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Volumn 123, Issue 2, 2010, Pages 345-370

Multi-phase dynamic constraint aggregation for set partitioning type problems

Author keywords

Degeneracy; Dynamic constraint aggregation; K incompatibility; Multi phase algorithm; Set partitioning

Indexed keywords

COMPUTATION TIME; DEGENERACY; DISJOINT SUBSETS; DRIVER SCHEDULING; DYNAMIC CONSTRAINT AGGREGATION; LINEAR RELAXATIONS; PHASE DYNAMICS; PRICING STRATEGY; SET PARTITIONING; SOLUTION PROCESS; SPEED-UPS; THEORETICAL RESULT;

EID: 77949540223     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-008-0254-5     Document Type: Article
Times cited : (37)

References (28)
  • 1
    • 0010651331 scopus 로고
    • A mutual primal-dual simplex method
    • R.L. Graves P. Wolfe (eds). McGraw-Hill New York
    • Balinski M.L., Gomory R.E.: A mutual primal-dual simplex method. In: Graves, R.L., Wolfe, P. (eds) Recent Advances in Mathematical Programming., pp. 17-28. McGraw-Hill, New York (1963)
    • (1963) Recent Advances in Mathematical Programming , pp. 17-28
    • Balinski, M.L.1    Gomory, R.E.2
  • 2
    • 0000495533 scopus 로고
    • On an integer program for a delivery problem
    • 10.1287/opre.12.2.300
    • M.L. Balinski R.E. Quandt 1964 On an integer program for a delivery problem Oper. Res. 12 300 304 10.1287/opre.12.2.300
    • (1964) Oper. Res. , vol.12 , pp. 300-304
    • Balinski, M.L.1    Quandt, R.E.2
  • 3
    • 0000652462 scopus 로고
    • New finite pivoting rule for simplex method
    • 0408.90050 10.1287/moor.2.2.103 459599
    • R.G. Bland 1977 New finite pivoting rule for simplex method Math. Oper. Res. 2 103 107 0408.90050 10.1287/moor.2.2.103 459599
    • (1977) Math. Oper. Res. , vol.2 , pp. 103-107
    • Bland, R.G.1
  • 4
    • 0000014724 scopus 로고
    • Optimality and degeneracy in linear programming
    • 0049.37903 10.2307/1907845 56264
    • A. Charnes 1952 Optimality and degeneracy in linear programming Econometrica 20 160 170 0049.37903 10.2307/1907845 56264
    • (1952) Econometrica , vol.20 , pp. 160-170
    • Charnes, A.1
  • 5
    • 0035451543 scopus 로고    scopus 로고
    • Simultaneous locomotive and car assignment at VIA Rail Canada
    • 10.1016/S0191-2615(00)00022-9
    • J.-F. Cordeau G. Desaulniers N. Lingaya F. Soumis J. Desrosiers 2001 Simultaneous locomotive and car assignment at VIA Rail Canada Transp. Res. B 35 767 787 10.1016/S0191-2615(00)00022-9
    • (2001) Transp. Res. B , vol.35 , pp. 767-787
    • Cordeau, J.-F.1    Desaulniers, G.2    Lingaya, N.3    Soumis, F.4    Desrosiers, J.5
  • 6
    • 84972521846 scopus 로고
    • The generalized simplex method for minimizing a linear form under linear inequality restraints
    • 0064.39402 69584
    • G.B. Dantzig G.B. Orden P. Wolfe 1955 The generalized simplex method for minimizing a linear form under linear inequality restraints Pac. J. Math. 5 183 195 0064.39402 69584
    • (1955) Pac. J. Math. , vol.5 , pp. 183-195
    • Dantzig, G.B.1    Orden, G.B.2    Wolfe, P.3
  • 7
    • 85042163696 scopus 로고
    • A new optimization algorithm for the vehicle routing problem with time Windows
    • 0749.90025 10.1287/opre.40.2.342 1162951
    • M. Desrochers J. Desrosiers F. Soumis 1992 A new optimization algorithm for the vehicle routing problem with time Windows Oper. Res. 40 342 354 0749.90025 10.1287/opre.40.2.342 1162951
    • (1992) Oper. Res. , vol.40 , pp. 342-354
    • Desrochers, M.1    Desrosiers, J.2    Soumis, F.3
  • 8
    • 0002144209 scopus 로고
    • A generalized permanent labeling algorithm for the shortest path problem with time Windows
    • 0652.90097
    • M. Desrochers F. Soumis 1988 A generalized permanent labeling algorithm for the shortest path problem with time Windows INFOR 26 191 212 0652.90097
