Abstract
A variant of the classical vehicle routing problem, where vehicles can be assigned to more than one route within a working time period, is investigated. A hybrid Genetic Algorithm, which uses a new non-binary chromosome representation and which is enhanced by a domain specific data structure, appropriate genetic operators and a scheme for chromosome evaluation, is proposed. Test problems from the literature are used to evaluate the performance of the proposed heuristic. Encouraging results are obtained.
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Brandao, J., Mercer, A.: A tabu search algorithm for the multi-trip vehicle routing and scheduling problem. Eur. J. Oper. Res. 100, 180–191 (1997)
Brandao, J., Mercer, A.: The multi-trip vehicle routing problem. J. Oper. Res. Soc. 49, 799–805 (1998)
Christofides, N., Mingozzi, A., Toth, P.: The vehicle routing problem. In: Combinatorial Optimization, pp. 313–338. Wiley, Chichester (1979)
Clarke, G., Wright, J.: Scheduling of vehicles for a central depot to a number of delivery points. Oper. Res. 12, 568–581 (1964)
Fisher, M.: Optimal solution of vehicle routing problems using minimum k-trees. Oper. Res. 42(4), 626–646 (1994)
Fleischmann, B.: The vehicle routing problem with multiple use of vehicles. Working paper, Fachbereich Wirschaftswissenschaften, Universitat Hamburg (1990)
Glover, F.: A template for scatter search and path relinking. In: Artificial Evolution. Lecture Notes in Computer Science, pp. 13–54. Springer, Berlin Heidelberg New York (1998)
Golden, B., Laporte, G., Taillard, E.: An adaptive memory heuristic for a class of vehicle routing problems with minmax objective. Comput. Oper. Res. 24, 445–452 (1997)
Martello, S., Toth, P.: Knapsack Problems. Wiley, Chichester (1990)
Olivera, A., Viera, O.: Adaptive memory progarmming for the vehicle routing problem with multiple trips. Comput. Oper. Res. 34, 28–47 (2007)
Osman, I., Salhi, S.: Local search strategies for the mix fleet routing problem. In: Rayward-Smith, V.J., et al.(eds.) Modern Heuristic Search Methods, chap. 8, pp. 131–154. Wiley, Chichester (1996)
Petch, R.: Constructive and population based heuristics for the vehicle routing problem with multiple trips. Ph.D. thesis. University of Birmingham, UK (2001)
Petch, R., Salhi, S.: A multi-phase constructive heuristic for the vehicle routing problem with multiple trips. Discrete Appl. Math. 133, 69–92 (2004)
Potvin, J.: Genetic algorithms for the traveling salesman problem. Ann. Oper. Res. 63, 339–370 (1996)
Reeves, C. (ed.).: Modern Heuristic Techniques for Combinatorial Problems. Blackwell, Oxford, UK (1995)
Rochat, Y., Taillard, E.: Probabilistic diversification and intensification in local search for vehicle routing. Heuristics 1, 147–167 (1995)
Salhi, S.: The integration of routing into the location-allocation and vehicle composition problems. Ph.D. Thesis, University of Lancaster, pp. 198–208 (1987)
Salhi, S.: Heuristic search methods. In: Marcoulides, G. (ed.) Modern Methods for Business Research, chap. 6. Lawrence Erlbaum, London (1998)
Salhi, S.: Heuristic search methods: the science of tomorrow. In: Salhi, S.(ed.) Keynote Papers at OR48, pp. 39–58. Operational Research Society, Bath (2006)
Salhi, S., Rand, G.: Incorporating vehicle routing into the vehicle fleet composition problem. Eur. J. Oper. Res. 66, 313–330 (1993)
Taillard, E., Laporte, G., Gendreau, M.: Vehicle routing with multiple use of vehicles. J. Oper. Res. Soc. 47, 1065–1070 (1996)
Thangiah, S., Salhi, S.: Genetic clustering: an dadptive heuristic for the multi depot vehicle routing problem. Appl. Artif. Intell. 15, 361–383 (2001)
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Salhi, S., Petch, R.J. A GA Based Heuristic for the Vehicle Routing Problem with Multiple Trips. J Math Model Algor 6, 591–613 (2007). https://doi.org/10.1007/s10852-007-9069-2
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DOI: https://doi.org/10.1007/s10852-007-9069-2