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Capacitated vehicle routing problem on line with unsplittable demands

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  • Yuanxiao Wu

    (School of Science, East China University of Science and Technology)

  • Xiwen Lu

    (School of Science, East China University of Science and Technology)

Abstract

In this paper we study the capacitated vehicle routing problem. An instance of capacitated vehicle routing problem consists of a set of vertices with demands in a metric space, a specified depot, and a capacity bound C. The objective is to find a set of tours originating at the depot that cover all the demands, such that the capacity of each tour does not exceed C and the sum of the tour lengths is minimized. For the case that the metric space is a line and the demands are unsplittable, we provide a $$\frac{5}{3}$$ 5 3 -approximation algorithm. An instance is given to show that the bound is tight.

Suggested Citation

  • Yuanxiao Wu & Xiwen Lu, 2022. "Capacitated vehicle routing problem on line with unsplittable demands," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1953-1963, October.
    • Handle: RePEc:spr:jcomop:v:44:y:2022:i:3:d:10.1007_s10878-020-00565-5
    DOI: 10.1007/s10878-020-00565-5
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    References listed on IDEAS

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