Speeding up the optimal method of Drezner for the p-centre problem in the plane

Becky Callaghan, Said Salhi and Gábor Nagy

European Journal of Operational Research, 2017, vol. 257, issue 3, 722-734

Abstract: This paper revisits an early but interesting optimal algorithm first proposed by Drezner to solve the continuous p-centre problem. The original algorithm is reexamined and efficient neighbourhood reductions which are mathematically supported are proposed to improve its overall computational performance. The revised algorithm yields a considerably high reduction in computational time reaching, in some cases, a decrease of 96%. This new algorithm is now able to find proven optimal solutions for large data sets with over 1300 demand points and various values of p for the first time.

Keywords: Location; p-centre problem; Continuous space; Z-maximal circles; Optimal algorithm (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:257:y:2017:i:3:p:722-734

DOI: 10.1016/j.ejor.2016.08.038

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