Technical Note—Equivalence between the Direct Search Approach and the Cut Approach to the Rectilinear Distance Location Problem

Picard and Ratliff recently proposed a cut approach to the rectilinear distance location problem and claimed it is fundamentally different from the direct search approach as developed by Pritsker and Ghare, Rao, Juel and Love, and Sherali and Shetty. Our objective is to show that the cut approach is essentially a direct search approach.