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Neighbourhood Reduction in Global and Combinatorial Optimization: The Case of the p-Centre Problem

Salhi, Said and Brimberg, Jack (2019) Neighbourhood Reduction in Global and Combinatorial Optimization: The Case of the p-Centre Problem. In: Eiselt, H. A. and Marianov, Vladimir, eds. Contributions to Location Analysis. International Series in Operations Research & Management Science . Springer, pp. 195-220. ISBN 978-3-030-19110-8. (doi:10.1007/978-3-030-19111-5_8) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:77583)

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Language: English

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https://doi.org/10.1007/978-3-030-19111-5_8

Abstract

Neighbourhood reductions for a class of location problems known as the vertex (or discrete) and planar (or continuous) p-centre problems are presented. A brief review of these two forms of the p-centre problem is first provided followed by those respective reduction schemes that have shown to be promising. These reduction schemes have the power of transforming optimal or near optimal methods such as metaheuristics or relaxation-based procedures, which were considered relatively slow, into efficient and exciting ones that are now able to find optimal solutions or tight lower/upper bounds for larger instances. Research highlights of neighbourhood reduction for global and combinatorial optimisation problems in general and for related location problems in particular are also given.

Item Type: Book section
DOI/Identification number: 10.1007/978-3-030-19111-5_8
Uncontrolled keywords: Neighbourhood reduction, p-centre problem, Continuous and discrete spaces, Heuristic search, Optimal methods
Divisions: Faculties > Social Sciences > Kent Business School > Centre for Logistics and Heuristic Organisation (CLHO)
Depositing User: Said Salhi
Date Deposited: 18 Oct 2019 11:30 UTC
Last Modified: 08 Feb 2020 04:11 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/77583 (The current URI for this page, for reference purposes)
Salhi, Said: https://orcid.org/0000-0002-3384-5240
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