We present a new approximation algorithm to the discrete facility location problem providing solutions that are close to the lexicographic minimax optimum.The lexicographic minimax optimum is a concept that allows to find equitable location of facilities serving a large number of customers.The algorithm is Shorts independent of general purpose solvers and instead uses algorithms originally designed to solve the p-median problem.By numerical experiments, we demonstrate that our algorithm allows increasing the size of solvable problems and provides high-quality solutions.
The algorithm found an optimal solution for all tested instances where we could compare the results Mounting Hardware with the exact algorithm.