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Erschienen in: EURO Journal on Transportation and Logistics 4/2017

02.11.2016 | Survey

The stochastic vehicle routing problem, a literature review, Part II: solution methods

verfasst von: Jorge Oyola, Halvard Arntzen, David L. Woodruff

Erschienen in: EURO Journal on Transportation and Logistics | Ausgabe 4/2017

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Abstract

Building on the work of Gendreau et al. (Oper Res 44(3):469–477, 1996), and complementing the first part of this survey, we review the solution methods used for the past 20 years in the scientific literature on stochastic vehicle routing problems (SVRP). We describe the methods and indicate how they are used when dealing with stochastic vehicle routing problems.

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Literatur
Zurück zum Zitat Adulyasak Y, Jaillet P (2016) Models and algorithms for stochastic and robust vehicle routing with deadlines. Transp Sci 50(2):608–626CrossRef Adulyasak Y, Jaillet P (2016) Models and algorithms for stochastic and robust vehicle routing with deadlines. Transp Sci 50(2):608–626CrossRef
Zurück zum Zitat Ahmadi-Javid A, Seddighi AH (2013) A location-routing problem with disruption risk. Transp Res Part E Log Transp Rev 53:63–82CrossRef Ahmadi-Javid A, Seddighi AH (2013) A location-routing problem with disruption risk. Transp Res Part E Log Transp Rev 53:63–82CrossRef
Zurück zum Zitat Ak A, Erera AL (2007) A paired-vehicle recourse strategy for the vehicle-routing problem with stochastic demands. Transp Sci 41(2):222–237CrossRef Ak A, Erera AL (2007) A paired-vehicle recourse strategy for the vehicle-routing problem with stochastic demands. Transp Sci 41(2):222–237CrossRef
Zurück zum Zitat Ando N, Taniguchi E (2006) Travel time reliability in vehicle routing and scheduling with time windows. Netw Spat Econ 6(3–4):293–311CrossRef Ando N, Taniguchi E (2006) Travel time reliability in vehicle routing and scheduling with time windows. Netw Spat Econ 6(3–4):293–311CrossRef
Zurück zum Zitat Beraldi P, Ghiani G, Musmanno R, Vocaturo F (2010) Efficient neighborhood search for the probabilistic multi-vehicle pickup and delivery problem. Asia Pac J Oper Res 27(3):301–314CrossRef Beraldi P, Ghiani G, Musmanno R, Vocaturo F (2010) Efficient neighborhood search for the probabilistic multi-vehicle pickup and delivery problem. Asia Pac J Oper Res 27(3):301–314CrossRef
Zurück zum Zitat Beraldi P, Bruni ME, Lagana D, Musmanno R (2015) The mixed capacitated general routing problem under uncertainty. Eur J Oper Res 240(2):382–392CrossRef Beraldi P, Bruni ME, Lagana D, Musmanno R (2015) The mixed capacitated general routing problem under uncertainty. Eur J Oper Res 240(2):382–392CrossRef
Zurück zum Zitat Bertsimas D, Chervi P, Peterson M (1995) Computational approaches to stochastic vehicle routing problems. Transp Sci 29(4):342–352CrossRef Bertsimas D, Chervi P, Peterson M (1995) Computational approaches to stochastic vehicle routing problems. Transp Sci 29(4):342–352CrossRef
Zurück zum Zitat Bianchi L, Birattari M, Chiarandini M, Manfrin M, Mastrolilli M, Paquete L, Rossi-Doria O, Schiavinotto T (2005) Hybrid metaheuristics for the vehicle routing problem with stochastic demands. Technical report, Dalle Molle Institute for Artificial Intelligence, Manno Bianchi L, Birattari M, Chiarandini M, Manfrin M, Mastrolilli M, Paquete L, Rossi-Doria O, Schiavinotto T (2005) Hybrid metaheuristics for the vehicle routing problem with stochastic demands. Technical report, Dalle Molle Institute for Artificial Intelligence, Manno
Zurück zum Zitat Chang MS (2005) A vehicle routing problem with time windows and stochastic demands. J Chin Inst Eng 28(5):783–794CrossRef Chang MS (2005) A vehicle routing problem with time windows and stochastic demands. J Chin Inst Eng 28(5):783–794CrossRef
Zurück zum Zitat Chang TS, Wan YW, Ooi WT (2009) A stochastic dynamic traveling salesman problem with hard time windows. Eur J Oper Res 198(3):748–759 Chang TS, Wan YW, Ooi WT (2009) A stochastic dynamic traveling salesman problem with hard time windows. Eur J Oper Res 198(3):748–759
