Developing a Multi-Objective Linear Model for an Optimal Water Allocation Based on Four Bankruptcy Rules and Solve it Through the Fuzzy Compromise Approach

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Nafarzadegan Ali Reza; VAGHARFARD HASSAN; NIKOO MOHAMMAD REZA; NOHEGAR AHMAD

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Journal: Watershed Management Research Year:2019 | Volume:32 | Issue:3 (124) Page(s): 95-110

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Title

Developing a Multi-Objective Linear Model for an Optimal Water Allocation Based on Four Bankruptcy Rules and Solve it Through the Fuzzy Compromise Approach

Author(s)

Nafarzadegan Ali Reza | VAGHARFARD HASSAN | NIKOO MOHAMMAD REZA | NOHEGAR AHMAD | Issue Writer Certificate

Keywords

Agricultural water managementQ1

environmental water needQ1

multi-objective optimizationQ1

uncertaintyQ1

water bankruptcyQ1

Abstract

A multi-objective linear optimization model has been formulated, which is used for water and crop area allocation in two irrigation and drainage networks of Dorudzan and Karbal, including five farming regions. The developed model is based on four bankruptcy rules of proportional cutback (PC), constrained equal awards (CEL), constrained equal losses (CEL), and adjusted proportional (APR) in terms of the certainty and uncertainty in the water availability. The developed model has four objective functions to reflect the various agricultural and environmental consumptions and is solved for two dry and non-dry conditions using a fuzzy compromise approach. The outputs of the model showed that the regions with higher shares of water receives the most allocated water through the bankruptcy rules of the PC and CEL in dry and non-dry condition, respectively. On the other hand, the most allocated water for the regions with lower shares of water occurs through the bankruptcy rule of the CEA in both hydro-climatic conditions. The outcome of the stability evaluation using the bankruptcy stability index (BASI) indicated that this criterion could not be used to evaluate stability under all bankruptcy situations; thus, one should take the necessary precaution for making a decision according to its output.

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APA: Copy

Nafarzadegan, Ali Reza, VAGHARFARD, HASSAN, NIKOO, MOHAMMAD REZA, & NOHEGAR, AHMAD. (2019). Developing a Multi-Objective Linear Model for an Optimal Water Allocation Based on Four Bankruptcy Rules and Solve it Through the Fuzzy Compromise Approach. WATERSHED MANAGEMENT RESEARCHES (PAJOUHESH-VA-SAZANDEGI), 32(3 (124) ), 95-110. SID. https://sid.ir/paper/402789/en

Vancouver: Copy

Nafarzadegan Ali Reza, VAGHARFARD HASSAN, NIKOO MOHAMMAD REZA, NOHEGAR AHMAD. Developing a Multi-Objective Linear Model for an Optimal Water Allocation Based on Four Bankruptcy Rules and Solve it Through the Fuzzy Compromise Approach. WATERSHED MANAGEMENT RESEARCHES (PAJOUHESH-VA-SAZANDEGI)[Internet]. 2019;32(3 (124) ):95-110. Available from: https://sid.ir/paper/402789/en

IEEE: Copy

Ali Reza Nafarzadegan, HASSAN VAGHARFARD, MOHAMMAD REZA NIKOO, and AHMAD NOHEGAR, “Developing a Multi-Objective Linear Model for an Optimal Water Allocation Based on Four Bankruptcy Rules and Solve it Through the Fuzzy Compromise Approach,” WATERSHED MANAGEMENT RESEARCHES (PAJOUHESH-VA-SAZANDEGI), vol. 32, no. 3 (124) , pp. 95–110, 2019, [Online]. Available: https://sid.ir/paper/402789/en

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