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A Branch-and-Cut Algorithm for the Dial-a-Ride Problem

Cordeau, Jean-François·2006·Operations Research

Abstract

In the dial-a-ride problem, users formulate requests for transportation from a specific origin to a specific destination. Transportation is carried out by vehicles providing a shared service. The problem consists of designing a set of minimum-cost vehicle routes satisfying capacity, duration, time window, pairing, precedence, and ride-time constraints. This paper introduces a mixed-integer programming formulation of the problem and a branch-and-cut algorithm. The algorithm uses new valid inequalities for the dial-a-ride problem as well as known valid inequalities for the traveling salesman, the vehicle routing, and the pick-up and delivery problems. Computational experiments performed on randomly generated instances show that the proposed approach can be used to solve small to medium-size instances.

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Metadata

Authors
Cordeau, J.-F.
Venue
Operations Research
Published
2006-06
Volume
54
Issue
3
Pages
573-586
ISSN
  • 0030-364X (ISSN-L)
  • 1526-5463
OpenAlex
W2051358678
Cited by
695
References
0
FWCI
50.23
Type
journal article
Language
en
Open access
closed

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