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Original Articles

An inventory-theory-based interval-parameter two-stage stochastic programming model for water resources management

, &
Pages 999-1018
Received 11 Jul 2010
Accepted 06 Sep 2010
Published online: 02 Feb 2011
 

In this study, an inventory-theory-based interval-parameter two-stage stochastic programming (IB-ITSP) model is proposed through integrating inventory theory into an interval-parameter two-stage stochastic optimization framework. This method can not only address system uncertainties with complex presentation but also reflect transferring batch (the transferring quantity at once) and period (the corresponding cycle time) in decision making problems. A case of water allocation problems in water resources management planning is studied to demonstrate the applicability of this method. Under different flow levels, different transferring measures are generated by this method when the promised water cannot be met. Moreover, interval solutions associated with different transferring costs also have been provided. They can be used for generating decision alternatives and thus help water resources managers to identify desired policies. Compared with the ITSP method, the IB-ITSP model can provide a positive measure for solving water shortage problems and afford useful information for decision makers under uncertainty.

Acknowledgements

This research has been supported by the Natural Sciences Foundation of China (50979001), the Major State Basic Research Development Program of MOST (2005CB724200).

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