Gradual cover competitive facility location

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

OR Spectrum: Quantitative Approaches in Management, 2020, vol. 42, issue 2, No 1, 333-354

Abstract: Abstract A new gradual cover competitive facility location model is proposed and tested. In cover competitive models, it is assumed that up to a certain distance a demand point is attracted to a facility and beyond this distance it is not. The decline in attraction and cover is abrupt. It is either 0 or 1. We propose a gradual decline in attraction from 1 to 0. As the distance increases the attraction and cover decline. The buying power captured by a facility cannot exceed its attraction level, and the total buying power captured by all facilities cannot exceed the buying power available at the demand point. The single-facility location is optimally solved. The largest problem of 1000 demand points is solved in less than one second. The multiple facility version is solved by SNOPT and other solvers.

Keywords: Facility location; Competitive facilities; Gradual cover (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00291-020-00585-x

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