Title
A leader-follower game in competitive facility location
Abstract
We address the problem of locating new facilities of a firm or franchise that enters a market where a competitor operates existing facilities. The goal of the new entrant firm is to decide the location and attractiveness of its new facilities that maximize its profit. The competitor can react by opening new facilities, closing existing ones, and adjusting the attractiveness levels of its existing facilities, with the aim of maximizing its own profit. The demand is assumed to be aggregated at certain points in the plane and the new facilities of both the firm and the competitor can be located at predetermined candidate sites. We employ the gravity-based rule in modeling the behavior of the customers where the probability that a customer visits a certain facility is proportional to the facility attractiveness and inversely proportional to the distance between the facility site and demand point. We formulate a bilevel mixed-integer nonlinear programming model where the firm entering the market is the leader and the competitor is the follower. We propose heuristics that combine tabu search with exact solution methods.
Year
DOI
Venue
2012
10.1016/j.cor.2011.05.007
Computers & OR
Keywords
DocType
Volume
new facility,demand point,competitive facility location,own profit,facility attractiveness,certain point,existing facility,facility site,certain facility,attractiveness level,new entrant firm,leader-follower game
Journal
39
Issue
ISSN
Citations 
2
0305-0548
15
PageRank 
References 
Authors
0.70
9
3
Name
Order
Citations
PageRank
Hande Küçükaydin1482.95
Necati Aras246230.62
I. Kuban Altinel318013.18