Continuous Covering on Networks: Strong Mixed Integer Programming Formulations

Covering problems are well-studied in the domain of Operations Research, and, more specifically, in Location Science. When the location space is a network, the most frequent assumption is to consider the candidate facility locations, the points to be covered, or both, to be discrete sets. In this work, we study the set-covering location problem when … Read more

Navigating Concave Regions in Continuous Facility Location Problems

In prior literature regarding facility location problems, there has been little explicit acknowledgement of problems arising from concave (non-convex) regions. By extension, there is a distinct deficiency in existing methods to deal with them outside of problem relaxation. In this work, we present a novel algorithm for finding representative regional center-points, referred to as “Concave … Read more