Multiobjective Stochastic Fractional Goal Programming Model for Water Resources Optimal Allocation among Industries
AbstractThis paper developed a multiobjective stochastic fractional goal programming (MOSFGP) model for optimal water resources allocation among industries based on analyses of water resources quantity, quality, and uncertainty. The model integrated chance constrained programming, fractional programming, and multiobjective goal programming. The developed model was then applied in a real world case study. The developed MOSFGP has the following advantages: (1) the model deals with economic and social objectives simultaneously, thus reflecting the actual situation more realistically; (2) the model in fractional form can determine water resources use efficiency directly; (3) water quantity and water quality are coupled in the model; and (4) the model can generate different optimal schemes under different risk probabilities. Based on the results of the MOSFGP model, decision makers could use water resources efficiently and obtain higher economic and social benefits. The model is also of great significance to i.