Zurück zum Zitat Chen L, Ha MH, Langevin A, Gendreau M (2014) Optimizing road network daily maintenance operations with stochastic service and travel times. Transp Res Part E Log Transp Rev 64:88–102 Chen L, Ha MH, Langevin A, Gendreau M (2014) Optimizing road network daily maintenance operations with stochastic service and travel times. Transp Res Part E Log Transp Rev 64:88–102
Zurück zum Zitat Chepuri K, Homem-de Mello T (2005) Solving the vehicle routing problem with stochastic demands using the cross-entropy method. Ann Oper Res 134(1):153–181CrossRef Chepuri K, Homem-de Mello T (2005) Solving the vehicle routing problem with stochastic demands using the cross-entropy method. Ann Oper Res 134(1):153–181CrossRef
Zurück zum Zitat Christiansen CH, Lysgaard J (2007) A branch-and-price algorithm for the capacitated vehicle routing problem with stochastic demands. Oper Res Lett 35(6):773–781CrossRef Christiansen CH, Lysgaard J (2007) A branch-and-price algorithm for the capacitated vehicle routing problem with stochastic demands. Oper Res Lett 35(6):773–781CrossRef
Zurück zum Zitat Christiansen CH, Lysgaard J, Wøhlk S (2009) A branch-and-price algorithm for the capacitated arc routing problem with stochastic demands. Oper Res Lett 37(6):392–398CrossRef Christiansen CH, Lysgaard J, Wøhlk S (2009) A branch-and-price algorithm for the capacitated arc routing problem with stochastic demands. Oper Res Lett 37(6):392–398CrossRef
Zurück zum Zitat Clarke C, Wright J (1964) Scheduling of vehicles from a central depot to a number of delivery points. Oper Res 12:432–441CrossRef Clarke C, Wright J (1964) Scheduling of vehicles from a central depot to a number of delivery points. Oper Res 12:432–441CrossRef
Zurück zum Zitat Cordeau J-F, Gendreau M, Laporte G, Potvin J-Y, Semet F (2002) A guide to vehicle routing heuristics. J Oper Res Soc 53(5):512 Cordeau J-F, Gendreau M, Laporte G, Potvin J-Y, Semet F (2002) A guide to vehicle routing heuristics. J Oper Res Soc 53(5):512
Zurück zum Zitat Dantzig GB, Ramser JH (1959) The truck dispatching problem. Manag Sci (pre-1986) 6(1):80 Dantzig GB, Ramser JH (1959) The truck dispatching problem. Manag Sci (pre-1986) 6(1):80
Zurück zum Zitat Desrochers M (1988) An algorithm for the shortest path problem with resource constraints. In: Technical report, Cahiers du GERAD G-88-27, University of Montreal Desrochers M (1988) An algorithm for the shortest path problem with resource constraints. In: Technical report, Cahiers du GERAD G-88-27, University of Montreal
Zurück zum Zitat Dueck G (1993) New optimization heuristics: the Great Deluge algorithm and the record-to-record travel. J Comput Phys 104(1):86–92CrossRef Dueck G (1993) New optimization heuristics: the Great Deluge algorithm and the record-to-record travel. J Comput Phys 104(1):86–92CrossRef
Zurück zum Zitat Ehmke JF, Campbell AM, Urban TL (2015) Ensuring service levels in routing problems with time windows and stochastic travel times. Eur J Oper Res 240(2):539–550CrossRef Ehmke JF, Campbell AM, Urban TL (2015) Ensuring service levels in routing problems with time windows and stochastic travel times. Eur J Oper Res 240(2):539–550CrossRef
Zurück zum Zitat Eksioglu B, Vural AV, Reisman A (2009) The vehicle routing problem: a taxonomic review. Comput Ind Eng 57(4):1472–1483CrossRef Eksioglu B, Vural AV, Reisman A (2009) The vehicle routing problem: a taxonomic review. Comput Ind Eng 57(4):1472–1483CrossRef
Zurück zum Zitat Erera AL, Savelsbergh M, Uyar E (2009) Fixed routes with backup vehicles for stochastic vehicle routing problems with time constraints. Networks 54(4):270–283CrossRef Erera AL, Savelsbergh M, Uyar E (2009) Fixed routes with backup vehicles for stochastic vehicle routing problems with time constraints. Networks 54(4):270–283CrossRef
Zurück zum Zitat Erera AL, Morales JC, Savelsbergh M (2010) The vehicle routing problem with stochastic demand and duration constraints. Transp Sci 44(4):474–492CrossRef Erera AL, Morales JC, Savelsbergh M (2010) The vehicle routing problem with stochastic demand and duration constraints. Transp Sci 44(4):474–492CrossRef
