Factorial two-stage stochastic programming for water resources management

Abstract

This study presents a factorial two-stage stochastic programming (FTSP) approach for supporting water resource management under uncertainty. FTSP is developed through the integration of factorial analysis and two-stage stochastic programming (TSP) methods into a general modeling framework. It can handle uncertainties expressed as probability distributions and interval numbers. This approach has two advantages in comparison to conventional inexact TSP methods. Firstly, FTSP inherits merits of conventional inexact two-stage optimization approaches. Secondly, it can provide detailed effects of uncertain parameters and their interactions on the system performance. The developed FTSP method is applied to a hypothetical case study of water resources systems analysis. The results indicate that significant factors and their interactions can be identified. They can be further analyzed for generating water allocation decision alternatives in municipal, industrial and agricultural sectors. Reasonable water allocation schemes can thus be formulated based on the resulting information of detailed effects from various impact factors and their interactions. Consequently, maximized net system benefit can be achieved.

Water resources management under uncertainty: factorial multi-stage stochastic program with chance constraints

“…Modeling of system responses in water resources management is essential since it can offer bases for further optimization analysis (Zhou and Huang 2011). Nevertheless, there are a variety of uncertainties involved in modeling efforts.…”

Investigating the Dynamic Influence of Hydrological Model Parameters on Runoff Simulation Using Sequential Uncertainty Fitting-2-Based Multilevel-Factorial-Analysis Method

“…The factorial analysis is a multivariable reasoning method. It performs excellently in testing the effects of individual variables and their interactions on the dependent variable [33][34][35]. Factors A and B have m and n levels, respectively.…”

Managing water resources system in a mixed inexact environment using superiority and inferiority measures

“…Therefore, there is an urgent need to develop innovative approaches for efficient, equitable and sustainable water-resources management under uncertainties. Previously, there were many optimization methods for assisting in the formulation of water resources management plans generally based on interval, fuzzy, and stochastic programming approaches (Huang 1996;Colby et al 2000;Despic and Simonovic 2000;Watkins et al 2000;Akter and Simonovic 2005;Chang 2005;Lee and Chang 2005;Maqsood et al 2005;Fu 2008;Li et al 2009;Liu and Huang 2009;Zarghami and Szidarovszky 2009;Guo et al 2010a;Li and Huang 2010b;Zhou and Huang 2011). For example, Huang (1996) proposed an interval-parameter programming (IPP) method for dealing with uncertainties expressed as interval numbers in an agricultural water resources management system.…”