A column generation algorithm for the vehicle routing problem with soft time windows

4OR - Tập 9 Số 1 - Trang 49-82 - 2011
Federico Liberatore1,2, Giovanni Righini1, Matteo Salani3,4
1Dipartimento di Tecnologie dell’Informazione, Università degli Studi di Milano, Crema, Italy
2Kent Business School, University of Kent, Canterbury, Kent, UK
3IDSIA, Istituto Dalle Molle di Studi sull’Intelligenza Artificiale, Manno-Lugano, Switzerland
4TRANSP-OR, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

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Tài liệu tham khảo

Balakrishnan N (1993) Simple heuristics for the vehicle routeing problem with soft time windows. J Oper Res Soc 44: 279–287

Baldacci R, Mingozzi A, Roberti R (2009) An exact method for the vehicle routing problem with time windows. In: 20 th International symposium of mathematical programming, Chicago

Boland N, Dethridge J, Dumitrescu I (2006) Accelerated label setting algorithms for the elementary resource constrained shortest path problem. Oper Res Lett 34: 58–68

Bramel J, Simchi-Levi D (2001) The vehicle routing problem, volume 9 of SIAM monographs on discrete mathematics and applications, chapter set-covering-based algorithms for the capacitated VRP. SIAM: Society for Industrial and Applied Mathematics, Philadelphia

Chiang WC, Russell RA (2004) A metaheuristic for the vehicle-routeing problem with soft time windows. J Oper Res Soc 55: 1298–1310

Cordeau JF, Desaulniers G, Desrosiers J, Solomon MM, Soumis F (2001) The vehicle routing problem, volume 9 of SIAM monographs on discrete mathematics and applications, chapter the VRP with time windows. SIAM: Society for Industrial and Applied Mathematics, Philadelphia

Danna E, Le Pape C (2005) Column generation, chapter branch-and-price heuristics: a case study on the vehicle routing problem with time windows. Springer, New York

Dell’Amico M, Righini G, Salani M (2006) A branch-and-price approach to the vehicle routing problem with simultaneous distribution and collection. Transport Sci 40: 235–247

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: 387–404

Desrochers M, Desrosiers J, Solomon MM (1992) A new optimization algorithm for the vehicle routing problem with time windows. Oper Res 40: 342–354

Dror M (1994) Note on the complexity of the shortest path models for column generation in vrptw. Oper Res 42: 977–978

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: 216–229

Ibaraki T, Imahori S, Kubo M, Masuda T, Uno T, Yagiura M (2005) Effective local search algorithms for routing and scheduling problems with general time-window constraints. Transport Sci 39: 206–232

Ioachim I, Gélinas S, Soumis F, Desrosiers J (1998) A dynamic programming algorithm for the shortest path problem with time windows and linear node costs. Networks 31: 193–204

Jepsen M, Petersen B, Spoorendonk S, Pisinger D (2008) Introducing subset-row inequalities in a branch-and-cut-and-price algorithm for the vehicle routing problem with time windows. Oper Res 56: 497–511

Kallehauge B, Larsen J, Madsen OBG, Solomon MM (2005) Column generation, chapter Vehicle routing problem with time windows. Springer, New York

Kohl N, Desrosiers J, Madsen OBG, Solomon MM, Soumis F (1999) 2-path cuts for the vehicle routing problem with time windows. Transport Sci 33: 101–116

Koskosidis YA, Powell WB, Solomon MM (1992) An optimization based heuristic for vehicle routing and scheduling with soft time window constraints. Transport Sci 26: 69–85

Righini G, Salani M (2006) Symmetry helps: bounded bi-directional dynamic programming for the elementary shortest path problem with resource constraints. Discrete Optim 3: 255–273

Righini G, Salani M (2008a) Decremental state space relaxation strategies and initialization heuristics for solving the orienteering problem with time windows with dynamic programming. Comput Oper Res 36: 1191–1203

Righini G, Salani M (2008b) New dynamic programming algorithms for the resource-constrained elementary shortest path problem. Networks 51: 155–170

Salani M (2006) Branch-and-price algorithms for vehicle routing problems. PhD thesis, University of Milan

Sexton T, Choi Y (1986) Pickup and delivery of partial loads with soft time windows. Am J Math Manag Sci 6: 369–398

Solomon MM (1983) Vehicle routing and scheduling with time windows constraints: models and algorithms. PhD thesis, University of Pennsylvania

Taillard E, Badeau P, Gendreau M, Guertin F, Potvin JY (1997) A tabu search heuristic for the vehicle routing problem with soft time windows. Transport Sci 31: 170–186