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Effect of Utility Function Curvature of Young’s Bargaining Method on the Design of WDNs

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  • Elahe Fallah-Mehdipour
  • Omid Bozorg Haddad
  • Soheila Beygi
  • Miguel Mariño

Abstract

The optimal design of a water distribution network is a simulation-optimization task that should consider conflicts between different groups of stakeholders directly or indirectly. Investors and consumers are two groups of stakeholders with conflicting goals. Young’s bargaining method is a decision tool based on game theory that can help decision-makers to select one of the design alternatives by considering utilities of stakeholders. In this paper, the optimal design of two benchmark network problems (Two-loop and Hanoi networks) is considered with minimization of design cost and maximization of system efficiency, with respect to increasing hydraulic pressure. In this regard, decision alternatives are first determined by using a multi-objective, fast, messy genetic algorithm (MOFMGA). Young’s bargaining method is then applied with different combinations of utility functions of stakeholders. Results show that the use of the same utility functions for both stakeholders improves 63.23% and 24.47% of investor goals and 79.08% and 45.69% of consumer goals compared to the worst possible alternatives in the Two-loop and Hanoi networks, respectively. Moreover, both investor and consumer goals improve 6.19% and 7.14% in the Two-loop and 22.73% and 6.07% in the Hanoi network using a more concave utility function whose emphasis is on stakeholder utility, respectively. Copyright Springer Science+Business Media B.V. 2011

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  • Elahe Fallah-Mehdipour & Omid Bozorg Haddad & Soheila Beygi & Miguel Mariño, 2011. "Effect of Utility Function Curvature of Young’s Bargaining Method on the Design of WDNs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(9), pages 2197-2218, July.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:9:p:2197-2218
    DOI: 10.1007/s11269-011-9802-5
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    References listed on IDEAS

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    1. Xiqin Wang & Yuan Zhang & Yong Zeng & Changming Liu, 2013. "Resolving Trans-jurisdictional Water Conflicts by the Nash Bargaining Method: A Case Study in Zhangweinan Canal Basin in North China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1235-1247, March.
    2. Mohammad Ehteram & Mohammed Falah Allawi & Hojat Karami & Sayed-Farhad Mousavi & Mohammad Emami & Ahmed EL-Shafie & Saeed Farzin, 2017. "Optimization of Chain-Reservoirs’ Operation with a New Approach in Artificial Intelligence," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(7), pages 2085-2104, May.
    3. Ashkan Shokri & Omid Bozorg Haddad & Miguel Mariño, 2014. "Multi-Objective Quantity–Quality Reservoir Operation in Sudden Pollution," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(2), pages 567-586, January.
    4. S. Seifollahi-Aghmiuni & Omid Bozorg Haddad & M. Omid & M. Mariño, 2013. "Effects of Pipe Roughness Uncertainty on Water Distribution Network Performance During its Operational Period," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1581-1599, March.
    5. Mahsa Jahandideh-Tehrani & Omid Bozorg Haddad & Hugo Loáiciga, 2015. "Hydropower Reservoir Management Under Climate Change: The Karoon Reservoir System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(3), pages 749-770, February.
    6. S. Seifollahi-Aghmiuni & O. Bozorg Haddad & M. Mariño, 2013. "Water Distribution Network Risk Analysis Under Simultaneous Consumption and Roughness Uncertainties," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2595-2610, May.
    7. Omid Bozorg-Haddad & Mahdi Bahrami & Ayda Gholami & Xuefeng Chu & Hugo A. Loáiciga, 2024. "Investigation and classification of water resources management strategies: possible threats and solutions," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 120(11), pages 9867-9892, September.
    8. Mehri Abdi-Dehkordi & Omid Bozorg-Haddad & Abdolrahim Salavitabar & Sahar Mohammad-Azari & Erfan Goharian, 2021. "Development of flood mitigation strategies toward sustainable development," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 108(3), pages 2543-2567, September.

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