Competitive facility location problem with attractiveness adjustment of the follower: A bilevel programming model and its solution

Retail location competition under carbon penalty

“…The consumers travel straight lines to the nearest retail store to their home by passenger vehicles (e.g., car) to purchase one unit of the product. This is a standard assumption in the literature; see, for instance, Dobson and Karmakar (1987), Küçükaydın et al (2011), and Cachon (2014). Each retail store visit incurs a transportation cost that is proportional to the distance traveled by the consumer.…”

On competition in a Stackelberg location-design model with deterministic supplier choice

“…The proof also shows that this is not necessarily true if a maximum on the quality a is included into the model that is smaller than W α , which is the natural upper bound. Other location-design models like Kücükaydin et al (2011) and Saidani et al (2012) include such limits in order to obtain numerical results. If both suppliers are not located at the same position, the leader has to maximize W − M (x, y, a, b) − αa, where M(x, y, a, b) is defined in Lemma 1.…”

“…Focusing on the situation of two competing firms in a location-design environment, Fernández and Hendrix (2013) in a recent overview discuss the different situations considered in the papers of Kücükaydin et al (2011), Sáiz et al (2011), Saidani et al (2012, that all use the Huff model with several cost functions on quality to analyse different settings of a firm entering the market. In a two competitor case, one can consider a Nash equilibrium or a Stackelberg situation, as defined before.…”

A firefly algorithm for solving competitive location-design problem: a case study

“…To date, few researches have been done on the locationdesign problem with an unknown number of new facilities (Aboolian et al 2007;Drezner et al 2012;Küçükaydin and Aras 2011;Küçükaydin et al 2012). Aboolian et al (2007) solved the location-design problem in which the demand was assumed to be elastic.…”

“…In Drezner et al (2012), the authors used the cover approach for customer patronizing behavior, and the branch and bound procedure for obtaining the optimal strategy of improving existing and establishing new facilities. In Küçükaydin and Aras (2011) and Küçükaydin et al (2012), location-design problem has been solved for profit maximization objective in the leader-follower case under the condition that the number of new facilities is not fixed.…”