메뉴 건너뛰기




Volumn 19, Issue 5, 2011, Pages 723-740

A branch-and-cut-and-price algorithm for the multi-depot heterogeneous vehicle routing problem with time windows

Author keywords

Column generation; Cutting planes; Vehicle routing

Indexed keywords

COSTS; HEURISTIC METHODS; INTEGER PROGRAMMING; LINEAR PROGRAMMING; ROUTING ALGORITHMS; VEHICLE ROUTING; VEHICLES;

EID: 79955967127     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2010.07.008     Document Type: Article
Times cited : (138)

References (38)
  • 1
    • 85029829141 scopus 로고    scopus 로고
    • Constraint Integer Programming. PhD thesis, Technische Universität Berlin.
    • Achterberg, T., 2007. Constraint Integer Programming. PhD thesis, Technische Universität Berlin.
    • (2007)
    • Achterberg, T.1
  • 2
    • 45149121178 scopus 로고    scopus 로고
    • An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts
    • Baldacci R., Christofides N., Mingozzi A. An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts. Mathematical Programming 2007, 115:351-385.
    • (2007) Mathematical Programming , vol.115 , pp. 351-385
    • Baldacci, R.1    Christofides, N.2    Mingozzi, A.3
  • 3
    • 67349235349 scopus 로고    scopus 로고
    • A unified exact method for solving different classes of vehicle routing problems
    • Baldacci R., Mingozzi A. A unified exact method for solving different classes of vehicle routing problems. Mathematical Programming 2009, 120(2):347-380.
    • (2009) Mathematical Programming , vol.120 , Issue.2 , pp. 347-380
    • Baldacci, R.1    Mingozzi, A.2
  • 4
    • 44849096579 scopus 로고    scopus 로고
    • Scatter search for the fleet size and mix vehicle routing problem with time windows
    • Belfiore P.P., Fávero L.P.L. Scatter search for the fleet size and mix vehicle routing problem with time windows. Central European Journal of Operations Research 2007, 15:351-368.
    • (2007) Central European Journal of Operations Research , vol.15 , pp. 351-368
    • Belfiore, P.P.1    Fávero, L.P.L.2
  • 5
    • 85029834374 scopus 로고    scopus 로고
    • Timo Berthold, Primal Heuristics for Mixed Integer Programs. Master's thesis, Technische Universität Berlin.
    • Timo Berthold, 2006. Primal Heuristics for Mixed Integer Programs. Master's thesis, Technische Universität Berlin.
    • (2006)
  • 6
    • 85029836994 scopus 로고    scopus 로고
    • A Branch-and-price Algorithm for the Multi-depot Heterogeneous Fleet Vehicle Routing Problem with Time Windows, AIRO Winter.
    • Bettinelli, A., Ceselli, A., Righini, G., 2009. A Branch-and-price Algorithm for the Multi-depot Heterogeneous Fleet Vehicle Routing Problem with Time Windows, AIRO Winter.
    • (2009)
    • Bettinelli, A.1    Ceselli, A.2    Righini, G.3
  • 7
    • 70449913277 scopus 로고    scopus 로고
    • A column generation algorithm for a rich vehicle-routing problem
    • Ceselli A., Righini G., Salani M. A column generation algorithm for a rich vehicle-routing problem. Transportation Science 2009, 43(1):56-69.
    • (2009) Transportation Science , vol.43 , Issue.1 , pp. 56-69
    • Ceselli, A.1    Righini, G.2    Salani, M.3
  • 8
    • 32044469861 scopus 로고    scopus 로고
    • Vehicle routing problem with elementary shortest path based column generation
    • Chabrier A. Vehicle routing problem with elementary shortest path based column generation. Computers and Operations Research 2006, 33(10):2972-2990.
    • (2006) Computers and Operations Research , vol.33 , Issue.10 , pp. 2972-2990
    • Chabrier, A.1
  • 9
    • 0019572341 scopus 로고
    • State-space relaxation procedures for the computation of bounds to routing problems
    • Christofides N., Mingozzi A., Toth P. State-space relaxation procedures for the computation of bounds to routing problems. Networks 1981, 11:145-164.
    • (1981) Networks , vol.11 , pp. 145-164
    • Christofides, N.1    Mingozzi, A.2    Toth, P.3
  • 11
    • 70449652437 scopus 로고    scopus 로고
