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Mathematical Problems in Engineering
Volume 2013, Article ID 482095, 15 pages
Research Article

An Inventory-Theory-Based Inexact Multistage Stochastic Programming Model for Water Resources Management

1MOE Key Laboratory of Regional Energy Systems Optimization, Sino-Canada Energy and Environmental Research Academy, North China Electric Power University, Zhuxinzhuang, Beijing 102206, China
2Faculty of Engineering and Applied Science, University of Regina, Regina, SK, Canada S4S 0A2

Received 31 December 2012; Accepted 1 March 2013

Academic Editor: Xiaosheng Qin

Copyright © 2013 M. Q. Suo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An inventory-theory-based inexact multistage stochastic programming (IB-IMSP) method is developed for planning water resources systems under uncertainty. The IB-IMSP is based on inexact multistage stochastic programming and inventory theory. The IB-IMSP cannot only effectively handle system uncertainties represented as probability density functions and discrete intervals but also efficiently reflect dynamic features of system conditions under different flow levels within a multistage context. Moreover, it can provide reasonable transferring schemes (i.e., the amount and batch of transferring as well as the corresponding transferring period) associated with various flow scenarios for solving water shortage problems. The applicability of the proposed IB-IMSP is demonstrated by a case study of planning water resources management. The solutions obtained are helpful for decision makers in not only identifying different transferring schemes when the promised water is not met, but also making decisions of water allocation associated with different economic objectives.