The mixed capacitated general routing problem under uncertainty

Patrizia Beraldi, Maria Elena Bruni, Demetrio Laganà and Roberto Musmanno

European Journal of Operational Research, 2015, vol. 240, issue 2, 382-392

Abstract: We study the General Routing Problem defined on a mixed graph and with stochastic demands. The problem under investigation is aimed at finding the minimum cost set of routes to satisfy a set of clients whose demand is not deterministically known. Since each vehicle has a limited capacity, the demand uncertainty occurring at some clients affects the satisfaction of the capacity constraints, that, hence, become stochastic. The contribution of this paper is twofold: firstly we present a chance-constrained integer programming formulation of the problem for which a deterministic equivalent is derived. The introduction of uncertainty into the problem poses severe computational challenges addressed by the design of a branch-and-cut algorithm, for the exact solution of limited size instances, and of a heuristic solution approach exploring promising parts of the search space. The effectiveness of the solution approaches is shown on a probabilistically constrained version of the benchmark instances proposed in the literature for the mixed capacitated general routing problem.

Keywords: Routing problem; Mixed graph; Neighborhood search; Probabilistic constraints (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:240:y:2015:i:2:p:382-392

DOI: 10.1016/j.ejor.2014.07.023

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