    • Heuristic approaches for the fleet size and mix vehicle routing problem with time windows
    • Dell'Amico M., Monaci M., Pagani C., Vigo D. Heuristic approaches for the fleet size and mix vehicle routing problem with time windows. Transportation Science 2007, 41(4):516-526.
    • (2007) Transportation Science , vol.41 , Issue.4 , pp. 516-526
    • Dell'Amico, M.1    Monaci, M.2    Pagani, C.3    Vigo, D.4
  • 13
    • 33749994678 scopus 로고    scopus 로고
    • A cluster-based optimization approach for the multi-depot heterogeneous fleet vehicle routing problem with time windows
    • Dondo R., Cerdá J. A cluster-based optimization approach for the multi-depot heterogeneous fleet vehicle routing problem with time windows. European Journal of Operational Research 2007, 176:1478-1507.
    • (2007) European Journal of Operational Research , vol.176 , pp. 1478-1507
    • Dondo, R.1    Cerdá, J.2
  • 14
    • 58249083726 scopus 로고    scopus 로고
    • A hybrid local improvement algorithm for large-scale multi-depot vehicle routing problems with time windows
    • Dondo R., Cerdá J. A hybrid local improvement algorithm for large-scale multi-depot vehicle routing problems with time windows. Computers & Chemical Engineering. 2009, 33(2):513-530.
    • (2009) Computers & Chemical Engineering. , vol.33 , Issue.2 , pp. 513-530
    • Dondo, R.1    Cerdá, J.2
  • 15
    • 85029836881 scopus 로고    scopus 로고
    • Performance of Various Computers using Standard Linear Equations Software. Technical Report, University of Tennessee.
    • Dongarra, J.J., 2009. Performance of Various Computers using Standard Linear Equations Software. Technical Report, University of Tennessee. http://www.netlib.org/benchmark/performance.ps.
    • (2009)
    • Dongarra, J.J.1
  • 16
    • 0001661962 scopus 로고
    • Note on the complexity of the shortest path models for column generation in VRPTW
    • Dror M. Note on the complexity of the shortest path models for column generation in VRPTW. Operations Research 1994, 42:977-978.
    • (1994) Operations Research , vol.42 , pp. 977-978
    • Dror, M.1
  • 18
    • 79955959125 scopus 로고
    • An optimal algorithm for the travelling salesman problem with time windows
    • Dumas Y., Desrosiers J., Gelinas E., Solomon M.M. An optimal algorithm for the travelling salesman problem with time windows. Operations Research 1994, 42:626-642.
    • (1994) Operations Research , vol.42 , pp. 626-642
    • Dumas, Y.1    Desrosiers, J.2    Gelinas, E.3    Solomon, M.M.4
  • 19
    • 4644250559 scopus 로고    scopus 로고
    • An exact algorithm for the elementary shortest path with resource constraints: application to some vehicle routing problems
    • Feillet D., Dejax P., Gendreau M., Gueguen C. An exact algorithm for the elementary shortest path with resource constraints: application to some vehicle routing problems. Networks 2004, 44:216-229.
    • (2004) Networks , vol.44 , pp. 216-229
    • Feillet, D.1    Dejax, P.2    Gendreau, M.3    Gueguen, C.4
  • 23
    • 36348987653 scopus 로고    scopus 로고
    • Formulations and exact algorithms for the vehicle routing problem with time windows
    • Kallehauge B. Formulations and exact algorithms for the vehicle routing problem with time windows. Computers and Operations Research 2008, 35(7):2307-2330.
    • (2008) Computers and Operations Research , vol.35 , Issue.7 , pp. 2307-2330
    • Kallehauge, B.1
  • 24
    • 34548209621 scopus 로고    scopus 로고
    • Path inequalities for the vehicle routing problem with time windows
    • Kallehauge B., Boland N., Madsen O.B.G. Path inequalities for the vehicle routing problem with time windows. Networks 2007, 49(4):273-293.
    • (2007) Networks , vol.49 , Issue.4 , pp. 273-293
    • Kallehauge, B.1    Boland, N.2    Madsen, O.B.G.3
  • 27
    • 0022128780 scopus 로고
    • Optimal routing under capacity and distance restrictions
    • Laporte G., Norbert Y., Desrochers M. Optimal routing under capacity and distance restrictions. Operations Research 1985, 33:1050-1073.
