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Volumn 60, Issue 5, 2012, Pages 1167-1182

Cut-first branch-and-price-second for the capacitated arc-routing problem

Author keywords

Integer programming: cutting plane and branch and price algorithm; Transportation: vehicle routing

Indexed keywords

ARC ROUTING PROBLEMS; BRANCH AND PRICE; BRANCH-AND-PRICE ALGORITHMS; CUTTING PLANES; DANTZIG-WOLFE DECOMPOSITION; EDGE FLOW; EXACT SOLUTION; INHERENT SYMMETRY; INTEGER SOLUTIONS; LOWER BOUNDS; MASTER PROGRAMS; POTENTIAL SOLUTIONS; SECOND PHASE; UNDERLYING NETWORKS;

EID: 84869860246     PISSN: 0030364X     EISSN: 15265463     Source Type: Journal    
DOI: 10.1287/opre.1120.1079     Document Type: Article
Times cited : (50)

References (41)
  • 1
    • 67349120844 scopus 로고    scopus 로고
    • Ph.D. thesis, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
    • Ahr D (2004) Contributions to multiple postmen problems. Ph.D. thesis, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany.
    • (2004) Contributions to Multiple Postmen Problems
    • Ahr, D.1
  • 3
    • 33645298466 scopus 로고    scopus 로고
    • Exact methods based on node-routing formulations for undirected arc-routing problems
    • Baldacci R, Maniezzo V (2006) Exact methods based on node-routing formulations for undirected arc-routing problems. Networks 47(1):52-60.
    • (2006) Networks , vol.47 , Issue.1 , pp. 52-60
    • Baldacci, R.1    Maniezzo, V.2
  • 7
    • 0032070222 scopus 로고    scopus 로고
    • The capacitated arc routing problem: Valid inequalities and facets
    • Belenguer JM, Benavent E (1998) The capacitated arc routing problem: Valid inequalities and facets. Comput. Optim. Appl. 10(2):165-187.
    • (1998) Comput. Optim. Appl. , vol.10 , Issue.2 , pp. 165-187
    • Belenguer, J.M.1    Benavent, E.2
  • 8
    • 0037393086 scopus 로고    scopus 로고
    • A cutting plane algorithm for the capacitated arc routing problem
    • Belenguer JM, Benavent E (2003) A cutting plane algorithm for the capacitated arc routing problem. Comput. Oper. Res. 30:705-728.
    • (2003) Comput. Oper. Res. , vol.30 , pp. 705-728
    • Belenguer, J.M.1    Benavent, E.2
  • 9
    • 33744808320 scopus 로고    scopus 로고
    • Dual-optimal inequalities for stabilized column generation
    • Ben Amor H, Desrosiers J, de Carvalho JMV (2006) Dual-optimal inequalities for stabilized column generation. Oper. Res. 54(3): 454-463.
    • (2006) Oper. Res. , vol.54 , Issue.3 , pp. 454-463
    • Ben Amor, H.1    Desrosiers, J.2    De Carvalho, J.M.V.3
  • 10
    • 21144460871 scopus 로고
    • The capacitated arc routing problem: Lower bounds
    • Benavent E, Campos V, Corberán A, Mota E (1992) The capacitated arc routing problem: Lower bounds. Networks 22(7):669-690.
    • (1992) Networks , vol.22 , Issue.7 , pp. 669-690
    • Benavent, E.1    Campos, V.2    Corberán, A.3    Mota, E.4
  • 12
    • 35248873900 scopus 로고    scopus 로고
    • A deterministic tabu search algorithm for the capacitated arc routing problem
    • Brandão J, Eglese R (2008) A deterministic tabu search algorithm for the capacitated arc routing problem. Comput. Oper Res. 35(4):1112-1126.
    • (2008) Comput. Oper Res. , vol.35 , Issue.4 , pp. 1112-1126
    • Brandão, J.1    Eglese, R.2
  • 13
    • 77955444898 scopus 로고    scopus 로고
    • Recent results on arc routing problems: An annotated bibliography
    • Corberán A, Prins C (2010) Recent results on arc routing problems: An annotated bibliography. Networks 56(1):50-69.
    • (2010) Networks , vol.56 , Issue.1 , pp. 50-69
    • Corberán, A.1    Prins, C.2
  • 15
    • 70449635850 scopus 로고    scopus 로고
    • Tabu search, partial elementarity, and generalized k-path inequalities for the vehicle routing problem with time windows
    • Desaulniers G, Lessard F, Hadjar A (2008) Tabu search, partial elementarity, and generalized k-path inequalities for the vehicle routing problem with time windows. Transportation Sci. 42(3):387-404.
