L. Graves and P. Wolfe, editors, Recent Advances in Mathematical Programming, pages 269–302, New York, 1969. McGraw-Hill.
-
(1969)
Recent Advances in Mathematical Programming
, pp. 269-302
-
-
Gomory, R.E.1
-
29
-
-
0002882891
-
Presolve analysis of linear programs prior to apply an interior point method
-
J. Gondzio. Presolve analysis of linear programs prior to apply an interior point method. INFORMS Journal on Computing, 9:73–91, 1997.
-
(1997)
INFORMS Journal on Computing
, vol.9
, pp. 73-91
-
-
Gondzio, J.1
-
30
-
-
51249185617
-
The ellipsoid method and its consequences in combinatorial optimization
-
M. Grötschel, L. Lovász, and A. Schrijver. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica, 1:169–197, 1981.
-
(1981)
Combinatorica
, vol.1
, pp. 169-197
-
-
Grötschel, M.1
Lovász, L.2
Schrijver, A.3
-
34
-
-
0000788402
-
Lifted flow cover inequalities for mixed 0-1 integer programs
-
Z. Gu, G. L. Nemhauser, and M. W. P. Savelsbergh. Lifted flow cover inequalities for mixed 0-1 integer programs. Mathematical Programming, 85:439–468, 1999.
-
(1999)
Mathematical Programming
, vol.85
, pp. 439-468
-
-
Gu, Z.1
Nemhauser, G.L.2
Savelsbergh, M.W.3
-
37
-
-
0026125207
-
Improved LP-representations of zero-one linear programs for branch-and-cut
-
K. L. Hoffman and M. W. Padberg. Improved LP-representations of zero-one linear programs for branch-and-cut. ORSA Journal on Computing, 3:121–134, 1991.
-
(1991)
ORSA Journal on Computing
, vol.3
, pp. 121-134
-
-
Hoffman, K.L.1
Padberg, M.W.2
-
38
-
-
84959046029
-
-
Using the CPLEX Callable Library, Information
-
ILOG CPLEX Division, 889Alder Avenue, Suite 200, Incline Village, NV 89451, USA. Using the CPLEX Callable Library, 1997. Information available at URL http://www.cplex.com.
-
(1997)
889Alder Avenue, Suite 200, Incline Village, NV 89451, USA
-
-
-
39
-
-
84959050481
-
-
Using the CPLEX Callable Library, Information
-
ILOG CPLEX Division, 889 Alder Avenue, Suite 200, Incline Village, NV 89451, USA. Using the CPLEX Callable Library, 2000. Information available at URL http://www.cplex.com.
-
(2000)
889 Alder Avenue, Suite 200, Incline Village, NV 89451, USA
-
-
-
40
-
-
0342571667
-
The ABACUS System for Branch and Cut and Price Algorithms in Integer Programming and Combinatorial Optimization
-
Jünger, M., Thienel, S.: The ABACUS System for Branch and Cut and Price Algorithms in Integer Programming and Combinatorial Optimization. Software Practice and Experience 30, 1325–1352, 2000.
-
(2000)
Software Practice and Experience
, vol.30
, pp. 1325-1352
-
-
Jünger, M.1
Thienel, S.2
-
41
-
-
0002431626
-
A note on the knapsack problem with special ordered sets
-
E. Johnson and M. W. Padberg. A note on the knapsack problem with special ordered sets. Operations Research Letters, 1:18–22, 1981.
-
(1981)
Operations Research Letters
, vol.1
, pp. 18-22
-
-
Johnson, E.1
Padberg, M.W.2
-
43
-
-
0039986425
-
Solving Steiner tree problems in graphs to optimality
-
T. Koch and A. Martin. Solving Steiner tree problems in graphs to optimality. Networks, 32:207–232, 1998.
-
(1998)
Networks
, vol.32
, pp. 207-232
-
-
Koch, T.1
Martin, A.2
-
44
-
-
77957093543
-
Computer codes for problems of integer programming
-
A. Land and S. Powell. Computer codes for problems of integer programming. Annals of Discrete Mathematics, 5:221–269, 1979.
