An uncertain two-echelon fixed charge transportation problem.

In the present study, a two-echelon fixed charge transportation problem is investigated under uncertainty. Due to the existence of considerable amount of uncertainties, the demands, supplies, availabilities, fixed charges and transported quantities in this problem are assumed as uncertain variables. The aim is to maximize the total profit under uncertain environments. The expected value model, chance-constrained model and measure chance model are developed, and the deterministic equivalent forms of these models are obtained by inverse uncertainty distribution. Genetic algorithm and particle swarm optimization are proposed to solve the equivalent forms of the models based on the structure of the problem. To verify the effectiveness of these proposed approaches, numerical experiments are performed. [ABSTRACT FROM AUTHOR]