Zurück zum Zitat Errico F, Desaulniers G, Gendreau M, Rei W, Rousseau L-M (2016) A priori optimization with recourse for the vehicle routing problem with hard time windows and stochastic service times. Eur J Oper Res 249(1):55–66CrossRef Errico F, Desaulniers G, Gendreau M, Rei W, Rousseau L-M (2016) A priori optimization with recourse for the vehicle routing problem with hard time windows and stochastic service times. Eur J Oper Res 249(1):55–66CrossRef
Zurück zum Zitat Fallahi AE, Prins C, Wolfler Calvo R (2008) A memetic algorithm and a tabu search for the multi-compartment vehicle routing problem. Comput Oper Res 35(5):1725–1741CrossRef Fallahi AE, Prins C, Wolfler Calvo R (2008) A memetic algorithm and a tabu search for the multi-compartment vehicle routing problem. Comput Oper Res 35(5):1725–1741CrossRef
Zurück zum Zitat 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):216–229CrossRef 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):216–229CrossRef
Zurück zum Zitat Fleury G, Lacomme P, Prins C, Randame-Chérif W (2002) Robustness evaluation of solutions for the capacitated arc routing problem. In: Barros FJ, Gambiasi N (eds) Simulation and planning in high autonomy systems. CARP, Lisbon Fleury G, Lacomme P, Prins C, Randame-Chérif W (2002) Robustness evaluation of solutions for the capacitated arc routing problem. In: Barros FJ, Gambiasi N (eds) Simulation and planning in high autonomy systems. CARP, Lisbon
Zurück zum Zitat Fleury G, Lacomme P, Prins C (2004) Evolutionary algorithms for stochastic arc routing problems. Lecture notes in computer science, vol 3005. Springer, Berlin, pp 501–512 Fleury G, Lacomme P, Prins C (2004) Evolutionary algorithms for stochastic arc routing problems. Lecture notes in computer science, vol 3005. Springer, Berlin, pp 501–512
Zurück zum Zitat Fleury G, Lacomme P, Prins C, Ramdane-Cérif W (2005) Improving robustness of solutions to arc routing problems. J Oper Res Soc 56(5):526–538 Fleury G, Lacomme P, Prins C, Ramdane-Cérif W (2005) Improving robustness of solutions to arc routing problems. J Oper Res Soc 56(5):526–538
Zurück zum Zitat Fleury G, Philippe L, Prins C (2005) Stochastic capacitated arc routing problem. In: Technical report LIMOS/RR-05-12, Laboratorie d’informatique (LIMOS), Université Blaise Pascal Fleury G, Philippe L, Prins C (2005) Stochastic capacitated arc routing problem. In: Technical report LIMOS/RR-05-12, Laboratorie d’informatique (LIMOS), Université Blaise Pascal
Zurück zum Zitat Gauvin C, Desaulniers G, Gendreau M (2014) A branch-cut-and-price algorithm for the vehicle routing problem with stochastic demands. Comput Oper Res 50:141–153CrossRef Gauvin C, Desaulniers G, Gendreau M (2014) A branch-cut-and-price algorithm for the vehicle routing problem with stochastic demands. Comput Oper Res 50:141–153CrossRef
Zurück zum Zitat Gendreau M, Laporte G, Seguin R (1996) A tabu search heuristic for the vehicle routing problem with stochastic demands and customers. Oper Res 44(3):469–477CrossRef Gendreau M, Laporte G, Seguin R (1996) A tabu search heuristic for the vehicle routing problem with stochastic demands and customers. Oper Res 44(3):469–477CrossRef
Zurück zum Zitat Gendreau M, Jabali O, Rei W (2014) Stochastic vehicle routing problems. In: Toth P, Vigo D (eds) Vehicle routing: problems, methods, and applications, 2nd edn, Society for Industrial and Applied Mathematics, pp 213–239 Gendreau M, Jabali O, Rei W (2014) Stochastic vehicle routing problems. In: Toth P, Vigo D (eds) Vehicle routing: problems, methods, and applications, 2nd edn, Society for Industrial and Applied Mathematics, pp 213–239
Zurück zum Zitat Gómez A, No RM, Akhavan-Tabatabaei R, Medaglia AL, Mendoza JE (2016) On modeling stochastic travel and service times in vehicle routing. Transp Sci 50(2):627–641 Gómez A, No RM, Akhavan-Tabatabaei R, Medaglia AL, Mendoza JE (2016) On modeling stochastic travel and service times in vehicle routing. Transp Sci 50(2):627–641
