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A dynamic programming operator for tour location problems applied to the covering tour problem

Leticia Vargas (), Nicolas Jozefowiez () and Sandra Ulrich Ngueveu ()
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Leticia Vargas: CNRS, LAAS
Nicolas Jozefowiez: CNRS, LAAS
Sandra Ulrich Ngueveu: CNRS, LAAS

Journal of Heuristics, 2017, vol. 23, issue 1, No 3, 53-80

Abstract: Abstract This paper presents an evaluation operator for single-trip vehicle routing problems where it is not necessary to visit all the nodes. Such problems are known as Tour Location Problems. The operator, called Selector, is a dynamic programming algorithm that converts a given sequence of nodes into a feasible tour. The operator returns a subsequence of this giant tour which is optimal in terms of length. The procedure is implemented in an adaptive large neighborhood search to solve a specific tour location problem: the Covering Tour Problem. This problem consists in finding a lowest-cost Hamiltonian cycle over a subset of nodes such that nodes outside the tour are within a given distance from a visited node. The metaheuristic proposed is competitive as shown by the quality of results evaluated using the output of a state-of-the-art exact algorithm.

Keywords: Evaluation operator; Dynamic programming; Adaptive large neighborhood search; Covering tour problem; Tour location problems (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10732-017-9324-2

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