Attainment of optimal solution in a semiobnoxious location problem

E. Carrizosa, D. Romero Morales

It is known that if the sum of weights in the Weber problem with attraction and repulsion is positive, then the problem attains an optimal solution.

In this note we extend this result to the nonlinear extension of the abovementioned problem, which has only been addressed in the literature for bounded feasible regions.

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