Zurück zum Zitat Goodson JC (2015) A priori policy evaluation and cyclic-order-based simulated annealing for the multi-compartment vehicle routing problem with stochastic demands. Eur J Oper Res 241(2):361–369CrossRef Goodson JC (2015) A priori policy evaluation and cyclic-order-based simulated annealing for the multi-compartment vehicle routing problem with stochastic demands. Eur J Oper Res 241(2):361–369CrossRef
Zurück zum Zitat Goodson JC, Ohlmann JW, Thomas BW (2012) Cyclic-order neighborhoods with application to the vehicle routing problem with stochastic demand. Eur J Oper Res 217(2):312–323CrossRef Goodson JC, Ohlmann JW, Thomas BW (2012) Cyclic-order neighborhoods with application to the vehicle routing problem with stochastic demand. Eur J Oper Res 217(2):312–323CrossRef
Zurück zum Zitat Gounaris CE, Wiesemann W, Floudas CA (2013) The robust capacitated vehicle routing problem under demand uncertainty. Oper Res 61(3):677–693CrossRef Gounaris CE, Wiesemann W, Floudas CA (2013) The robust capacitated vehicle routing problem under demand uncertainty. Oper Res 61(3):677–693CrossRef
Zurück zum Zitat Groër C, Golden B, Wasil E (2009) The consistent vehicle routing problem. Manuf Serv Oper Manag 11(4):630–643CrossRef Groër C, Golden B, Wasil E (2009) The consistent vehicle routing problem. Manuf Serv Oper Manag 11(4):630–643CrossRef
Zurück zum Zitat Haugland D, Ho SC, Laporte G (2007) Designing delivery districts for the vehicle routing problem with stochastic demands. Eur J Oper Res 180(3):997–1010CrossRef Haugland D, Ho SC, Laporte G (2007) Designing delivery districts for the vehicle routing problem with stochastic demands. Eur J Oper Res 180(3):997–1010CrossRef
Zurück zum Zitat Hjorring C, Holt J (1999) New optimality cuts for a single-vehicle stochastic routing problem. Ann Oper Res 86:569–584CrossRef Hjorring C, Holt J (1999) New optimality cuts for a single-vehicle stochastic routing problem. Ann Oper Res 86:569–584CrossRef
Zurück zum Zitat Hvattum LM, Løkketangen A, Laporte G (2006) Solving a dynamic and stochastic vehicle routing problem with a sample scenario hedging heuristic. Transp Sci 40(4):421–438CrossRef Hvattum LM, Løkketangen A, Laporte G (2006) Solving a dynamic and stochastic vehicle routing problem with a sample scenario hedging heuristic. Transp Sci 40(4):421–438CrossRef
Zurück zum Zitat Jabali O, Rei W, Gendreau M, Laporte G (2014) Partial-route inequalities for the multi-vehicle routing problem with stochastic demands. Discrete Appl Math 177:121–136CrossRef Jabali O, Rei W, Gendreau M, Laporte G (2014) Partial-route inequalities for the multi-vehicle routing problem with stochastic demands. Discrete Appl Math 177:121–136CrossRef
Zurück zum Zitat Juan A, Faulin J, Grasman S, Riera D, Marull J, Mendez C (2011) Using safety stocks and simulation to solve the vehicle routing problem with stochastic demands. Transp Res Part C Emerg Technol 19(5):751–765 (Freight Transportation and Logistics (selected papers from ODYSSEUS 2009—the 4th international workshop on Freight Transportation and Logistics) Juan A, Faulin J, Grasman S, Riera D, Marull J, Mendez C (2011) Using safety stocks and simulation to solve the vehicle routing problem with stochastic demands. Transp Res Part C Emerg Technol 19(5):751–765 (Freight Transportation and Logistics (selected papers from ODYSSEUS 2009—the 4th international workshop on Freight Transportation and Logistics)
Zurück zum Zitat Kenyon AS, Morton DP (2003) Stochastic vehicle routing with random travel times. Transp Sci 37(1):69–82CrossRef Kenyon AS, Morton DP (2003) Stochastic vehicle routing with random travel times. Transp Sci 37(1):69–82CrossRef
Zurück zum Zitat Lacomme P, Prins C, Ramdane-Chérif W (2001) A genetic algorithm for the capacitated arc routing problem and its extensions. In: Boers E (ed) Lecture notes in computer science, vol 2037. Springer, Berlin, pp 473–483 Lacomme P, Prins C, Ramdane-Chérif W (2001) A genetic algorithm for the capacitated arc routing problem and its extensions. In: Boers E (ed) Lecture notes in computer science, vol 2037. Springer, Berlin, pp 473–483
