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Speeding up the optimal method of Drezner for the \(p\)-centre problem in the plane. (English) Zbl 1394.90383
Summary: 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.

90B80 Discrete location and assignment
90B85 Continuous location
90C59 Approximation methods and heuristics in mathematical programming
90C60 Abstract computational complexity for mathematical programming problems
Full Text: DOI
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