An Approximation Algorithm for the Facility Location Problem with Lexicographic Minimax Objective

An Approximation Algorithm for the Facility Location Problem with Lexicographic Minimax Objective

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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 independent Hats 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 Bag TagOrnament results with the exact algorithm.