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Journal articles
Vehicle routing problems with alternative paths: an application to on-demand transportation
Abstract : The class of vehicle routing problems involves the optimization of freight or passenger transportation activities. These problems are generally treated via the representation of the road network as a weighted complete graph. Each arc of the graph represents the shortest route for a possible origin-destination connection. Several attributes can be defined for one arc (travel time, travel cost . . . ), but the shortest route modelled by this arc is computed according to one single criterion, generally travel time. Consequently, some alternative routes proposing a different compromise between the attributes of the arcs are discarded from the solution space. In this work, we propose to represent the road network 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 on-demand transportation system developed in a French area. Computational experiments on academic and realistic data underline the potential cost savings brought by the multigraph model.
Cited literature [43 references]
https://hal.archives-ouvertes.fr/hal-00109003
Contributor : Christian Artigues <>
Submitted on : Wednesday, May 20, 2009 - 5:20:34 PM
Last modification on : Wednesday, August 26, 2020 - 3:30:55 AM
Long-term archiving on: : Thursday, June 30, 2011 - 11:32:04 AM
Contributor : Christian Artigues <>
Submitted on : Wednesday, May 20, 2009 - 5:20:34 PM
Last modification on : Wednesday, August 26, 2020 - 3:30:55 AM
Long-term archiving on: : Thursday, June 30, 2011 - 11:32:04 AM
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