Zurück zum Zitat Laporte G, Louveaux FV, Hamme LV (2002) An integer L-shaped algorithm for the capacitated vehicle routing problem with stochastic demands. Oper Res 50(3):415–423CrossRef Laporte G, Louveaux FV, Hamme LV (2002) An integer L-shaped algorithm for the capacitated vehicle routing problem with stochastic demands. Oper Res 50(3):415–423CrossRef
Zurück zum Zitat Laporte G, Musmanno R, Vocaturo F (2010) An adaptive large neighbourhood search heuristic for the capacitated arc-routing problem with stochastic demands. Transp Sci 44(1):125–135CrossRef Laporte G, Musmanno R, Vocaturo F (2010) An adaptive large neighbourhood search heuristic for the capacitated arc-routing problem with stochastic demands. Transp Sci 44(1):125–135CrossRef
Zurück zum Zitat Lecluyse C, Van Woensel T, Peremans H (2009) Vehicle routing with stochastic time-dependent travel times. 4OR 7(4):363–377 Lecluyse C, Van Woensel T, Peremans H (2009) Vehicle routing with stochastic time-dependent travel times. 4OR 7(4):363–377
Zurück zum Zitat Lee C, Lee K, Park S (2012) Robust vehicle routing problem with deadlines and travel time/demand uncertainty. J Oper Res Soc 63(9):1294–1306CrossRef Lee C, Lee K, Park S (2012) Robust vehicle routing problem with deadlines and travel time/demand uncertainty. J Oper Res Soc 63(9):1294–1306CrossRef
Zurück zum Zitat Lei H, Laporte G, Guo B (2011) The capacitated vehicle routing problem with stochastic demands and time windows. Comput Oper Res 38(12):1775–1783CrossRef Lei H, Laporte G, Guo B (2011) The capacitated vehicle routing problem with stochastic demands and time windows. Comput Oper Res 38(12):1775–1783CrossRef
Zurück zum Zitat Lei H, Laporte G, Guo B (2012) A generalized variable neighborhood search heuristic for the capacitated vehicle routing problem with stochastic service times. TOP 20(3):99–118CrossRef Lei H, Laporte G, Guo B (2012) A generalized variable neighborhood search heuristic for the capacitated vehicle routing problem with stochastic service times. TOP 20(3):99–118CrossRef
Zurück zum Zitat Li X, Tian P, Leung SC (2010) Vehicle routing problems with time windows and stochastic travel and service times: models and algorithm. Int J Prod Econ 125(1):137–145CrossRef Li X, Tian P, Leung SC (2010) Vehicle routing problems with time windows and stochastic travel and service times: models and algorithm. Int J Prod Econ 125(1):137–145CrossRef
Zurück zum Zitat Maden W, Eglese R, Black D (2010) Vehicle routing and scheduling with time-varying data: a case study. J Oper Res Soc 61(3):515–522CrossRef Maden W, Eglese R, Black D (2010) Vehicle routing and scheduling with time-varying data: a case study. J Oper Res Soc 61(3):515–522CrossRef
Zurück zum Zitat Marinakis Y, Iordanidou G-R, Marinaki M (2013) Particle swarm optimization for the vehicle routing problem with stochastic demands. Appl Soft Comput 13(4):1693–1704CrossRef Marinakis Y, Iordanidou G-R, Marinaki M (2013) Particle swarm optimization for the vehicle routing problem with stochastic demands. Appl Soft Comput 13(4):1693–1704CrossRef
Zurück zum Zitat Mendoza J, Villegas J (2013) A multi-space sampling heuristic for the vehicle routing problem with stochastic demands. Optim Lett 7(7):1503–1516CrossRef Mendoza J, Villegas J (2013) A multi-space sampling heuristic for the vehicle routing problem with stochastic demands. Optim Lett 7(7):1503–1516CrossRef
Zurück zum Zitat Mendoza JE, Castanier B, Guéret C, Medaglia AL, Velasco N (2010) A memetic algorithm for the multi-compartment vehicle routing problem with stochastic demands. Comput Oper Res 37(11):1886–1898CrossRef Mendoza JE, Castanier B, Guéret C, Medaglia AL, Velasco N (2010) A memetic algorithm for the multi-compartment vehicle routing problem with stochastic demands. Comput Oper Res 37(11):1886–1898CrossRef
