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Volumn 44, Issue 3, 2009, Pages 487-519

New facets for the two-stage uncapacitated facility location polytope

Author keywords

Combinatorial optimization; Facet; Location; Set packing; Two stage

Indexed keywords

COMPUTATIONAL STUDIES; CONVEX HULL; FACET-DEFINING INEQUALITIES; FACILITY LOCATION PROBLEM; FACILITY LOCATIONS; FEASIBLE SOLUTION; IN-PLANTS; POLYTOPES; SET PACKING; SET PACKING PROBLEM; TOTAL COSTS; TWO STAGE;

EID: 74249108916     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-008-9165-x     Document Type: Article
Times cited : (20)

References (39)
  • 1
    • 0000340898 scopus 로고    scopus 로고
    • On the two-level uncapacitated facility location problem
    • 0863.90102 10.1287/ijoc.8.3.289
    • K. Aardal M. Labbé J. Leung M. Queyranne 1996 On the two-level uncapacitated facility location problem INFORMS J. Comput. 8 3 289 301 0863.90102 10.1287/ijoc.8.3.289
    • (1996) INFORMS J. Comput. , vol.8 , Issue.3 , pp. 289-301
    • Aardal, K.1    Labbé, M.2    Leung, J.3    Queyranne, M.4
  • 2
    • 0000181965 scopus 로고
    • Compositions of graphs and polyhedra II: Stable sets
    • 0802.05068 10.1137/S0895480190182678 1285576
    • F. Barahona A.R. Mahjoub 1994 Compositions of graphs and polyhedra II: Stable sets SIAM J. Discrete Math. 7 359 371 0802.05068 10.1137/ S0895480190182678 1285576
    • (1994) SIAM J. Discrete Math. , vol.7 , pp. 359-371
    • Barahona, F.1    Mahjoub, A.R.2
  • 3
    • 0028579946 scopus 로고
    • A general model for the uncapacitated facility and depot location problem
    • 0919.90097
    • A.I. Barros M. Labbé 1994 A general model for the uncapacitated facility and depot location problem Location Sci. 2 173 191 0919.90097
    • (1994) Location Sci. , vol.2 , pp. 173-191
    • Barros, A.I.1    Labbé, M.2
  • 4
    • 0038955611 scopus 로고
    • A warehouse-location problem
    • 10.1287/opre.6.2.252 92693
    • W.J. Baumol P. Wolfe 1958 A warehouse-location problem Oper. Res. 6 252 263 10.1287/opre.6.2.252 92693
    • (1958) Oper. Res. , vol.6 , pp. 252-263
    • Baumol, W.J.1    Wolfe, P.2
  • 5
    • 0005045359 scopus 로고
    • On the coordination of product and by-product flows in two level distribution networks: Model formulation and solution procedures
    • 0812.90091 10.1016/0377-2217(94)90362-X
    • J.M. Bloemhof-Ruwaard M. Salomon L.N. Van Wassenhove 1994 On the coordination of product and by-product flows in two level distribution networks: model formulation and solution procedures Eur. J. Oper. Res. 79 325 339 0812.90091 10.1016/0377-2217(94)90362-X
    • (1994) Eur. J. Oper. Res. , vol.79 , pp. 325-339
    • Bloemhof-Ruwaard, J.M.1    Salomon, M.2    Van Wassenhove, L.N.3
  • 7
    • 0035508472 scopus 로고    scopus 로고
    • An approximation algorithm for the maximization version of the two level uncapacitated facility location problem
    • 0993.90066 10.1016/S0167-6377(01)00087-6 1876972
    • A. Bumb 2001 An approximation algorithm for the maximization version of the two level uncapacitated facility location problem Oper. Res. Lett. 29 155 161 0993.90066 10.1016/S0167-6377(01)00087-6 1876972
    • (2001) Oper. Res. Lett. , vol.29 , pp. 155-161
    • Bumb, A.1
  • 8
    • 0342936012 scopus 로고    scopus 로고
    • New facets for the set packing polytope
    • DOI 10.1016/S0167-6377(00)00056-0