-
(1979)
Annals of Discrete Mathematics
, vol.5
, pp. 221-269
-
-
Land, A.1
Powell, S.2
-
46
-
-
0004152636
-
A Polyhedral Study of the Mixed Knapsack Set and its Use to Solve Mixed Integer Programs
-
PhD thesis, Louvainla-Neuve, Belgium
-
H. Marchand. A Polyhedral Study of the Mixed Knapsack Set and its Use to Solve Mixed Integer Programs. PhD thesis, Université Catholique de Louvain, Louvainla-Neuve, Belgium, 1998.
-
(1998)
Université Catholique De Louvain
-
-
Marchand, H.1
-
47
-
-
0006102493
-
Cutting planes in integer and mixed integer programming
-
Louvain-la-Neuve, Belgium
-
H. Marchand, A. Martin, R. Weismantel, and L.A. Wolsey. Cutting planes in integer and mixed integer programming. Technical Report CORE DP9953, Université Catholique de Louvain, Louvain-la-Neuve, Belgium, 1999.
-
(1999)
Technical Report CORE DP9953, Université Catholique De Louvain
-
-
Marchand, H.1
Martin, A.2
Weismantel, R.3
Wolsey, L.A.4
-
48
-
-
0002496107
-
The 0−1 knapsack problem with a single continuous variable
-
H. Marchand and L. A. Wolsey. The 0−1 knapsack problem with a single continuous variable. Mathematical Programming, 85:15–33, 1999.
-
(1999)
Mathematical Programming
, vol.85
, pp. 15-33
-
-
Marchand, H.1
Wolsey, L.A.2
-
50
-
-
84958760311
-
The intersection of knapsack polyhedra and extensions
-
R. E. Bixby, E. A. Boyd, and R. Z. Ríos-Mercado, editors
-
A. Martin and R. Weismantel. The intersection of knapsack polyhedra and extensions. In R. E. Bixby, E. A. Boyd, and R. Z. Ríos-Mercado, editors, Integer Programming and Combinatorial Optimization, Proceedings of the 6th IPCO Conference, pages 243–256, 1998.
-
(1998)
Integer Programming and Combinatorial Optimization, Proceedings of the 6Th IPCO Conference
, pp. 243-256
-
-
Martin, A.1
Weismantel, R.2
-
51
-
-
0042124545
-
Investigations of some branch and bound strategies for the solution of mixed integer linear programs
-
G. Mitra. Investigations of some branch and bound strategies for the solution of mixed integer linear programs. Mathematical Programming, 4:155–170, 1973.
-
(1973)
Mathematical Programming
, vol.4
, pp. 155-170
-
-
Mitra, G.1
-
52
-
-
4344639338
-
Polyhedral theory and branch-and-cut algorithms for the symmetric tsp
-
G. Gutin and A. Punnen, editors, Kluwert, To appear
-
D. Naddef. Polyhedral theory and branch-and-cut algorithms for the symmetric tsp. In G. Gutin and A. Punnen, editors, The Traveling Salesman Problem and its Variations. Kluwert, 2001. To appear.
-
(2001)
The Traveling Salesman Problem and Its Variations
-
-
Naddef, D.1
-
53
-
-
0028368816
-
MINTO, a Mixed INTeger Optimizer
-
G. L. Nemhauser, M. W. P. Savelsbergh, and G. C. Sigismondi. MINTO, a Mixed INTeger Optimizer. Operations Research Letters, 15:47–58, 1994.
-
(1994)
Operations Research Letters
, vol.15
, pp. 47-58
-
-
Nemhauser, G.L.1
Savelsbergh, M.W.2
Sigismondi, G.C.3
-
54
-
-
0028742392
-
Lifted cover facets of the 0 −1 knapsack polytope with GUB constraints
-
G. L. Nemhauser and P. H. Vance. Lifted cover facets of the 0 − 1 knapsack polytope with GUB constraints. Operations Research Letters, 16:255–263, 1994.