Zurück zum Zitat Mendoza JE, Castanier B, Guéret C, Medaglia AL, Velasco N (2011) Constructive heuristics for the multicompartment vehicle routing problem with stochastic demands. Transp Sci 45(3):346–363CrossRef Mendoza JE, Castanier B, Guéret C, Medaglia AL, Velasco N (2011) Constructive heuristics for the multicompartment vehicle routing problem with stochastic demands. Transp Sci 45(3):346–363CrossRef
Zurück zum Zitat Mendoza J, Rousseau L-M, Villegas J (2015) A hybrid metaheuristic for the vehicle routing problem with stochastic demand and duration constraints. J Heuristics 1–28 Mendoza J, Rousseau L-M, Villegas J (2015) A hybrid metaheuristic for the vehicle routing problem with stochastic demand and duration constraints. J Heuristics 1–28
Zurück zum Zitat Miranda DM, Conceição SV (2016) The vehicle routing problem with hard time windows and stochastic travel and service time. Expert Syst Appl 64:104–116CrossRef Miranda DM, Conceição SV (2016) The vehicle routing problem with hard time windows and stochastic travel and service time. Expert Syst Appl 64:104–116CrossRef
Zurück zum Zitat Novoa C, Storer R (2009) An approximate dynamic programming approach for the vehicle routing problem with stochastic demands. Eur J Oper Res 196(2):509–515CrossRef Novoa C, Storer R (2009) An approximate dynamic programming approach for the vehicle routing problem with stochastic demands. Eur J Oper Res 196(2):509–515CrossRef
Zurück zum Zitat Prins C (2004) A simple and effective evolutionary algorithm for the vehicle routing problem. Comput Oper Res 31(12):1985–2002CrossRef Prins C (2004) A simple and effective evolutionary algorithm for the vehicle routing problem. Comput Oper Res 31(12):1985–2002CrossRef
Zurück zum Zitat Rei W, Gendreau M, Soriano P (2007) Local branching cuts for the 0–1 integer L-shaped algorithm. In: Technical report, CIRRELT-2007-23, Centre interuniversitaire de recherche sur les réseaux d’enterprise, la logistique et le transport, vol 44(1), pp 136–146 Rei W, Gendreau M, Soriano P (2007) Local branching cuts for the 0–1 integer L-shaped algorithm. In: Technical report, CIRRELT-2007-23, Centre interuniversitaire de recherche sur les réseaux d’enterprise, la logistique et le transport, vol 44(1), pp 136–146
Zurück zum Zitat Rei W, Gendreau M, Soriano P (2010) A hybrid Monte Carlo local branching algorithm for the single vehicle routing problem with stochastic demands. Transp Sci 44(1):136–146CrossRef Rei W, Gendreau M, Soriano P (2010) A hybrid Monte Carlo local branching algorithm for the single vehicle routing problem with stochastic demands. Transp Sci 44(1):136–146CrossRef
Zurück zum Zitat Resende MGC, Celso CR (2010) Greedy randomized adaptive search procedures: advances, hybridizations, and applications. In: Gendreau M, Potvin J-Y (eds) Handbook of metaheuristics. Springer, New York, pp 283–319 Resende MGC, Celso CR (2010) Greedy randomized adaptive search procedures: advances, hybridizations, and applications. In:  Gendreau M, Potvin J-Y (eds) Handbook of metaheuristics. Springer, New York, pp 283–319
Zurück zum Zitat Ritzinger U, Puchinger J, Hartl RF (2016) A survey on dynamic and stochastic vehicle routing problems. Int J Prod Res 54:215–231CrossRef Ritzinger U, Puchinger J, Hartl RF (2016) A survey on dynamic and stochastic vehicle routing problems. Int J Prod Res 54:215–231CrossRef
Zurück zum Zitat Rockafellar R, Wets R-B (1991) Scenarios and policy aggregation in optimization under uncertainty. Math Oper Res 16(1):119–147CrossRef Rockafellar R, Wets R-B (1991) Scenarios and policy aggregation in optimization under uncertainty. Math Oper Res 16(1):119–147CrossRef
Zurück zum Zitat Rubinstein R (1999) The cross-entropy method for combinatorial and continuous optimization. Methodol Comput Appl Probab 1(2):127–190CrossRef Rubinstein R (1999) The cross-entropy method for combinatorial and continuous optimization. Methodol Comput Appl Probab 1(2):127–190CrossRef
Zurück zum Zitat Russell RA, Urban TL (2008) Vehicle routing with soft time windows and erlang travel times. J Oper Res Soc 59(9):1220–1228CrossRef Russell RA, Urban TL (2008) Vehicle routing with soft time windows and erlang travel times. J Oper Res Soc 59(9):1220–1228CrossRef