    • L. Cánovas M. Landete A. Marín 2000 New facets for the set packing polytope Oper. Res. Lett. 27 4 153 161 1096.90548 10.1016/S0167-6377(00) 00056-0 1801625 (Pubitemid 32035500)
    • (2000) Operations Research Letters , vol.27 , Issue.4 , pp. 153-161
    • Canovas, L.1    Landete, M.2    Marin, A.3
  • 9
    • 0037288168 scopus 로고    scopus 로고
    • Facet obtaining procedures for set packing problems
    • 1029.05131 10.1137/S0895480100366786
    • L. Cánovas M. Landete A. Marín 2003 Facet obtaining procedures for set packing problems SIAM J. Discrete Math. 16 1 127 155 1029.05131 10.1137/S0895480100366786
    • (2003) SIAM J. Discrete Math. , vol.16 , Issue.1 , pp. 127-155
    • Cánovas, L.1    Landete, M.2    Marín, A.3
  • 10
    • 0033443067 scopus 로고    scopus 로고
    • Upper and lower bounds for the two-level simple plant location problem
    • 0918.90095 10.1023/A:1018942415824 1683477
    • P. Chardaire J.-L. Lutton A. Sutter 1999 Upper and lower bounds for the two-level simple plant location problem Ann. Oper. Res. 86 117 140 0918.90095 10.1023/A:1018942415824 1683477
    • (1999) Ann. Oper. Res. , vol.86 , pp. 117-140
    • Chardaire, P.1    Lutton, J.-L.2    Sutter, A.3
  • 11
    • 0000290511 scopus 로고    scopus 로고
    • Wheel inequalities for stable set polytopes
    • 1447564
    • E. Cheng W.H. Cunningham 1997 Wheel inequalities for stable set polytopes Math. Program. 77 389 421 1447564
    • (1997) Math. Program. , vol.77 , pp. 389-421
    • Cheng, E.1    Cunningham, W.H.2
  • 12
    • 0020849299 scopus 로고
    • On the uncapacitated plant location problem I: Valid inequalities and facets
    • 0536.90029 10.1287/moor.8.4.579 727413
    • D.C. Cho E.L. Johnson M.W. Padberg M.R. Rao 1983 On the uncapacitated plant location problem I: Valid inequalities and facets Math. Oper. Res. 8 4 579 589 0536.90029 10.1287/moor.8.4.579 727413
    • (1983) Math. Oper. Res. , vol.8 , Issue.4 , pp. 579-589
    • Cho, D.C.1    Johnson, E.L.2    Padberg, M.W.3    Rao, M.R.4
  • 13
    • 0027599437 scopus 로고
    • Dual-ascent procedures for multicommodity location-allocation problems with balancing requirements
    • 0788.90043 10.1287/trsc.27.2.90 1218608
    • T.G. Crainic L. Delorme 1993 Dual-ascent procedures for multicommodity location-allocation problems with balancing requirements Transp. Sci. 27 90 101 0788.90043 10.1287/trsc.27.2.90 1218608
    • (1993) Transp. Sci. , vol.27 , pp. 90-101
    • Crainic, T.G.1    Delorme, L.2
  • 14
    • 0041908677 scopus 로고
    • Site location via mixed-integer programming
    • 0231.90027 10.1057/jors.1972.4
    • D.G. Elson 1972 Site location via mixed-integer programming Oper. Res. Q. 23 1 31 43 0231.90027 10.1057/jors.1972.4
    • (1972) Oper. Res. Q. , vol.23 , Issue.1 , pp. 31-43
    • Elson, D.G.1
  • 15
    • 84989685335 scopus 로고
    • A dual-based optimization procedure for the two-echelon uncapacitated facility location problem
    • 0773.90042 10.1002/1520-6750(199203)39:2<191::AID-NAV3220390205>3. 0.CO;2-T
    • L.-L. Gao E.P. Robinson Jr. 1992 A dual-based optimization procedure for the two-echelon uncapacitated facility location problem Nav. Res. Logist. 39 191 212 0773.90042 10.1002/1520-6750(199203)39:2<191::AID-NAV3220390205>3.0. CO;2-T
    • (1992) Nav. Res. Logist. , vol.39 , pp. 191-212
    • Gao, L.-L.1    Robinson, Jr.E.P.2
  • 16
    • 0028486035 scopus 로고
    • Uncapacitated facility location: General solution procedure and computational experience
