Optimal model for multivariate water supply system under uncertainty

In view of the uncertainty in demand and supply subsystems of multivariate water supply system, an inexact stochastic multi-objective program (ISMOP) was presented for optimal allocation of water source. With maximum economic return and minimum fresh water consumption as objective function, the decision-making variables of the model were water demand quantity of different sectors and waterworks scale, which were constrained by some correlative conditions, such as water resource, economical, environmental and social conditions. The model could be solved by interactive multi-objective planning method and inexact chance-constrained programming (ICCP) two phrase methods. ISMOP model was applied to a regional system in a new developing area of North China. Reasonable solutions for different source water (DSW) allocation and corresponding waterworks scale were obtained. It is proved that the model is scientific, effective and valuable for regional multivariate water supply system, and can provide support for optimal decision making.