Zurück zum Zitat Secomandi N (2000) Comparing neuro-dynamic programming algorithms for the vehicle routing problem with stochastic demands. Comput Oper Res 27(1112):1201–1225 Secomandi N (2000) Comparing neuro-dynamic programming algorithms for the vehicle routing problem with stochastic demands. Comput Oper Res 27(1112):1201–1225
Zurück zum Zitat Secomandi N (2001) A rollout policy for the vehicle routing problem with stochastic demands. Oper Res 49(5):796–802CrossRef Secomandi N (2001) A rollout policy for the vehicle routing problem with stochastic demands. Oper Res 49(5):796–802CrossRef
Zurück zum Zitat Secomandi N (2003) Analysis of a rollout approach to sequencing problems with stochastic routing applications. J Heuristics 9(4):321–352CrossRef Secomandi N (2003) Analysis of a rollout approach to sequencing problems with stochastic routing applications. J Heuristics 9(4):321–352CrossRef
Zurück zum Zitat Secomandi N, Margot F (2009) Reoptimization approaches for the vehicle-routing problem with stochastic demands. Oper Res 57(1):214–230CrossRef Secomandi N, Margot F (2009) Reoptimization approaches for the vehicle-routing problem with stochastic demands. Oper Res 57(1):214–230CrossRef
Zurück zum Zitat Solano-Charris E, Prins C, Santos AC (2015) Local search based metaheuristics for the robust vehicle routing problem with discrete scenarios. Appl Soft Comput 32:518–531CrossRef Solano-Charris E, Prins C, Santos AC (2015) Local search based metaheuristics for the robust vehicle routing problem with discrete scenarios. Appl Soft Comput 32:518–531CrossRef
Zurück zum Zitat Solomon MM (1987) Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper Res 35(2):254 Solomon MM (1987) Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper Res 35(2):254
Zurück zum Zitat Sörensen K, Sevaux M (2009) A practical approach for robust and flexible vehicle routing using metaheuristics and Monte Carlo sampling. J Math Model Algorithms 8(4):387–407CrossRef Sörensen K, Sevaux M (2009) A practical approach for robust and flexible vehicle routing using metaheuristics and Monte Carlo sampling. J Math Model Algorithms 8(4):387–407CrossRef
Zurück zum Zitat Sungur I, Ordóñez F, Dessouky M (2008) A robust optimization approach for the capacitated vehicle routing problem with demand uncertainty. IIE Trans 40:509–523CrossRef Sungur I, Ordóñez F, Dessouky M (2008) A robust optimization approach for the capacitated vehicle routing problem with demand uncertainty. IIE Trans 40:509–523CrossRef
Zurück zum Zitat Sungur I, Ren Y, Ordez F, Dessouky M, Zhong H (2010) A model and algorithm for the courier delivery problem with uncertainty. Transp Sci 44(2):193–205 Sungur I, Ren Y, Ordez F, Dessouky M, Zhong H (2010) A model and algorithm for the courier delivery problem with uncertainty. Transp Sci 44(2):193–205
Zurück zum Zitat Taş D, Dellaert N, van Woensel T, de Kok T (2013) Vehicle routing problem with stochastic travel times including soft time windows and service costs. Comput Oper Res 40(1):214–224CrossRef Taş D, Dellaert N, van Woensel T, de Kok T (2013) Vehicle routing problem with stochastic travel times including soft time windows and service costs. Comput Oper Res 40(1):214–224CrossRef
Zurück zum Zitat Taş D, Dellaert N, van Woensel T, de Kok T (2014a) The time-dependent vehicle routing problem with soft time windows and stochastic travel times. Transp Res Part C Emerg Technol 48:66–83CrossRef Taş D, Dellaert N, van Woensel T, de Kok T (2014a) The time-dependent vehicle routing problem with soft time windows and stochastic travel times. Transp Res Part C Emerg Technol 48:66–83CrossRef
Zurück zum Zitat Taş D, Gendreau M, Dellaert N, van Woensel T, de Kok A (2014b) Vehicle routing with soft time windows and stochastic travel times: a column generation and branch-and-price solution approach. Eur J Oper Res 236(3):789–799CrossRef Taş D, Gendreau M, Dellaert N, van Woensel T, de Kok A (2014b) Vehicle routing with soft time windows and stochastic travel times: a column generation and branch-and-price solution approach. Eur J Oper Res 236(3):789–799CrossRef