    • 0810.90085 10.1016/0377-2217(94)90277-1
    • L.-L. Gao E.P. Robinson Jr. 1994 Uncapacitated facility location: General solution procedure and computational experience Eur. J. Oper. Res. 76 410 427 0810.90085 10.1016/0377-2217(94)90277-1
    • (1994) Eur. J. Oper. Res. , vol.76 , pp. 410-427
    • Gao, L.-L.1    Robinson, Jr.E.P.2
  • 17
    • 0029514187 scopus 로고
    • A branch-and-bound algorithm for depot location and container fleet management
    • DOI 10.1016/0966-8349(95)00005-3
    • B. Gendron T.G. Crainic 1995 A branch-and-bound algorithm for depot location and container fleet management Location Sci. 3 39 53 0917.90227 10.1016/0966-8349(95)00005-3 (Pubitemid 26432193)
    • (1995) Location Science , vol.3 , Issue.1 , pp. 39-53
    • Gendron, B.1    Crainic, T.G.2
  • 18
    • 0031233754 scopus 로고    scopus 로고
    • A parallel branch-and-bound algorithm for multicommodity location with balancing requirements
    • 0893.90116 10.1016/S0305-0548(96)00094-9 1461412
    • B. Gendron T.G. Crainic 1997 A parallel branch-and-bound algorithm for multicommodity location with balancing requirements Comput. Oper. Res. 24 829 847 0893.90116 10.1016/S0305-0548(96)00094-9 1461412
    • (1997) Comput. Oper. Res. , vol.24 , pp. 829-847
    • Gendron, B.1    Crainic, T.G.2
  • 19
    • 0015973449 scopus 로고
    • Multicommodity distribution system design by Benders decomposition
    • 0304.90122 10.1287/mnsc.20.5.822 329614
    • A.M. Geoffrion G.W. Graves 1974 Multicommodity distribution system design by Benders decomposition Manag. Sci. 20 822 844 0304.90122 10.1287/mnsc.20.5. 822 329614
    • (1974) Manag. Sci. , vol.20 , pp. 822-844
    • Geoffrion, A.M.1    Graves, G.W.2
  • 20
    • 0004660629 scopus 로고
    • Fractional vertices, cuts and facets of the simple plant location problem
    • 0439.90061 571861
    • M. Guignard 1980 Fractional vertices, cuts and facets of the simple plant location problem Math. Progam. Study 12 150 162 0439.90061 571861
    • (1980) Math. Progam. Study , vol.12 , pp. 150-162
    • Guignard, M.1
  • 21
    • 0033873699 scopus 로고    scopus 로고
    • Multiperiod two-echelon multicommodity capacitated plant location problem
    • DOI 10.1016/S0377-2217(99)00256-8
    • Y. Hinojosa J. Puerto F.R. Fernández 2000 A multiperiod two-echelon multicommodity capacitated plant location problem Eur. J. Oper. Res. 123 271 291 0967.90069 10.1016/S0377-2217(99)00256-8 (Pubitemid 30596945)
    • (2000) European Journal of Operational Research , vol.123 , Issue.2 , pp. 271-291
    • Hinojosa, Y.1    Puerto, J.2    Fernandez, F.R.3
  • 22
    • 0017675486 scopus 로고
    • A plant and warehouse location problem
    • 0375.90074 10.1057/jors.1977.104
    • L. Kaufman M.V. Eede P. Hansen 1977 A plant and warehouse location problem Oper. Res. Q. 28 547 554 0375.90074 10.1057/jors.1977.104
    • (1977) Oper. Res. Q. , vol.28 , pp. 547-554
    • Kaufman, L.1    Eede, M.V.2    Hansen, P.3
  • 23
    • 0022128704 scopus 로고
    • A large-scale distribution and location model
    • J.G. Klincewicz 1985 A large-scale distribution and location model ATT Techn. J. 64 7 1705 1730
    • (1985) ATT Techn. J. , vol.64 , Issue.7 , pp. 1705-1730
    • Klincewicz, J.G.1
  • 24
    • 0033075661 scopus 로고    scopus 로고
    • An LP-based heuristic for two-stage capacitated facility location problems
    • 1054.90590 10.1057/palgrave.jors.2600675