    • (2008) Transportation Sci. , vol.42 , Issue.3 , pp. 387-404
    • Desaulniers, G.1    Lessard, F.2    Hadjar, A.3
  • 18
    • 0026945806 scopus 로고
    • Efficient routeing for winter gritting
    • Eglese RW, Li LYO (1992) Efficient routeing for winter gritting. J. Oper Res. Soc. 43(11):1031-1034.
    • (1992) J. Oper Res. Soc. , vol.43 , Issue.11 , pp. 1031-1034
    • Eglese, R.W.1    Li, L.Y.O.2
  • 19
    • 4644250559 scopus 로고    scopus 로고
    • An exact algorithm for the elementary shortest path problem with resource constraints: Application to some vehicle routing problems
    • Feillet D, Dejax P, Gendreau M, Guéguen C (2004) An exact algorithm for the elementary shortest path problem with resource constraints: Application to some vehicle routing problems. Networks 44(3):216-229.
    • (2004) Networks , vol.44 , Issue.3 , pp. 216-229
    • Feillet, D.1    Dejax, P.2    Gendreau, M.3    Guéguen, C.4
  • 21
    • 0019609540 scopus 로고
    • Capacitated arc routing problems
    • Golden BL, Wong RT (1981) Capacitated arc routing problems. Networks 11:305-315.
    • (1981) Networks , vol.11 , pp. 305-315
    • Golden, B.L.1    Wong, R.T.2
  • 22
    • 85037548981 scopus 로고    scopus 로고
    • Cutting plane and column generation for the capacitated arc routing problem
    • Valencia, Spain
    • Gómez-Cabrero D, Belenguer JM, Benavent E (2005) Cutting plane and column generation for the capacitated arc routing problem. Presented at ORP3, Valencia, Spain.
    • (2005) Presented at ORP3
    • Gómez-Cabrero, D.1    Belenguer, J.M.2    Benavent, E.3
  • 23
    • 0033718405 scopus 로고    scopus 로고
    • A tabu search heuristic for the capacitated arc routing problem
    • Hertz A, Laporte G, Mittaz M (2000) A tabu search heuristic for the capacitated arc routing problem. Oper Res. 48(1):129-135.
    • (2000) Oper Res. , vol.48 , Issue.1 , pp. 129-135
    • Hertz, A.1    Laporte, G.2    Mittaz, M.3
  • 24
    • 0346061790 scopus 로고
    • The travelling salesman problem as a constrained shortest path problem: Theory and computational experience
    • Houck DJ, Picard JC, Queyranne M, Vemuganti RR (1980) The travelling salesman problem as a constrained shortest path problem: Theory and computational experience. Opsearch 17:93-109.
    • (1980) Opsearch , vol.17 , pp. 93-109
    • Houck, D.J.1    Picard, J.C.2    Queyranne, M.3    Vemuganti, R.R.4
  • 25
    • 84889973397 scopus 로고    scopus 로고
    • Shortest path problems with resource constraints
    • Desaulniers G, Desrosiers J, Solomon MM, eds Springer, New York
    • Irnich S, Desaulniers G (2005) Shortest path problems with resource constraints. Desaulniers G, Desrosiers J, Solomon MM, eds. Column Generation (Springer, New York), 33-65.
    • (2005) Column Generation , pp. 33-65
    • Irnich, S.1    Desaulniers, G.2
  • 26
    • 33748591592 scopus 로고    scopus 로고
    • The shortest path problem with resource constraints and k-cycle elimination for k ^ 3
    • Irnich S, Villeneuve D (2006) The shortest path problem with resource constraints and k-cycle elimination for k ^ 3. INFORMS J. Comput. 18(3):391-406.
    • (2006) INFORMS J. Comput. , vol.18 , Issue.3 , pp. 391-406
    • Irnich, S.1    Villeneuve, D.2
  • 27
    • 61449183550 scopus 로고    scopus 로고
    • Subset-row inequalities applied to the vehicle-routing problem with time windows
    • Jepsen M, Petersen B, Spoorendonk S, Pisinger D (2008) Subset-row inequalities applied to the vehicle-routing problem with time windows. Oper Res. 56(2):497-511.
    • (2008) Oper Res. , vol.56 , Issue.2 , pp. 497-511
    • Jepsen, M.1    Petersen, B.2    Spoorendonk, S.3    Pisinger, D.4
  • 28
    • 84958045958 scopus 로고    scopus 로고
    • A genetic algorithm for the capacitated arc routing problem and its extensions
