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O. Berman, D. Bertsimas and R.C. Larson, “Locating Discretionary Service Facilities, II: Maximizing Market Size, Minimizing Inconvenience,” Operations Research, Vol. 43, No. 4, 1995, pp. 623-632. doi:10.1287/opre.43.4.623

has been cited by the following article:

• TITLE: Distribution of Deviation Distance to Alternative Fuel Stations

  AUTHORS: Masashi Miyagawa

  KEYWORDS: Location; Flow Demand; Vehicle Range; Shortest Distance; Round Trip

  JOURNAL NAME: American Journal of Operations Research, Vol.3 No.3, May 23, 2013

  ABSTRACT: This paper derives the distribution of the deviation distance to visit an alternative fuel station. Distance is measured as the Euclidean distance on a continuous plane. The distribution explicitly considers the vehicle range and whether the round trip between origin and destination can be made. Three cases are examined: fuel is available at both origin and destination, fuel is available at either origin or destination, and fuel is available at neither origin nor destination. The analytical expressions for the distribution demonstrate how the vehicle range, the shortest distance, and the refueling availability at origin and destination affect the deviation distance. The distribution will thus be useful to estimate the number of vehicles refueled at a station.