Title
The generalized maximal covering location problem
Abstract
We consider a generalization of the maximal cover location problem which allows for partial coverage of customers, with the degree of coverage being a non-increasing step function of the distance to the nearest facility. Potential application areas for this generalized model to locating retail facilities are discussed.We show that, in general, our problem is equivalent to the uncapacitated facility location problem. We develop several integer programming formulations that capitalize on the special structure of our problem. Extensive computational analysis of the solvability of our model under a variety of conditions is presented.
Year
DOI
Venue
2002
10.1016/S0305-0548(01)00079-X
Computers & OR
Keywords
Field
DocType
uncapacitated facility location problem,maximal cover location problem,integer programming formulation,generalized model,generalized maximal,Integer programming,Strong and weak formulations,nearest facility,partial coverage,extensive computational analysis,Maximal cover location problem,potential application area,non-increasing step function,retail facility
Mathematical optimization,Integer programming,Mathematics,Step function
Journal
Volume
Issue
ISSN
29
6
Computers and Operations Research
Citations 
PageRank 
References 
65
46.85
1
Authors
2
Name
Order
Citations
PageRank
O. Berman11604231.36
Dmitry Krass248382.08