Directional approach to gradual cover: the continuous case

Tammy Drezner (), Zvi Drezner () and Pawel Kalczynski ()
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Tammy Drezner: California State University-Fullerton
Zvi Drezner: California State University-Fullerton
Pawel Kalczynski: California State University-Fullerton

Computational Management Science, 2021, vol. 18, issue 1, No 2, 25-47

Abstract: Abstract The objective of the cover location models is covering demand by facilities within a given distance. The gradual (or partial) cover replaces abrupt drop from full cover to no cover by defining gradual decline in cover. In this paper we use a recently proposed rule for calculating the joint cover of a demand point by several facilities termed “directional gradual cover”. Contrary to all gradual cover models, the joint cover depends on the facilities’ directions. In order to calculate the joint cover, existing models apply the partial cover by each facility disregarding their direction. We develop a genetic algorithm to solve the facilities location problem and also solve the problem for facilities that can be located anywhere in the plane. The proposed modifications were extensively tested on a case study of covering Orange County, California.

Keywords: Location; Genetic algorithm; Cover location models; Partial cover; Gradual cover (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10287-020-00378-1

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