Optimal Allocation Of Multi-sources Water Systems For City Under Uncertainty

Based on investigation of uncertainties and complexities existing in the municipal water supply systems with multi-sources,this study makes a detailed introduction to the construction of two inexact models:Interval-parameter two-stage stochastic integer programming(ITSIP) model and inexact multistage stochastic programming(IMSLP) model.Both models minimizes the overall system cost as their main objectives,allowing uncertain parameters presented as both probability distributions and intervals to be incorporated within a general optimization framework.The former can effectively facilitate analysis of the various water supply policy scenarios that are related with economic penalties when the promised targets are violated as well as economic cost for surplus water diversion;the latter reflect the dynamics in terms of decisions for water allocation through transactions at discrete points of a complete scenario set over a multistage context.A case study of Dalian city is provided to demonstrate the applicability of the ITSIP model.Reasonable solutions are generated for both binary and continuous variables.This model can help water resources managers to identify desired water allocation pattern against water shortage and for water diversion control with minimized system cost and system-failure risk.