Abstract

The maximal covering and location set covering problems have recently been extended by the introduction of randomness into the availability of serves. These two models sited only one type of servers, for example, ambulances. In this paper, we utilize the notion of randomness in server availability in a system with two types of servers - the fire protection system. We show here how to site limited numbers of engine companies, truck companies and fire stations in such a way as to maximize the calls for service which have an engine company available within an engine covering distance with reliability alpha and a truck company available with the same reliability within a truck covering distance. Thus, coverage is achieved when both types of vehicles are each individually available with reliability alpha. A formulation is presented for this simple structure and computational experience is offered.