    • A. Klose 1999 An LP-based heuristic for two-stage capacitated facility location problems J. Oper. Res. Soc. 50 157 166 1054.90590 10.1057/palgrave. jors.2600675
    • (1999) J. Oper. Res. Soc. , vol.50 , pp. 157-166
    • Klose, A.1
  • 25
    • 0034675410 scopus 로고    scopus 로고
    • A Lagrangean relax-and-cut approach for the two-stage capacitated facility location problem
    • 0971.90043 10.1016/S0377-2217(99)00300-8 1785805
    • A. Klose 2000 A Lagrangean relax-and-cut approach for the two-stage capacitated facility location problem Eur. J. Oper. Res. 126 408 421 0971.90043 10.1016/S0377-2217(99)00300-8 1785805
    • (2000) Eur. J. Oper. Res. , vol.126 , pp. 408-421
    • Klose, A.1
  • 26
    • 33845934980 scopus 로고    scopus 로고
    • Lower bounds for the two-stage uncapacitated facility location problem
    • DOI 10.1016/j.ejor.2005.04.052, PII S0377221706000816
    • A. Marín 2007 Lower bounds for the two-stage uncapacitated facility location problem Eur. J. Oper. Res. 179 1126 1142 1163.90608 10.1016/j.ejor.2005.04.052 (Pubitemid 46038600)
    • (2007) European Journal of Operational Research , vol.179 , Issue.3 , pp. 1126-1142
    • Marin, A.1
  • 27
    • 0031191629 scopus 로고    scopus 로고
    • A branch-and-bound algorithm for the transportation problem with location of p transshipment points
    • 10.1016/S0305-0548(96)00078-0
    • A. Marín B. Pelegrín 1997 A branch-and-bound algorithm for the transportation problem with location of p transshipment points Comput. Oper. Res. 7 659 678 10.1016/S0305-0548(96)00078-0
    • (1997) Comput. Oper. Res. , vol.7 , pp. 659-678
    • Marín, A.1    Pelegrín, B.2
  • 28
    • 0031647393 scopus 로고    scopus 로고
    • The return plant location problem: Modelling and resolution
    • 0955.90062 10.1016/S0377-2217(97)00192-6
    • A. Marín B. Pelegrín 1998 The return plant location problem: Modelling and resolution Eur. J. Oper. Res. 104 2 375 392 0955.90062 10.1016/S0377-2217(97)00192-6
    • (1998) Eur. J. Oper. Res. , vol.104 , Issue.2 , pp. 375-392
    • Marín, A.1    Pelegrín, B.2
  • 29
    • 0033438671 scopus 로고    scopus 로고
    • Applying Lagrangean relaxation to the resolution of two-stage location problems
    • 0921.90104 10.1023/A:1018998500803 1683410
    • A. Marín B. Pelegrín 1999 Applying Lagrangean relaxation to the resolution of two-stage location problems Ann. Oper. Res. 86 179 198 0921.90104 10.1023/A:1018998500803 1683410
    • (1999) Ann. Oper. Res. , vol.86 , pp. 179-198
    • Marín, A.1    Pelegrín, B.2
  • 30
    • 84974859780 scopus 로고
    • A profit-maximizing plant-loading model with demand fill-rate constraints
    • 0684.90045 10.1057/jors.1989.175
    • S. Moon 1989 A profit-maximizing plant-loading model with demand fill-rate constraints J. Oper. Res. Soc. 40 11 1019 1027 0684.90045 10.1057/jors.1989.175
    • (1989) J. Oper. Res. Soc. , vol.40 , Issue.11 , pp. 1019-1027
    • Moon, S.1
  • 31
    • 0016028005 scopus 로고
    • Properties of vertex packing and independence system polyhedra
    • 0281.90072 10.1007/BF01580222 379294
    • G.L. Nemhauser L.E. Trotter Jr. 1974 Properties of vertex packing and independence system polyhedra Math. Program. 6 48 61 0281.90072 10.1007/BF01580222 379294
    • (1974) Math. Program. , vol.6 , pp. 48-61
    • Nemhauser, G.L.1    Trotter, Jr.L.E.2
  • 32
    • 34250429350 scopus 로고
    • On the facial structure of set packing polyhedra
    • 0272.90041 10.1007/BF01580121 368749
