“…Unlike any of the available algorithmic methods for computing the quality of a proposed set of assignments based upon OMACS, i.e., agents, a i A OMACS , assigned to play roles, r k R OMACS , in order to achieve goals, g j G OMACS , where no mathematical programming model is derived due to the approach adopted, i.e., step-by-step computation [4], [20], [30], [33], [37], [38]; we propose a simple mathematical programming model, which is derived from the maximal structure, generated by algorithm MSG, and does not impair the optimality of the resultant solution.…”