We consider the Stackelberg facility location game in urban area. This is a competitive model for nonessential facility such as fast food restaurant, coffee shop, etc. Commuters at demand points are assumed to visit the facility on their way to the nearest station, only when they feel the facility is near. We introduce side-trip distance and concept of nearness for this model. We formulate medianoid problem and centroid problem which objectives are to determine the best location for the follower and for the leader respectively. We propose Recursive Genetic Algorithms with parallel processing to find the approximate solutions for these problems and show the result of numerical experiments.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.