A Constructive Heuristic for the Uniform Capacitated Vertex k-center Problem
Authors: 
José Alejandro Cornejo-Acosta, Jesús García-Díaz, Julio César Pérez-Sansalvador, Roger Z. Ríos-Mercado, Saúl Eduardo Pomares-HernándezAuthors Info & Claims
José Alejandro Cornejo-Acosta, Jesús García-Díaz, Julio César Pérez-Sansalvador, Roger Z. Ríos-Mercado, Saúl Eduardo Pomares-HernándezAuthors Info & ClaimsArticle No.: 1.6, Pages 1 - 26
Abstract
The uniform capacitated vertex k-center problem is an 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 article 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 heuristic, including an analysis of the effect of a parallel implementation of the algorithm, which significantly improved the running time for relatively large instances.
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Index Terms
- A Constructive Heuristic for the Uniform Capacitated Vertex k-center Problem
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Publication History
Published: 11 August 2023
Online AM: 22 June 2023
Accepted: 16 May 2023
Revised: 06 April 2023
Received: 03 February 2022
Published in JEA Volume 28
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