Multiple-objective Optimization for Solving the Resource Allocation Problem

Just as in many other areas, project management makes use of mathematical modeling in cases such as setting strategic goals, formulation of strategies, selection of human resources and realization of the chosen strategy and control. Criteria and restrictions of alternatives are also encompassed in the space of uncertainty and indeterminacy. Resource allocation problem (RAP) is the process of allocating resources among the various projects or business units for maximization of profit or minimization of cost. This paper deals with human resource allocation. We start from a set of individuals who were tested for certain qualities by the experts. Marks given by the experts need not to be exact numbers, but qualitative values, such as: absolutely true, highly true, moderately true etc. Methodology which allows us to model indeterminacy is fuzzy sets theory which is particularly well designed for dealing with non-probabilistic uncertainties. We expand the grading system and, indirectly, coefficients of model constraints which become fuzzy.