线形图上可容设施定位问题的改进精确算法

E. Gimadi, A. Shtepa, O. Tsidulko
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引用次数: 1

摘要

在可容设施选址问题(CFLP)中,目标是在考虑对设施容量的附加限制的情况下,将设施最优地放置在交通网络图的顶点,以最小化总设施开放和运输成本。一般的问题是np困难的。本文研究了CFLP的一种特殊情况,其中输入交通网络图为线形图。我们展示了如何在[Mirchandani et al., 1996]的线形图上将最著名的伪多项式时间算法的运行时间提高一个阶。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Improved Exact Algorithm for the Capacitated Facility Location Problem on a Line Graph
In the Capacitated Facility Location Problem (CFLP) the goal is to optimally place facilities at the vertices of a transportation network graph in order to minimize the total facility opening and transportation costs while considering additional restrictions on the facility capacities. The general problem is NP-hard. In this paper we study a special case of the CFLP, where the input transportation network graph is a line graph. We show how to improve the running-time of the best known pseudopolynomial-time algorithm for the CFLP on a line graph from [Mirchandani et al., 1996] by one order.
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