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Volumn 8, Issue 4, 2010, Pages 407-424

A tutorial on column generation and branch-and-price for vehicle routing problems

Author keywords

Branch and price; Column generation; Vehicle routing problem

Indexed keywords


EID: 78650306226     PISSN: 16194500     EISSN: 16142411     Source Type: Journal    
DOI: 10.1007/s10288-010-0130-z     Document Type: Article
Times cited : (119)

References (39)
  • 1
    • 63949084627 scopus 로고    scopus 로고
    • Recent advances in vehicle routing exact algorithms
    • Baldacci R, Toth P, Vigo D (2007) Recent advances in vehicle routing exact algorithms. 4OR 5(4): 269-298.
    • (2007) 4or , vol.5 , Issue.4 , pp. 269-298
    • Baldacci, R.1    Toth, P.2    Vigo, D.3
  • 2
    • 0036567019 scopus 로고    scopus 로고
    • A branch-and-cut procedure for the vehicle routing problem with time windows
    • Bard JF, Kontoravdis G, Yu G (2002) A branch-and-cut procedure for the vehicle routing problem with time windows. Transport Sci 36(2): 250-269.
    • (2002) Transport Sci , vol.36 , Issue.2 , pp. 250-269
    • Bard, J.F.1    Kontoravdis, G.2    Yu, G.3
  • 3
    • 28044459377 scopus 로고    scopus 로고
    • Accelerated label setting algorithms for the elementary resource constrained shortest path problem
    • Boland N, Dethridge J, Dumitrescu I (2006) Accelerated label setting algorithms for the elementary resource constrained shortest path problem. Oper Res Lett 34(1): 58-68.
    • (2006) Oper Res Lett , vol.34 , Issue.1 , pp. 58-68
    • Boland, N.1    Dethridge, J.2    Dumitrescu, I.3
  • 4
    • 34848923791 scopus 로고    scopus 로고
    • An exact algorithm for team orienteering problems
    • Boussier S, Feillet D, Gendreau M (2007) An exact algorithm for team orienteering problems. 4OR 5: 211-230.
    • (2007) 4or , vol.5 , pp. 211-230
    • Boussier, S.1    Feillet, D.2    Gendreau, M.3
  • 5
    • 16244364524 scopus 로고    scopus 로고
    • Vehicle routing problem with time windows, part i: route construction and local search algorithms
    • Braysy O, Gendreau M (2005a) Vehicle routing problem with time windows, part i: route construction and local search algorithms. Transport Sci 39(1): 104-118.
    • (2005) Transport Sci , vol.39 , Issue.1 , pp. 104-118
    • Braysy, O.1    Gendreau, M.2
  • 6
    • 16244404291 scopus 로고    scopus 로고
    • Vehicle routing problem with time windows, part ii: metaheuristics
    • Braysy O, Gendreau M (2005b) Vehicle routing problem with time windows, part ii: metaheuristics. Transport Sci 39(1): 119-139.
    • (2005) Transport Sci , vol.39 , Issue.1 , pp. 119-139
    • Braysy, O.1    Gendreau, M.2
  • 8
    • 32044469861 scopus 로고    scopus 로고
    • Vehicle routing problem with elementary shortest path based column generation
    • Chabrier A (2006) Vehicle routing problem with elementary shortest path based column generation. Comput Oper Res 33: 2972-2990.
    • (2006) Comput Oper Res , vol.33 , pp. 2972-2990
    • Chabrier, A.1
  • 11
    • 0041959626 scopus 로고    scopus 로고
    • Accelerating strategies in column generation methods for vehicle routing and crew scheduling problems
    • C. C. Ribeiro and P. Hansen (Eds.), Boston: Kluwer
    • Desaulniers G, Desrosiers J, Solomon MM (2001) Accelerating strategies in column generation methods for vehicle routing and crew scheduling problems. In: Ribeiro CC, Hansen P (eds) Essays and surveys in metaheuristics. Kluwer, Boston, pp 309-324.
    • (2001) Essays and Surveys in Metaheuristics , pp. 309-324
