José Alejandro Cornejo Acosta, Jesús García Díaz, Julio César Pérez Sansalvador, R. Z. Ríos-Mercado, Saúl Eduardo Pomares Hernández
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引用次数: 0
Abstract
The uniform capacitated vertex k-center problem is an \(\mathcal {NP} \) -hard combinatorial optimization problem that models real situations where k centers can only attend a maximum number of customers, and the travel time or distance from the customers to their assigned center has to be minimized. This paper introduces a polynomial-time constructive heuristic algorithm that exploits the relationship between this problem and the minimum capacitated dominating set problem. The proposed heuristic is based on the one-hop farthest-first heuristic that has proven effective for the uncapacitated version of the problem. We carried out different empirical evaluations of the proposed heuristics, including an analysis of the effect of a parallel implementation of the algorithm, which significantly improved the running time for relatively large instances.
期刊介绍:
The ACM JEA is a high-quality, refereed, archival journal devoted to the study of discrete algorithms and data structures through a combination of experimentation and classical analysis and design techniques. It focuses on the following areas in algorithms and data structures: ■combinatorial optimization ■computational biology ■computational geometry ■graph manipulation ■graphics ■heuristics ■network design ■parallel processing ■routing and scheduling ■searching and sorting ■VLSI design