    • (1988) INFOR , vol.26 , pp. 191-212
    • Desrochers, M.1    Soumis, F.2
  • 9
    • 0002814836 scopus 로고
    • A column generation approach to the urban transit crew scheduling problem
    • 0668.90043 10.1287/trsc.23.1.1
    • M. Desrochers F. Soumis 1989 A column generation approach to the urban transit crew scheduling problem Transp. Sci. 23 1 13 0668.90043 10.1287/trsc.23.1.1
    • (1989) Transp. Sci. , vol.23 , pp. 1-13
    • Desrochers, M.1    Soumis, F.2
  • 10
    • 25144452782 scopus 로고    scopus 로고
    • Dynamic aggregation of set partitioning constraints in column generation
    • 1165.90604 10.1287/opre.1050.0222
    • I. Elhallaoui D. Villeneuve F. Soumis G. Desaulniers 2005 Dynamic aggregation of set partitioning constraints in column generation Oper. Res. 53 632 645 1165.90604 10.1287/opre.1050.0222
    • (2005) Oper. Res. , vol.53 , pp. 632-645
    • Elhallaoui, I.1    Villeneuve, D.2    Soumis, F.3    Desaulniers, G.4
  • 11
    • 0032358967 scopus 로고    scopus 로고
    • A new degeneracy method and steepest-edge-based conditioning for LP
    • 0918.65042 10.1137/S1052623494277470 1646118
    • R. Fletcher 1998 A new degeneracy method and steepest-edge-based conditioning for LP SIAM J. Optim. 8 1038 1059 0918.65042 10.1137/ S1052623494277470 1646118
    • (1998) SIAM J. Optim. , vol.8 , pp. 1038-1059
    • Fletcher, R.1
  • 12
    • 0040437905 scopus 로고
    • Degeneracy in optimization problems
    • 10.1007/BF02096255 1260010
    • T. Gal 1993 Degeneracy in optimization problems Ann. Oper. Res. 46/47 1 7 10.1007/BF02096255 1260010
    • (1993) Ann. Oper. Res. , vol.4647 , pp. 1-7
    • Gal, T.1
  • 13
    • 0032637840 scopus 로고    scopus 로고
    • A column generation approach for large scale aircrew rostering problems
    • 1041.90513 10.1287/opre.47.2.247
    • M. Gamache F. Soumis G. Marquis J. Desrosiers 1999 A column generation approach for large scale aircrew rostering problems Oper. Res. 47 247 263 1041.90513 10.1287/opre.47.2.247
    • (1999) Oper. Res. , vol.47 , pp. 247-263
    • Gamache, M.1    Soumis, F.2    Marquis, G.3    Desrosiers, J.4
  • 14
    • 0002554041 scopus 로고
    • Lagrangean relaxation for integer programming
    • 439172
    • A.M. Geoffrion 1974 Lagrangean relaxation for integer programming Math. Program. Study 2 82 114 439172
    • (1974) Math. Program. Study , vol.2 , pp. 82-114
    • Geoffrion, A.M.1
  • 15
    • 0001215807 scopus 로고
    • Surrogate constraints
    • 0165.22602 10.1287/opre.16.4.741 250670
    • F. Glover 1968 Surrogate constraints Oper. Res. 16 741 749 0165.22602 10.1287/opre.16.4.741 250670
    • (1968) Oper. Res. , vol.16 , pp. 741-749
    • Glover, F.1
  • 16
    • 0000726097 scopus 로고
    • A practicable steepest-edge simplex algorithm
    • 0443.90058 10.1007/BF01593804 452649
    • D. Goldfarb J.K. Reid 1977 A practicable steepest-edge simplex algorithm Math. Program. 12 361 371 0443.90058 10.1007/BF01593804 452649
    • (1977) Math. Program. , vol.12 , pp. 361-371
    • Goldfarb, D.1    Reid, J.K.2
  • 17
    • 0035413693 scopus 로고    scopus 로고
    • Simultaneous vehicle and crew scheduling in urban mass transit systems
    • 1069.90528 10.1287/trsc.35.3.286.10153
    • K. Haase G. Desaulniers J. Desrosiers 2001 Simultaneous vehicle and crew scheduling in urban mass transit systems Transp. Sci. 35 286 303 1069.90528 10.1287/trsc.35.3.286.10153
    • (2001) Transp. Sci. , vol.35 , pp. 286-303
    • Haase, K.1    Desaulniers, G.2    Desrosiers, J.3
  • 18
    • 0002825455 scopus 로고
    • Pivot selection methods of the devex LP code
    • 0261.90031 10.1007/BF01580108
    • P.M. Harris 1973 Pivot selection methods of the devex LP code Math. Program. 5 1 28 0261.90031 10.1007/BF01580108
