Solving a Location-Allocation problem by a fuzzy self-adaptive NSGA-II

This paper proposes a modified non-dominated sorting genetic algorithm (nsga-ii) for a bi- objective location-allocation model. the purpose is to define the best places and capacity of the distribution centers as well as to allocate consumers, in such a way that uncertain consumers’ demands are satisfied. the objectives of the mixed-integer nonlinear programming (minlp) model are to (1) minimize the total cost of the network and (2) maximize the utilization of distribution centers. to solve the problem, a fuzzy modified nsga-ii with local search is proposed. to illustrate the results, computational experiments are generated and solved. the experimental results demonstrate that the performance metrics of the fuzzy modified nsga-ii is better than the original nsga-ii.