Facility Location on a Network with Unreliable Links

In this paper we study a simple vulnerability-based stochastic dependency model of link failures in a network prone to disasters. Under this model, we study the problem of locating k facilities to maximize the expected demand serviced within a given distance, and show its equivalence to the well-studied maximum k-facility location problem. In the special case when there is no distance constraint, we give two solutions to the k-facility location problem using dynamic programming and a greedy algorithm.