    • Desaulniers, G.1    Desrosiers, J.2    Solomon, M.M.3
  • 14
    • 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. Transport Sci 42(3): 387-404.
    • (2008) Transport Sci , vol.42 , Issue.3 , pp. 387-404
    • Desaulniers, G.1    Lessard, F.2    Hadjar, A.3
  • 15
    • 85042163696 scopus 로고
    • A new optimization algorithm for the vehicle routing problem with time windows
    • Desrochers M, Desrosiers J, Solomon MM (1992) A new optimization algorithm for the vehicle routing problem with time windows. Oper Res 40(2): 342-354.
    • (1992) Oper Res , vol.40 , Issue.2 , pp. 342-354
    • Desrochers, M.1    Desrosiers, J.2    Solomon, M.M.3
  • 16
    • 0001661962 scopus 로고
    • Note on the complexity of the shortest path models for column generation in VRPTW
    • Dror M (1994) Note on the complexity of the shortest path models for column generation in VRPTW. Oper Res 42(5): 977-978.
    • (1994) Oper Res , vol.42 , Issue.5 , pp. 977-978
    • Dror, M.1
  • 18
    • 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, Gueguen 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    Gueguen, C.4
  • 19
    • 0037289034 scopus 로고    scopus 로고
    • Generalized bundle methods
    • Frangioni A (2002) Generalized bundle methods. SIAM J Optim 13(1): 117-156.
    • (2002) SIAM J Optim , vol.13 , Issue.1 , pp. 117-156
    • Frangioni, A.1
  • 20
    • 0036817928 scopus 로고    scopus 로고
    • Convex nondifferentiable optimization: a survey focused on the analytic center cutting plane method
    • Goffin JL, Vial JP (2002) Convex nondifferentiable optimization: a survey focused on the analytic center cutting plane method. Optim Methods Softw 17(5): 805-867.
    • (2002) Optim Methods Softw , vol.17 , Issue.5 , pp. 805-867
    • Goffin, J.L.1    Vial, J.P.2
  • 21
    • 84889973397 scopus 로고    scopus 로고
    • Shortest path problems with resource constraints
    • Desaulniers, G, Desrosiers, J, Solomon, MM,Springer
    • Irnich S, Desaulniers G (2005) Shortest path problems with resource constraints. In: Desaulniers G, Desrosiers J, Solomon MM (eds) Column generation, GERAD 25th anniversary series, chap 2. Springer, pp 33-65.
    • (2005) Column generation, GERAD 25th anniversary series , vol.2 , pp. 33-65
    • Irnich, S.1    Desaulniers, G.2
  • 22
    • 33748591592 scopus 로고    scopus 로고
    • The shortest path problem with k-cycle elimination for k≥3
    • Irnich S, Villeneuve D (2006) The shortest path problem with k-cycle elimination for k≥3. Transport Sci 18(3): 391-406.
    • (2006) Transport Sci , vol.18 , Issue.3 , pp. 391-406
    • Irnich, S.1    Villeneuve, D.2
  • 23
    • 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
  • 24
    • 30344484961 scopus 로고    scopus 로고
    • Lagrangean duality applied on vehicle routing with time windows-experimental results
    • IMM, Technical University of Denmark
    • Kallehauge B, Larsen J, Madsen OBG (2001) Lagrangean duality applied on vehicle routing with time windows-experimental results. Technical report IMM-TR-2001-9, IMM, Technical University of Denmark.
    • (2001) Technical report IMM-TR-2001-9
    • Kallehauge, B.1    Larsen, J.2    Madsen, O.B.G.3
  • 25
    • 26444602999 scopus 로고    scopus 로고
    • Lagrangian duality applied to the vehicle routing problem with time windows
    • Kallehauge B, Larsen J, Madsen OBG (2006) Lagrangian duality applied to the vehicle routing problem with time windows. Comput Oper Res 33(5): 1464-1487.
    • (2006) Comput Oper Res , vol.33 , Issue.5 , pp. 1464-1487