    • (1985) Operations Research , vol.33 , pp. 1050-1073
    • Laporte, G.1    Norbert, Y.2    Desrochers, M.3
  • 28
    • 0032679511 scopus 로고    scopus 로고
    • The fleet size and mix vehicle routing problem with time windows
    • Liu F.H., Shen S.Y. The fleet size and mix vehicle routing problem with time windows. Journal of the Operational Research Society 1999, 50:721-732.
    • (1999) Journal of the Operational Research Society , vol.50 , pp. 721-732
    • Liu, F.H.1    Shen, S.Y.2
  • 30
    • 71949102000 scopus 로고    scopus 로고
    • A robust branch-and-cut-and-price algorithm for the heterogeneous fleet vehicle routing problem
    • Pessoa A., Poggi de Aragão M., Uchoa E. A robust branch-and-cut-and-price algorithm for the heterogeneous fleet vehicle routing problem. Networks 2009, 54(4):167-177.
    • (2009) Networks , vol.54 , Issue.4 , pp. 167-177
    • Pessoa, A.1    Poggi de Aragão, M.2    Uchoa, E.3
  • 31
    • 14844361815 scopus 로고    scopus 로고
    • A variable neighborhood search for the multidepot vehicle routing problem with time windows
    • Polacek M., Hartl Richard F., Doerner K., Reimann M. A variable neighborhood search for the multidepot vehicle routing problem with time windows. Journal of Heuristics 2004, 10:613-627.
    • (2004) Journal of Heuristics , vol.10 , pp. 613-627
    • Polacek, M.1    Hartl, R.F.2    Doerner, K.3    Reimann, M.4
  • 32
    • 17944369186 scopus 로고    scopus 로고
    • An internet-based logistics management system for enterprise chains
    • Prindezis N., Kiranoudis C.T. An internet-based logistics management system for enterprise chains. Journal of Food Engineering 2005, 70(3):373-381.
    • (2005) Journal of Food Engineering , vol.70 , Issue.3 , pp. 373-381
    • Prindezis, N.1    Kiranoudis, C.T.2
  • 33
    • 33746329306 scopus 로고    scopus 로고
    • Symmetry helps: bounded bi-directional dynamic programming for the elementary shortest path problem with resource constraints
    • Righini G., Salani M. Symmetry helps: bounded bi-directional dynamic programming for the elementary shortest path problem with resource constraints. Discrete Optimization 2006, 30(3):255-273.
    • (2006) Discrete Optimization , vol.30 , Issue.3 , pp. 255-273
    • Righini, G.1    Salani, M.2
  • 34
    • 51349129806 scopus 로고    scopus 로고
    • New dynamic programming algorithms for the resource constrained elementary shortest path problem
    • Righini G., Salani M. New dynamic programming algorithms for the resource constrained elementary shortest path problem. Networks 2008, 51:155-170.
    • (2008) Networks , vol.51 , pp. 155-170
    • Righini, G.1    Salani, M.2
  • 36
    • 85029832334 scopus 로고    scopus 로고
    • Branch-and-Price Algorithms for Vehicle Routing Problems. PhD thesis, Universita degli Studi di Milano.
    • Salani, M., 2006. Branch-and-Price Algorithms for Vehicle Routing Problems. PhD thesis, Universita degli Studi di Milano.
    • (2006)
    • Salani, M.1
  • 37
    • 43849091808 scopus 로고    scopus 로고
    • Implementing a multi-vehicle multi-route spatial decision support system for efficient trash collection in Portugal
    • Santos L., Coutinho-Rodrigues J., Current J.R. Implementing a multi-vehicle multi-route spatial decision support system for efficient trash collection in Portugal. Transportation Research Part A: Policy and Practice 2008, 42(6):922-934.
    • (2008) Transportation Research Part A: Policy and Practice , vol.42 , Issue.6 , pp. 922-934
    • Santos, L.1    Coutinho-Rodrigues, J.2    Current, J.R.3
  • 38
    • 0023313252 scopus 로고
    • Algorithms for the vehicle routing and scheduling problems with time windows constraints
    • Solomon M.M. Algorithms for the vehicle routing and scheduling problems with time windows constraints. Operations Research 1987, 35:254-265.
    • (1987) Operations Research , vol.35 , pp. 254-265
    • Solomon, M.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.