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Optimal Allocation of Water Resources Using a Two-Stage Stochastic Programming Method with Interval and Fuzzy Parameters

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Abstract

Efficient water allocation is one of the most prominent issues in water resources management. In this research, a two-stage interval-parameter stochastic fuzzy programming with type 2 membership functions was used to allocate water resources optimally to different users under uncertainty. This method can handle uncertainties expressed as probability distributions, discrete intervals, and fuzzy sets. The model considers treated wastewater as an allocable water resource in a scenario, in addition to water that is extracted from wellheads, springs, and qanats. Moreover, the loss rate of water during distribution, surplus water in the reservoir in the previous and the next period, and treated wastewater parameters have been incorporated into the model. This model was applied to a case study of water resources allocation within a multi-user and multi-reservoir context in the Zarand region of Kerman, Iran. The results indicate that reasonable solutions have been generated, in the form of interval and fuzzy information under different scenarios that could help managers provide optimal water resources allocation plans. The results also demonstrate that establishing a wastewater treatment station increases the system net benefits, surplus water in wellheads for the next period, and system reliability (level of satisfying the fuzzy goal and constraints), and decreases encountering water shortages.

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Acknowledgments

This research was supported by Kerman Regional Water Company under Grant 97/02.

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Authors and Affiliations

  1. Department of Industrial Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran

    Tooraj Khosrojerdi, Seyed Hamed Moosavirad & Shahram Ariafar

  2. Department of Civil Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran

    Mahnaz Ghaeini-Hessaroeyeh

Authors
  1. Tooraj Khosrojerdi
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  2. Seyed Hamed Moosavirad
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  3. Shahram Ariafar
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  4. Mahnaz Ghaeini-Hessaroeyeh
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Correspondence to Seyed Hamed Moosavirad.

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Khosrojerdi, T., Moosavirad, S.H., Ariafar, S. et al. Optimal Allocation of Water Resources Using a Two-Stage Stochastic Programming Method with Interval and Fuzzy Parameters. Nat Resour Res 28, 1107–1124 (2019). https://doi.org/10.1007/s11053-018-9440-1

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  • DOI: https://doi.org/10.1007/s11053-018-9440-1

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