    • M.W. Padberg 1973 On the facial structure of set packing polyhedra Math. Program. 5 199 215 0272.90041 10.1007/BF01580121 368749
    • (1973) Math. Program. , vol.5 , pp. 199-215
    • Padberg, M.W.1
  • 33
    • 0000214393 scopus 로고
    • A note on zero-one programming
    • 0311.90053 10.1287/opre.23.4.833 411622
    • M.W. Padberg 1975 A note on zero-one programming Oper. Res. 23 833 837 0311.90053 10.1287/opre.23.4.833 411622
    • (1975) Oper. Res. , vol.23 , pp. 833-837
    • Padberg, M.W.1
  • 34
    • 0000759724 scopus 로고
    • On the complexity of set packing polyhedra
    • 10.1016/S0167-5060(08)70750-7 680798
    • M.W. Padberg 1977 On the complexity of set packing polyhedra Ann. Discrete Math. 1 421 434 10.1016/S0167-5060(08)70750-7 680798
    • (1977) Ann. Discrete Math. , vol.1 , pp. 421-434
    • Padberg, M.W.1
  • 35
    • 0030287750 scopus 로고    scopus 로고
    • Production, transportation, and distribution planning in a multi-commodity tri-echelon system
    • 0879.90129 10.1287/trsc.30.4.291
    • H. Pirkul V. Jayaraman 1996 Production, transportation, and distribution planning in a multi-commodity tri-echelon system Transp. Sci. 30 4 291 302 0879.90129 10.1287/trsc.30.4.291
    • (1996) Transp. Sci. , vol.30 , Issue.4 , pp. 291-302
    • Pirkul, H.1    Jayaraman, V.2
  • 36
    • 0032188469 scopus 로고    scopus 로고
    • A multi-commodity, multi-plant, capacitated facility location problem: Formulation and efficient heuristic solution
    • 1042.90580 10.1016/S0305-0548(97)00096-8 1657068
    • H. Pirkul V. Jayaraman 1998 A multi-commodity, multi-plant, capacitated facility location problem: formulation and efficient heuristic solution Comput. Oper. Res. 25 10 869 878 1042.90580 10.1016/S0305-0548(97)00096-8 1657068
    • (1998) Comput. Oper. Res. , vol.25 , Issue.10 , pp. 869-878
    • Pirkul, H.1    Jayaraman, V.2
  • 37
    • 0021598237 scopus 로고
    • Branch and bound algorithm for the two-level uncapacitated facility location problem with some side constraints
    • DOI 10.1016/0377-2217(84)90156-5
    • H. Ro D. Tcha 1984 A branch and bound algorithm for the two-level uncapacitated facility location problem with some side constraints Eur. J. Oper. Res. 18 349 358 0555.90036 10.1016/0377-2217(84)90156-5 810303 (Pubitemid 15425028)
    • (1984) European Journal of Operational Research , vol.18 , Issue.3 , pp. 349-358
    • Ro Hyung-bong1    Tcha Dong-wan2
  • 38
    • 0031276407 scopus 로고    scopus 로고
    • Lagrangian heuristics for the two-echelon, single-source, capacitated facility location problem
    • 0951.90561 10.1016/S0377-2217(96)00227-5
    • S. Tragantalerngsak J. Holt M. Ronnqvist 1997 Lagrangian heuristics for the two-echelon, single-source, capacitated facility location problem Eur. J. Oper. Res. 102 611 625 0951.90561 10.1016/S0377-2217(96)00227-5
    • (1997) Eur. J. Oper. Res. , vol.102 , pp. 611-625
    • Tragantalerngsak, S.1    Holt, J.2    Ronnqvist, M.3
  • 39
    • 0000662646 scopus 로고
    • A class of facet producing graphs for vertex packing polyhedra
    • 0314.05111 10.1016/0012-365X(75)90077-1 398908
    • L.E. Trotter 1975 A class of facet producing graphs for vertex packing polyhedra Discrete Math. 12 373 388 0314.05111 10.1016/0012-365X(75)90077-1 398908
    • (1975) Discrete Math. , vol.12 , pp. 373-388
    • Trotter, L.E.1


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