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Reservoir Operation with Fuzzy State Variables for Irrigation of Multiple Crops

Kumari, Sangeeta and Mujumdar, PP (2015) Reservoir Operation with Fuzzy State Variables for Irrigation of Multiple Crops. In: JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING, 141 (11).

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Official URL: http://dx.doi.org/10.1061/(ASCE)IR.1943-4774.00008...


This paper presents the development and application of a stochastic dynamic programming model with fuzzy state variables for irrigation of multiple crops. A fuzzy stochastic dynamic programming (FSDP) model is developed in which the reservoir storage and soil moisture of the crops are considered as fuzzy numbers, and the reservoir inflow is considered as a stochastic variable. The model is formulated with an objective of minimizing crop yield deficits, resulting in optimal water allocations to the crops by maintaining storage continuity and soil moisture balance. The standard fuzzy arithmetic method is used to solve all arithmetic equations with fuzzy numbers, and the fuzzy ranking method is used to compare two or more fuzzy numbers. The reservoir operation model is integrated with a daily-based water allocation model, which results in daily temporal variations of allocated water, soil moisture, and crop deficits. A case study of an existing Bhadra reservoir in Karnataka, India, is chosen for the model application. The FSDP is a more realistic model because it considers the uncertainty in discretization of state variables. The results obtained using the FSDP model are found to be more acceptable for the case study than those of the classical stochastic dynamic model and the standard operating model, in terms of 10-day releases from the reservoir and evapotranspiration deficit. (C) 2015 American Society of Civil Engineers.

Item Type: Journal Article
Additional Information: Copy right of this article belongs to the ASCE-AMER SOC CIVIL ENGINEERS, 1801 ALEXANDER BELL DR, RESTON, VA 20191-4400 USA
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Depositing User: Id for Latest eprints
Date Deposited: 19 Nov 2015 04:49
Last Modified: 19 Nov 2015 04:49
URI: http://eprints.iisc.ac.in/id/eprint/52757

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