Water Allocation of Latian Dam between Agricultural Products under Uncertainty

Document Type : Research Article

Authors

1 Ferdowsi University of Mashhad

2 Zabol University

Abstract

In the present study, water allocation of Latian Dam between agricultural products was evaluated by using inexact two-stage optimization model and the final results were compared to a fuzzy interval. Data were collected from the Regional Water and Agricultural Organization of Tehran province for 1991 to 2009 years. The results showed that by using interval fuzzy programming, 63%, 69%, 49% and 33% of water requirements of barley, agricultural products, vegetables and forage maize crops would be required at the best condition, respectively but the final amount of water allocated to wheat is not known accurately. Also by using inexact two-stage optimization model in the case that water demand reaches to its lowest value, the system administrator works conservatively, and promises low water demand goal to the consumers. This will cause water shortage compared to the optimum condition. But when the target water demand reaches to the highest level, the manager put the water optimistically to the consumers. In this case, water shortage variable would increase in comparison to the optimum case. Comparison of the two models showed that the inexact fuzzy two-stage optimization model simultaneously increases system profit and uncertainty.

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