    • Kallehauge, B.1    Larsen, J.2    Madsen, O.B.G.3
  • 26
    • 0001547779 scopus 로고
    • The cutting plane method for solving convex programs
    • Kelley JE (1960) The cutting plane method for solving convex programs. J SIAM 8: 703-712.
    • (1960) J SIAM , vol.8 , pp. 703-712
    • Kelley, J.E.1
  • 27
    • 0029184252 scopus 로고
    • A descent method with linear programming subproblems for nondifferentiable convex optimization
    • Kim S, Chang K-N, Lee J-Y (1995) A descent method with linear programming subproblems for nondifferentiable convex optimization. Math Program 71: 17-28.
    • (1995) Math Program , vol.71 , pp. 17-28
    • Kim, S.1    Chang, K.-N.2    Lee, J.-Y.3
  • 30
    • 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
  • 31
    • 0016509072 scopus 로고
    • The BOXSTEP method for large-scale optimization
    • Marsten RE, Hogan WW, Blankenship JW (1975) The BOXSTEP method for large-scale optimization. Oper Res 23: 389-405.
    • (1975) Oper Res , vol.23 , pp. 389-405
    • Marsten, R.E.1    Hogan, W.W.2    Blankenship, J.W.3
  • 33
    • 51349129806 scopus 로고    scopus 로고
    • New dynamic programming algorithms for the resource constrained elementary shortest path problem
    • Righini G, Salani M (2008) New dynamic programming algorithms for the resource constrained elementary shortest path problem. Networks 51(3): 155-170.
    • (2008) Networks , vol.51 , Issue.3 , pp. 155-170
    • Righini, G.1    Salani, M.2
  • 34
    • 34547612196 scopus 로고    scopus 로고
    • Interior point stabilization for column generation
    • Rousseau L-M, Gendreau M, Feillet D (2007) Interior point stabilization for column generation. Oper Res Lett 35: 660-668.
    • (2007) Oper Res Lett , vol.35 , pp. 660-668
    • Rousseau, L.-M.1    Gendreau, M.2    Feillet, D.3
  • 36
    • 85029007396 scopus 로고    scopus 로고
    • Clique inequalities applied to the vehicle routing problem with time windows
    • GERAD, Canada. Forthcoming in INFOR
    • Spoorendonk S, Desaulniers G (2008) Clique inequalities applied to the vehicle routing problem with time windows. Technical report G-2008-72, GERAD, Canada. Forthcoming in INFOR.
    • (2008) Technical report G-2008-72
    • Spoorendonk, S.1    Desaulniers, G.2
  • 37
    • 0033725783 scopus 로고    scopus 로고
    • On Dantzig-Wolfe decomposition in integer programming and ways to perform branching in a branch-and-price algorithm
    • Vanderbeck F (2000) On Dantzig-Wolfe decomposition in integer programming and ways to perform branching in a branch-and-price algorithm. Oper Res 48(1): 111-128.
    • (2000) Oper Res , vol.48 , Issue.1 , pp. 111-128
    • Vanderbeck, F.1
  • 38
    • 84889998910 scopus 로고    scopus 로고
    • Implementing mixed integer column generation
    • Desaulniers, G, Desrosiers, J, Solomon, MM,Springer
    • Vanderbeck F (2005) Implementing mixed integer column generation. In: Desaulniers G, Desrosiers J, Solomon MM (eds) Column generation, GERAD 25th anniversary series, chap 12. Springer, pp 331-358.
    • (2005) Column generation, GERAD 25th anniversary series , vol.12 , pp. 331-358
    • Vanderbeck, F.1
  • 39
    • 32644453668 scopus 로고    scopus 로고
    • A generic view of Dantzig-Wolfe decomposition in mixed integer programming
    • Vanderbeck F, Savelsbergh MWP (2006) A generic view of Dantzig-Wolfe decomposition in mixed integer programming. Oper Res Lett 34: 296-306.
    • (2006) Oper Res Lett , vol.34 , pp. 296-306
    • Vanderbeck, F.1    Savelsbergh, M.W.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.