Behrooz Alizadeh - Alizadeh۱,
Esmaeil Afrashteh - Department of Applied Mathematics, Sahand University of Technology, Tabriz, Iran
Fahimeh Baroughi - Department of Applied Mathematics, Sahand University of Technology, Tabriz, Iran
Kien Trung Nguyen - Department of Mathematics, Cantho University, Cantho, Vietnam

This paper is concerned with a new variant of the inverse median location problem in which the aim is to modify the customer weights such that a predetermined facility location becomes a median location and the total profit obtained via the weight improvements is maximized. We develop novel combinatorial approaches with linear time complexities for solving the problem on tree networks and in the plane under the rectilinear and Chebyshev norms.

median location problem, combinatorial optimization, maximum-profit inverse optimization, time complexity