    • Boers EJW, Cagnoni S, Gottlieb J, Hart E, Luca Lanzi P, Raidl G, Smith RE, Tijink H, eds Springer-Verlag, Berlin
    • Lacomme P, Prins C, Ramdane-Chérif W (2001) A genetic algorithm for the capacitated arc routing problem and its extensions. Boers EJW, Cagnoni S, Gottlieb J, Hart E, Luca Lanzi P, Raidl G, Smith RE, Tijink H, eds. Appl. Evolutionary Comput. EvoWorkshops2001: Evo-COP, EvoFlight, EvoIASP, EvoLearn, and EvoSTIM. Proc., LNCS, Vol. 2037 (Springer-Verlag, Berlin), 473-483.
    • (2001) Appl. Evolutionary Comput EvoWorkshops2001: Evo-COP, EvoFlight, EvoIASP, EvoLearn, and EvoSTIM. Proc., LNCS , vol.2037 , pp. 473-483
    • Lacomme, P.1    Prins, C.2    Ramdane-Chérif, W.3
  • 30
    • 57649233522 scopus 로고    scopus 로고
    • Exploiting sparsity in pricing routines for the capacitated arc routing problem
    • Letchford AN, Oukil A (2009) Exploiting sparsity in pricing routines for the capacitated arc routing problem. Comput. Oper. Res. 36(7):2320-2327.
    • (2009) Comput. Oper. Res. , vol.36 , Issue.7 , pp. 2320-2327
    • Letchford, A.N.1    Oukil, A.2
  • 32
    • 27344446543 scopus 로고    scopus 로고
    • Solving capacitated arc routing problems using a transformation to the CVRP
    • Longo H, de Aragão MP, Uchoa E (2006) Solving capacitated arc routing problems using a transformation to the CVRP. Comput. Oper. Res. 33(6):1823-1837.
    • (2006) Comput. Oper. Res. , vol.33 , Issue.6 , pp. 1823-1837
    • Longo, H.1    De Aragão, M.P.2    Uchoa, E.3
  • 33
    • 30344453380 scopus 로고    scopus 로고
    • Selected topics in column generation
    • Lübbecke ME, Desrosiers J (2005) Selected topics in column generation. Oper. Res. 53(6):1007-1023.
    • (2005) Oper. Res. , vol.53 , Issue.6 , pp. 1007-1023
    • Lübbecke, M.E.1    Desrosiers, J.2
  • 34
    • 21144444352 scopus 로고    scopus 로고
    • A new branch-and-cut algorithm for the capacitated vehicle routing problem
    • Lysgaard J, Letchford AN, Eglese RW (2004) A new branch-and-cut algorithm for the capacitated vehicle routing problem. Math. Programming 100(2):423-445.
    • (2004) Math. Programming , vol.100 , Issue.2 , pp. 423-445
    • Lysgaard, J.1    Letchford, A.N.2    Eglese, R.W.3
  • 36
    • 0023169907 scopus 로고
    • Transforming arc routing into node routing problems
    • Pearn WL, Assad A, Golden BL (1987) Transforming arc routing into node routing problems. Comput. Oper. Res. 14(4):285-288.
    • (1987) Comput. Oper. Res. , vol.14 , Issue.4 , pp. 285-288
    • Pearn, W.L.1    Assad, A.2    Golden, B.L.3
  • 37
    • 51649106804 scopus 로고    scopus 로고
    • A variable neighborhood search for the capacitated arc routing problem with intermediate facilities
    • Polacek M, Doerner KF, Hartl RF, Maniezzo V (2008) A variable neighborhood search for the capacitated arc routing problem with intermediate facilities. J. Heuristics 14(5):405-423.
    • (2008) J. Heuristics , vol.14 , Issue.5 , pp. 405-423
    • Polacek, M.1    Doerner, K.F.2    Hartl, R.F.3    Maniezzo, V.4
  • 39
    • 73349137288 scopus 로고    scopus 로고
    • An improved ant colony optimization based algorithm for the capacitated arc routing problem
    • Santos L, Coutinho-Rodrigues J, Current JR (2010) An improved ant colony optimization based algorithm for the capacitated arc routing problem. Transportation Res. B 44(2):246-266.
    • (2010) Transportation Res. B , vol.44 , Issue.2 , pp. 246-266
    • Santos, L.1    Coutinho-Rodrigues, J.2    Current, J.R.3
  • 41
    • 12344326719 scopus 로고    scopus 로고
    • The shortest path problem with forbidden paths
    • Villeneuve D, Desaulniers G (2005) The shortest path problem with forbidden paths. Eur. J. Oper. Res. 165(1):97-107.
    • (2005) Eur. J. Oper. Res. , vol.165 , Issue.1 , pp. 97-107
    • Villeneuve, D.1    Desaulniers, G.2


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