Competitive Multifacility Location on Networks: the ("r"∣"X"

We investigate the ("r"∣"X"_"p")-medianoid problem for networks. This is a competitive location problem that consists of determining the locations of "r" facilities belonging to a firm in order to maximize its market share in a space where a competitor is already operating with "p" facilities. We consider six scenarios resulting from the combination of three customer choice rules (binary, partially binary, and proportional) with two types of services (essential and unessential). Copyright Blackwell Publishers, 2004