Water allocation decision making under uncertainty condition using robust counterpart programming and multiple objectives

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NASIRI GHEIDARI O.; MAROFI S.

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Journal: Journal of Water and Soil Conservation Year:2018 | Volume:25 | Issue:2 Page(s): 71-89

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Title

Water allocation decision making under uncertainty condition using robust counterpart programming and multiple objectives

Author(s)

NASIRI GHEIDARI O. | MAROFI S. | Issue Writer Certificate

Keywords

ɛ-Constraint methodQ1

Knee pointQ1

Robust counterpartQ1

Water allocationQ1

UncertaintyQ1

Abstract

Background and Objectives: Considering the existence of Uncertainty in the data of water resource problems, it has become more essential to design a reliable water resource allocation model under Uncertainty condition. Due to multi-dimensional nature of optimal Water allocation problem, considering multiple conflicting objectives within the optimization models is inevitable. The aim of this study is to provide a quantity-quality optimization model which not only balances the economic and environmental objectives, but also remains robust under Uncertainty conditions. Materials and Methods: The nominal model of the study was constructed aimed at maximizing the income of the entire system and minimizing pollution load entered to the river. It was applied to the Dez-Karoon river system as a case study. Considering the uncertainties of river flow and water demands, the nominal model was promoted to a robust multi-objective optimization model using the Bertsimas and Sim's approach. The sensitivity of the robust model to changes in Uncertainty levels and the probability of constraint violation was investigated. The ɛ-Constraint method was used to solve the problem and the nominal model was applied to assess the results of the developed model. Among optimal solutions set, Knee point of the Pareto front was chosen as the final solution. Results: Results from the application of the developed method for optimal water resource allocation in this case study revealed its efficiency and ability to solve the problem quickly and accurately. Comparison of the optimal solution of Knee points showed that hedging the optimization model against uncertainties by considering the Uncertainty level and violation probability of 0. 1, requires the decrease in operating the river water from 8301. 5 to 7291. 2 MCM/year and adjustment of the economic income from 1, 636, 808 to 1, 365, 693 million Rial/year in comparison to the nominal model. Under such a condition in which prevents the failure of supplying water under a given level of risk, the pollution load discharged into the river will decrease from 53, 949 to 48, 505 ton/ year. The results indicated that without adding extra complexity into the nominal model, it can be immunized against uncertainties using the robust approach. By determination of the Uncertainty level and the probability of constraint violation, the decision maker is able to select the robustness level of the water resource allocation model and therefore, explore tradeoff among the values of the objectives and reliability of the system. Conclution: The results demonstrate the satisfactory, high reliability and flexibility of the proposed robust model. Accordingly, the linear model provided in this study may be used as a user-friendly tool in the decision making process for optimal allocation of water resources.

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APA: Copy

NASIRI GHEIDARI, O., & MAROFI, S.. (2018). Water allocation decision making under uncertainty condition using robust counterpart programming and multiple objectives. JOURNAL OF WATER AND SOIL CONSERVATION (JOURNAL OF AGRICULTURAL SCIENCES AND NATURAL RESOURCES), 25(2 ), 71-89. SID. https://sid.ir/paper/156339/en

Vancouver: Copy

NASIRI GHEIDARI O., MAROFI S.. Water allocation decision making under uncertainty condition using robust counterpart programming and multiple objectives. JOURNAL OF WATER AND SOIL CONSERVATION (JOURNAL OF AGRICULTURAL SCIENCES AND NATURAL RESOURCES)[Internet]. 2018;25(2 ):71-89. Available from: https://sid.ir/paper/156339/en

IEEE: Copy

O. NASIRI GHEIDARI, and S. MAROFI, “Water allocation decision making under uncertainty condition using robust counterpart programming and multiple objectives,” JOURNAL OF WATER AND SOIL CONSERVATION (JOURNAL OF AGRICULTURAL SCIENCES AND NATURAL RESOURCES), vol. 25, no. 2 , pp. 71–89, 2018, [Online]. Available: https://sid.ir/paper/156339/en

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