The Edge Set Cost of the Vehicle Routing Problem with Time Windows
Line Blander Reinhardt (),
Mads Kehlet Jepsen () and
David Pisinger ()
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Line Blander Reinhardt: Department of Management Engineering, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
Mads Kehlet Jepsen: Department of Management Engineering, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
David Pisinger: Department of Management Engineering, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
Transportation Science, 2016, vol. 50, issue 2, 694-707
Abstract:
We consider an important generalization of the vehicle routing problem with time windows in which a fixed cost must be paid for accessing a set of edges. This fixed cost could reflect payment for toll roads, investment in new facilities, the need for certifications, and other costly investments. The certifications and investments impose a cost for the company while they also give unlimited usage of a set of roads to all vehicles belonging to the company.This violates the traditional assumption that the path between two destinations is well defined and independent of other choices. Different versions for defining the edge sets are discussed and formulated. Both the multigraph case and the direct path case are described, and mixed-integer-programming formulations of the problem are presented for both cases. A solution method based on branch-price-and-cut is applied to the direct path case. The computational results show that instances with up to 40 customers can be solved in a reasonable time, and that the branch-cut-and-price algorithm generally outperforms CPLEX.
Keywords: VRPTW; branch cut and price; multigraphs (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:50:y:2016:i:2:p:694-707
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