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Robust Water Supply Chain Network Design under Uncertainty in Capacity

Author

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  • Marzieh Mozafari

    (Electronic Branch, Islamic Azad University)

  • Alireza Zabihi

    (Electronic Branch, Islamic Azad University)

Abstract

This paper focuses on the capacity uncertainty in water supply chains that occurs when facilities face disruption. A combination of scenario-based two-stage stochastic programming with the min-max robust optimization approach is proposed to optimize the water supply chain network design problem. In the first stage, the decisions are made on locations and capacities of reservoirs and water-treatment plants while recourse decisions including amount of water extraction, amount of water refinement, and consequently amount of water held in reservoirs are made at the second stage. The proposed robust two-stage stochastic programming model can help decision makers consider the impacts of uncertainties and analyze trade-offs between system cost and stability. The literature reveals that most exact methods are not able to tackle the computational complexity of mixed integer non-linear two-stage stochastic problems at large scale. Another contribution of this study is to propose two metaheuristics - a particle swarm optimization (PSO) and a bat algorithm (BA) - to solve the proposed model in large-scale networks efficiently in a reasonable time. The developed model is applied to several hypothetical cases of water resources management systems to evaluate the effectiveness of the model formulation and solution algorithms. Sensitivity analyses are also carried out to analyze the behavior of the model and the robustness approach under parameters variations.

Suggested Citation

  • Marzieh Mozafari & Alireza Zabihi, 2020. "Robust Water Supply Chain Network Design under Uncertainty in Capacity," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(13), pages 4093-4112, October.
    • Handle: RePEc:spr:waterr:v:34:y:2020:i:13:d:10.1007_s11269-020-02658-6
    DOI: 10.1007/s11269-020-02658-6
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    References listed on IDEAS

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    1. J. Yazdi, 2016. "Decomposition based Multi Objective Evolutionary Algorithms for Design of Large-Scale Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(8), pages 2749-2766, June.
    2. Rong Tang & Ke Li & Wei Ding & Yuntao Wang & Huicheng Zhou & Guangtao Fu, 2020. "Reference Point Based Multi-Objective Optimization of Reservoir Operation: a Comparison of Three Algorithms," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(3), pages 1005-1020, February.
    3. J. Pablo Ortiz-Partida & Taher Kahil & Tatiana Ermolieva & Yuri Ermoliev & Belize Lane & Samuel Sandoval-Solis & Yoshihide Wada, 2019. "A Two-Stage Stochastic Optimization for Robust Operation of Multipurpose Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(11), pages 3815-3830, September.
    4. L.F. Escudero, 2000. "WARSYP: a robust modeling approach for water resources system planning under uncertainty," Annals of Operations Research, Springer, vol. 95(1), pages 313-339, January.
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    Cited by:

    1. Yuhong Shuai & Liming Yao, 2021. "Adjustable Robust Optimization for Multi-Period Water Allocation in Droughts Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(12), pages 4043-4065, September.
    2. Siddappa Pallavi & Shivamurthy Ravindra Yashas & Kotermane Mallikarjunappa Anilkumar & Behzad Shahmoradi & Harikaranahalli Puttaiah Shivaraju, 2021. "Comprehensive Understanding of Urban Water Supply Management: Towards Sustainable Water-socio-economic-health-environment Nexus," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(1), pages 315-336, January.
    3. Bohong Wang & Yongtu Liang & Wei Zhao & Yun Shen & Meng Yuan & Zhimin Li & Jian Guo, 2021. "A Continuous Pump Location Optimization Method for Water Pipe Network Design," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(2), pages 447-464, January.
    4. Lihong Pan & Miyuan Shan, 2024. "Optimization of Sustainable Supply Chain Network for Perishable Products," Sustainability, MDPI, vol. 16(12), pages 1-22, June.
    5. Swati Sirsant & M. Janga Reddy, 2021. "Optimal Design of Pipe Networks Accounting for Future Demands and Phased Expansion using Integrated Dynamic Programming and Differential Evolution Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(4), pages 1231-1250, March.

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