Branch and cut and price for the time dependent vehicle routing problem with time windows

S. Dabia, S. Röpke, T. Woensel, van, A.G. Kok, de

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Abstract

In this paper, we consider the Time-Dependent Vehicle Routing Problem with Time Windows (TDVRPTW).Travel times are time-dependent, meaning that depending on the departure time from a customer a different travel time is incurred. Because of time-dependency, vehicles' dispatch times from the depot are crucial as road congestion might be avoided. Due to its complexity, all existing solutions to the TDVRPTW are based on (meta-) heuristics and no exact methods are known for this problem. In this paper, we propose the first exact method to solve the TDVRPTW. The MIP formulation is decomposed into a master problem that is solved by means of column generation, and a pricing problem. To insure integrality, the resulting algorithm is embedded in a Branch and Cut framework. We aim to determine the set of routes with the least total travel time. Furthermore, for each vehicle, the best dispatch time from the depot is calculated.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages26
Publication statusPublished - 2011

Publication series

NameBETA publicatie : working papers
Volume361
ISSN (Print)1386-9213

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    Dabia, S., Röpke, S., Woensel, van, T., & Kok, de, A. G. (2011). Branch and cut and price for the time dependent vehicle routing problem with time windows. (BETA publicatie : working papers; Vol. 361). Technische Universiteit Eindhoven.