This work presents an extension of the p-center problem. In this new model,
called Stratified p-Center Problem (SpCP), the demand is concentrated in a set
of sites and the population of these sites is divided into different strata
depending on the kind of service that they require. The aim is to locate p
centers to cover the different types of services demanded minimizing the
weighted average of the largest distances associated with each of the different
strata. In addition, it is considered that more than one stratum can be present
at each site. Different formulations, valid inequalities and preprocessings are
developed and compared for this problem. An application of this model is
presented in order to implement a heuristic approach based on the Sample
Average Approximation method (SAA) for solving the probabilistic p-center
problem in an efficient way.Comment: 32 pages, 1 pictur