-
(1994)
Operations Research Letters
, vol.16
, pp. 255-263
-
-
Nemhauser, G.L.1
Vance, P.H.2
-
55
-
-
0000689851
-
A recursive procedure to generate all cuts for 0 −1 mixed integer programs
-
G. L. Nemhauser and L. A. Wolsey. A recursive procedure to generate all cuts for 0 − 1 mixed integer programs. Mathematical Programming, 46:379–390, 1990.
-
(1990)
Mathematical Programming
, vol.46
, pp. 379-390
-
-
Nemhauser, G.L.1
Wolsey, L.A.2
-
56
-
-
34250429350
-
On the facial structure of set packing polyhedra
-
M. W. Padberg. On the facial structure of set packing polyhedra. Mathematical Programming, 5:199–215, 1973.
-
(1973)
Mathematical Programming
, vol.5
, pp. 199-215
-
-
Padberg, M.W.1
-
57
-
-
0000214393
-
A note on zero-one programming
-
M. W. Padberg. A note on zero-one programming. Operations Research, 23:833–837, 1975.
-
(1975)
Operations Research
, vol.23
, pp. 833-837
-
-
Padberg, M.W.1
-
58
-
-
0002793189
-
(1, k)-configurations and facets for packing problems
-
M. W. Padberg. (1, k)-configurations and facets for packing problems. Mathematical Programming, 18:94–99, 1980.
-
(1980)
Mathematical Programming
, vol.18
, pp. 94-99
-
-
Padberg, M.W.1
-
62
-
-
0023250226
-
Solving mixed integer programming problems using automatic reformulation
-
T. J. Van Roy and L. A. Wolsey. Solving mixed integer programming problems using automatic reformulation. Operations Research, 35:45–57, 1987.
-
(1987)
Operations Research
, vol.35
, pp. 45-57
-
-
Van Roy, T.J.1
Wolsey, L.A.2
-
64
-
-
0039331672
-
Linear programming solver software for personal computers: 1995 report
-
Ramesh Sharda. Linear programming solver software for personal computers: 1995 report. OR/MS Today, 22(5):49–57, 1995.
-
(1995)
OR/MS Today
, vol.22
, Issue.5
, pp. 49-57
-
-
Sharda, R.1
-
68
-
-
77951506672
-
On the 0/1 knapsack polytope
-
R. Weismantel. On the 0/1 knapsack polytope. Mathematical Programming, 77:49–68, 1997.
-
(1997)
Mathematical Programming
, vol.77
, pp. 49-68
-
-
Weismantel, R.1
-
69
-
-
34250395041
-
Faces of linear inequalities in 0-1 variables
-
L. A. Wolsey. Faces of linear inequalities in 0-1 variables. Mathematical Programming, 8:165–178, 1975.
-
(1975)
Mathematical Programming
, vol.8
, pp. 165-178
-
-
Wolsey, L.A.1
-
70
-
-
0003165798
-
Valid inequalities and superadditivity for 0/1 integer programs
-
L. A. Wolsey. Valid inequalities and superadditivity for 0/1 integer programs. Mathematics of Operations Research, 2:66–77, 1977.
-
(1977)
Mathematics of Operations Research
, vol.2
, pp. 66-77
-
-
Wolsey, L.A.1
-
71
-
-
0001615533
-
Valid inequalities for 0-1 knapsacks and MIPs with generalized upper bound constraints
-
L. A. Wolsey. Valid inequalities for 0-1 knapsacks and MIPs with generalized upper bound constraints. Discrete Applied Mathematics, 29:251–261, 1990.
-
(1990)
Discrete Applied Mathematics
, vol.29
, pp. 251-261
-
-
Wolsey, L.A.1
-
72
-
-
0000271159
-
Easily computable facets of the knapsack polytope
-
E. Zemel. Easily computable facets of the knapsack polytope. Mathematics of Operations Research, 14:760–764, 1989.
-
(1989)
Mathematics of Operations Research
, vol.14
, pp. 760-764
-
-
Zemel, E.1
|