To be more relevant in the real world, many researchers have proposed various capacitated MCLP models. Chung, Schilling and Carbone (1983) and Current and Storbeck (1988) published two early papers dealing with the capacitated MCLP models. A few papers added maximum capacity constraints into the mathematical models of the MCLP to ensure that the demands allocated to a facility would not exceed the capacity of that facility. Haghani (1996) proposed a multi-objective capacitated MCLP Model where the objective function maximizes the weighted covered demand while simultaneously minimizing the average distance from the uncovered demands to the located facilities. He showed how to ensure the maximization of the weighted