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A Branch-and-Price Algorithm for Combined Location and Routing Problems Under Capacity Restrictions

Z. Akca (zelihaakca***at***lehigh.edu)
R.T. Berger (rosemary.berger***at***verizon.net)
T.K. Ralphs (ted***at***lehigh.edu)

Abstract: We investigate the problem of simultaneously determining the location of facilities and the design of vehicle routes to serve customer demands under vehicle and facility capacity restrictions. We present a set-partitioning-based formulation of the problem and study the relationship between his formulation and the graph-based formulations that have been used in previous studies of this problem. We describe a branch-and-price algorithm based on the set-partitioning formulation and discuss computational experience with both exact and heuristic variants of this algorithm.

Keywords: Branch and price, Column Generation, Vehicle routing, Integer programming

Category 1: Applications -- OR and Management Sciences (Transportation )

Category 2: Integer Programming ((Mixed) Integer Linear Programming )

Category 3: Combinatorial Optimization (Other )

Citation: COR@L Laboratory Technical Report, Lehigh University

Download: [PDF]

Entry Submitted: 06/24/2008
Entry Accepted: 06/24/2008
Entry Last Modified: 09/18/2008

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