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Pré-Publication, Document De Travail Année : 2006

Vehicle routing problems with alternative paths: an application to demand responsive transports

Résumé

The class of vehicle routing problems involves the optimization of freight or person transportation activities. These problems are generally treated via the representation of geographical data as a valued complete graph. Every arc of the graph represents the shortest path for a possible origin-destination connection. Several attributes can be defined for an arc (travel time, travel cost. . . ), but the path implied by this arc is computed according to a single criterion, generally travel time. Consequently, some alternative routes proposing a different compromise between the attributes of the arcs are dismissed at once from the solution space. In this work, we propose to represent geographic data with a multigraph, so that these alternative routes are considered, and to evaluate how it impacts on solution algorithms and solution values. A simple insertion algorithm is proposed and illustrated in the context of a demand responsive transportation system developed in a French region. Computational experiments on realistic data underline the potential cost savings brought by the multigraph model.
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Dates et versions

hal-00109003 , version 1 (23-10-2006)
hal-00109003 , version 2 (02-05-2007)
hal-00109003 , version 3 (20-05-2009)

Identifiants

  • HAL Id : hal-00109003 , version 1

Citer

Thierry Garaix, Christian Artigues, Dominique Feillet, Didier Josselin. Vehicle routing problems with alternative paths: an application to demand responsive transports. 2006. ⟨hal-00109003v1⟩
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