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EnglishWe study the General Routing Problem defined on a mixed graph and with stochastic demands. The problem under investigation is aimed atfinding 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, thedemand 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 programmingformulation 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.
The Mixed Capacitated General Routing Problem under Uncertainty / Beraldi, P; Bruni, Me; Laganà, D; Musmanno, R. - In: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. - ISSN 0377-2217. - 240:2(2015), pp. 382-392.
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| Titolo: | The Mixed Capacitated General Routing Problem under Uncertainty |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Rivista: | |
| Citazione: | The Mixed Capacitated General Routing Problem under Uncertainty / Beraldi, P; Bruni, Me; Laganà, D; Musmanno, R. - In: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. - ISSN 0377-2217. - 240:2(2015), pp. 382-392. |
| Handle: | http://hdl.handle.net/20.500.11770/138085 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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