Development Of A Fuzzy-queue-based Stochastic Quadratic Program For Water Resources Plannin

Water resources paly a very important role for humankind’s sustainable development. Over the past decades, controversial and conflict-laden water allocation issues among competing municipal, industrial and agricultural interests have raised increasing concerns. Particularly, growing population, varying natural condition, shrinking water availability, and deteriorating water quality have exacerbated such competitions. In this study, a fuzzy-queue (FQ)-based inexact stochastic quadratic programming (SQP) method is firstly developed through coupling FQ technique with inexact SQP. FQ-SQP improves upon the existing stochastic programming methods by considering the effects of queuing phenomenon during the water resources allocation process. FQ-SQP cannot only handle uncertainties expressed as interval values, random variables, and fuzzy sets, but also tackle nonlinearity in the objective function; more importantly, it can reflect the effects of FQ on water resources allocation and system benefit. The FQ-SQP model is applied to a case study of planning water resources management. Based on α-cut analysis technique, interval solutions with fuzzy arrival and service rates have been generated, which result in different water resources allocation patterns as well as changed waiting water amounts and system benefits. The results will help managers establish effective water exploitation and allocation policies, and thus facilitate water resources sustainability.