Zurück zum Zitat Tan K, Cheong C, Goh C (2007) Solving multiobjective vehicle routing problem with stochastic demand via evolutionary computation. Eur J Oper Res 177(2):813–839CrossRef Tan K, Cheong C, Goh C (2007) Solving multiobjective vehicle routing problem with stochastic demand via evolutionary computation. Eur J Oper Res 177(2):813–839CrossRef
Zurück zum Zitat Toth P, Vigo D (1998) Exact algorithms for vehicle routing. In: Crainic T, Laporte G (eds) Fleet management and logistics. Kluwer Academic Publishers, New York, pp 1–31 Toth P, Vigo D (1998) Exact algorithms for vehicle routing. In: Crainic T, Laporte G (eds) Fleet management and logistics. Kluwer Academic Publishers, New York, pp 1–31
Zurück zum Zitat Toth P, Vigo D (2002) Models, relaxations and exact approaches for the capacitated vehicle routing problem. Discrete Appl Math 123(1–3):487–512CrossRef Toth P, Vigo D (2002) Models, relaxations and exact approaches for the capacitated vehicle routing problem. Discrete Appl Math 123(1–3):487–512CrossRef
Zurück zum Zitat Voß S, Fink A, Duin C (2005) Looking ahead with the pilot method. Ann Oper Res 136(1):285–302CrossRef Voß S, Fink A, Duin C (2005) Looking ahead with the pilot method. Ann Oper Res 136(1):285–302CrossRef
Zurück zum Zitat Woensel TV, Kerbache L, Peremans H, Vandaele N (2007) A queueing framework for routing problems with time-dependent travel times. J Math Model Algorithms 6(1):151–173CrossRef Woensel TV, Kerbache L, Peremans H, Vandaele N (2007) A queueing framework for routing problems with time-dependent travel times. J Math Model Algorithms 6(1):151–173CrossRef
Zurück zum Zitat Yan S, Wang S-S, Chang Y-H (2014) Cash transportation vehicle routing and scheduling under stochastic travel times. Eng Optim 46(3):289–307CrossRef Yan S, Wang S-S, Chang Y-H (2014) Cash transportation vehicle routing and scheduling under stochastic travel times. Eng Optim 46(3):289–307CrossRef
Zurück zum Zitat Yang W-H, Mathur K, Ballou RH (2000) Stochastic vehicle routing problem with restocking. Transp Sci 34(1):99–112CrossRef Yang W-H, Mathur K, Ballou RH (2000) Stochastic vehicle routing problem with restocking. Transp Sci 34(1):99–112CrossRef
Zurück zum Zitat Zhang T, Chaovalitwongse W, Zhang Y (2012) Scatter search for the stochastic travel-time vehicle routing problem with simultaneous pick-ups and deliveries. Comput Oper Res 39(10):2277–2290CrossRef Zhang T, Chaovalitwongse W, Zhang Y (2012) Scatter search for the stochastic travel-time vehicle routing problem with simultaneous pick-ups and deliveries. Comput Oper Res 39(10):2277–2290CrossRef
Zurück zum Zitat Zhang J, Lam WHK, Chen BY (2013) A stochastic vehicle routing problem with travel time uncertainty: trade-off between cost and customer service. Netw Spat Econ 13(4):471–496CrossRef Zhang J, Lam WHK, Chen BY (2013) A stochastic vehicle routing problem with travel time uncertainty: trade-off between cost and customer service. Netw Spat Econ 13(4):471–496CrossRef
Zurück zum Zitat Zhong H, Hall RW, Dessouky M (2007) Territory planning and vehicle dispatching with driver learning. Transp Sci 41(1):74–89CrossRef Zhong H, Hall RW, Dessouky M (2007) Territory planning and vehicle dispatching with driver learning. Transp Sci 41(1):74–89CrossRef
Zurück zum Zitat Zhu L, Rousseau L-M, Rei W, Li B (2014) Paired cooperative reoptimization strategy for the vehicle routing problem with stochastic demands. Comput Oper Res 50:1–13CrossRef Zhu L, Rousseau L-M, Rei W, Li B (2014) Paired cooperative reoptimization strategy for the vehicle routing problem with stochastic demands. Comput Oper Res 50:1–13CrossRef
Metadaten
Titel
The stochastic vehicle routing problem, a literature review, Part II: solution methods
verfasst von
Jorge Oyola
Halvard Arntzen
David L. Woodruff
Publikationsdatum
02.11.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
EURO Journal on Transportation and Logistics / Ausgabe 4/2017
Print ISSN: 2192-4376
Elektronische ISSN: 2192-4384
DOI
https://doi.org/10.1007/s13676-016-0099-7