Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 169, Issue 2, Pages 586-605Publisher
ELSEVIER
DOI: 10.1016/j.ejor.2004.08.017
Keywords
Scatter Search; periodic routing problems; arc routing problems
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This paper considers the Periodic Capacitated Arc Routing Problem (PCARP), a natural extension of the well-known CARP to a multi-period horizon. Its objective is to assign a set of service days to each edge in a given network and to solve the resulting CARP for each period, in order to minimize the required fleet size and the total cost of the trips on the horizon. This new and very hard problem has various applications in periodic operations on street networks, like waste collection and sweeping. A greedy heuristic and a Scatter Search (SS) are developed and evaluated on two sets of PCARP instances derived from classical CARP benchmarks. The results show that the SS strongly improves its initial solutions and clearly outperforms the greedy heuristic. Preliminary lower bounds are also provided. As they are not sufficiently tight, the SS is also tested in the single-period case (CARP) for which tight bounds are available: in fact, it competes with one state-of-the-art metaheuristic proposed for the CARP. (c) 2004 Elsevier B.V. All rights reserved.
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