Agricultural Water Management under Uncertainty Using Minimax Relative Regret Analysis Method
Publication: Journal of Irrigation and Drainage Engineering
Volume 138, Issue 12
Abstract
In this study, an inexact minimax relative regret analysis (IMRA) method is proposed for planning the agricultural water management under uncertainty. The IMRA incorporates interval-parameter programming (IPP) and minimax relative regret analysis (MRA) within an integer programming framework. IMRA can deal with uncertainties expressed as both interval values and random variables; it is capable of seeking an optimal strategy through analyzing all possible scenarios without any assumption on their probabilities. The IMRA method is then applied to a real case of agricultural water management in the Zhangweinan River Basin, one of the main food and cotton producing regions in North China and facing severe water shortage. An interval relative regret matrix is obtained based on a matrix of interval-element system benefit, and it is helpful for decision makers to identify the optimal irrigation strategy with the maximum system benefit and the minimum worst relative regret.
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Acknowledgements
This research was supported by the Major Project Program of the Natural Sciences Foundation (51190095) and the Program for Innovative Research Team in University (IRT1127). The authors are extremely grateful to the editor and the anonymous reviewers for their insightful comments and suggestions.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 138 • Issue 12 • December 2012
Pages: 1033 - 1045
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Sep 1, 2011
Accepted: Jun 8, 2012
Published online: Jul 27, 2012
Published in print: Dec 1, 2012
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