This study comes to grips with the industrial outranking problem, one of the major outstanding problems of current operations research and managerial decision-making. The problem, simply stated, is this: given a large but finite set of criteria, and a large but finite number of alternatives, how...

In this paper I describe group theoretic methods that can be used for analyzing the boundary problems, which arise when the Hamiltonian method is applied to solve the relaxed problem for the multidimensional screening problem. This technique can provide some useful insights into the structure of...