Integrated Goal Programming for Water Resource Management and Water Pollution Control under Uncertainty

Abstract

In this study, an integrated inexact fuzzy chance-constrained goal programming (IFCCGP) approach is proposed for water resource management and effluent control at regional scale under uncertainty. IFCCGP integrated the interval programming (IP), fuzzy programming (FP), chance-constrained programming (CCP) within the goal programming framework. IFCCGP adopted lexicographic goal programming to deal with the preemptive water resource management priorities of different goals from different sectors. IFCCGP incorporated the CCP in its optimization process to analyze different streamflow scenarios and three typical scenarios were discussed. In this case, IFCCGP was applied to a water resource management system with multiple users, which means multiple water withdrawal sites and effluent discharge sites, within a region. Solutions from IFCCGP can provide water allocation patterns that lexicographically optimize the water resource management goals from different aspects according to their preemptive priorities, minimizing their deviation respectively. The reasonable solutions were generated for decision variables, with the optimal membership functions for the goals which represented the satisfaction levels of the goals. Thus a number of decision alternatives can be generated under different streamflow levels. This approach can provide decision makers the desired alternatives with acceptable satisfaction levels. The proposed approach can deal with practical problems associated with variety of uncertain information.