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The strategic location of servers by a firm in a competitive environment is basic in the determination or division of market shares. Let us suppose that a firm wants to locate p servers so as to maximize market capture in a region where competitors are already located but where there is uncertainty—there are several possible future scenarios with respect to demand and/or the location of competitors. The firm will want a strategy of positioning that will do as ‘well as possible’ over the future scenarios. In this paper we will present a discrete location model formulation to address this maximum capture problem with uncertainty.