    • (1973) Math. Program. , vol.5 , pp. 1-28
    • Harris, P.M.1
  • 19
    • 0027614308 scopus 로고
    • Solving ariline crew scheduling problems by branch-and-cut
    • 0783.90051 10.1287/mnsc.39.6.657
    • K.L. Hoffman M. Padberg 1993 Solving ariline crew scheduling problems by branch-and-cut Manage. Sci. 39 657 682 0783.90051 10.1287/mnsc.39.6.657
    • (1993) Manage. Sci. , vol.39 , pp. 657-682
    • Hoffman, K.L.1    Padberg, M.2
  • 20
    • 84889973397 scopus 로고    scopus 로고
    • Shortest path problems with resource constraints
    • G. Desaulniers J. Desrosiers M.M. Solomon (eds). Springer New York. 10.1007/0-387-25486-2-2
    • Irnich S., Desaulniers G.: Shortest path problems with resource constraints. In: Desaulniers, G., Desrosiers, J., Solomon, M.M. (eds) Column Generation., pp. 33-65. Springer, New York (2005)
    • (2005) Column Generation , pp. 33-65
    • Irnich, S.1    Desaulniers, G.2
  • 21
    • 0019912540 scopus 로고
    • An iterative aggregation procedure for Markov decision process
    • 0481.90090 10.1287/opre.30.1.62 647400
    • R. Mendelssohn 1982 An iterative aggregation procedure for Markov decision process Oper. Res. 30 62 73 0481.90090 10.1287/opre.30.1.62 647400
    • (1982) Oper. Res. , vol.30 , pp. 62-73
    • Mendelssohn, R.1
  • 22
    • 0032138390 scopus 로고    scopus 로고
    • A basis deficiency-allowing variation of the simplex method for linear programming
    • 0941.90055 10.1016/S0898-1221(98)00127-8 1632403
    • P.-Q. Pan 1998 A basis deficiency-allowing variation of the simplex method for linear programming Comput. Math. Appl. 36 3 33 53 0941.90055 10.1016/S0898-1221(98)00127-8 1632403
    • (1998) Comput. Math. Appl. , vol.36 , Issue.3 , pp. 33-53
    • Pan, P.-Q.1
  • 23
    • 0000606094 scopus 로고
    • Aggregation and disaggregation techniques and methodology in optimization
    • 0729.90738 10.1287/opre.39.4.553 1131025
    • D.F. Rogers R.D. Plante R.T. Wong J.R. Evans 1991 Aggregation and disaggregation techniques and methodology in optimization Oper. Res. 39 553 582 0729.90738 10.1287/opre.39.4.553 1131025
    • (1991) Oper. Res. , vol.39 , pp. 553-582
    • Rogers, D.F.1    Plante, R.D.2    Wong, R.T.3    Evans, J.R.4
  • 24
    • 34250097658 scopus 로고
    • On the solution of highly degenerate linear programmes
    • 0651.90045 10.1007/BF01580776
    • D.M. Ryan M. et Osborne 1988 On the solution of highly degenerate linear programmes Math. Program. 41 385 392 0651.90045 10.1007/BF01580776
    • (1988) Math. Program. , vol.41 , pp. 385-392
    • Ryan, D.M.1    Et Osborne, M.2
  • 25
    • 0023532839 scopus 로고
    • Solving large-scale linear programs by aggregation
    • 0626.90057 10.1016/0305-0548(87)90035-9 904148
    • C.M. Shetty R.W. Taylor 1987 Solving large-scale linear programs by aggregation Comput. Oper. Res. 14 385 393 0626.90057 10.1016/0305-0548(87)90035- 9 904148
    • (1987) Comput. Oper. Res. , vol.14 , pp. 385-393
    • Shetty, C.M.1    Taylor, R.W.2
  • 26
    • 0344271280 scopus 로고
    • Pivot rules for linear programming: A survey on recent theoretical developments
    • 10.1007/BF02096264 1260019
    • T. Terlaky Z. Sushong 1993 Pivot rules for linear programming: a survey on recent theoretical developments Ann. Oper. Res. 46 203 233 10.1007/BF02096264 1260019
    • (1993) Ann. Oper. Res. , vol.46 , pp. 203-233
    • Terlaky, T.1    Sushong, Z.2
  • 28
    • 0000238985 scopus 로고
    • A technique for resolving degeneracy in LP
    • 153485
    • P. Wolfe 1963 A technique for resolving degeneracy in LP SIAM J. 2 205 211 153485
    • (1963) SIAM J. , vol.2 , pp. 205-211
    • Wolfe, P.1


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