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Urban Water Management Using Fuzzy-Probabilistic Multi-Objective Programming with Dynamic Efficiency

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  • Mahdi Zarghami

Abstract

This paper introduces a new multi-objective optimization model for integrated urban water management. The model, based on compromise programming, is applied for the case of Tabriz city in Iran. The water demand of this city is rapidly growing and because of the limited resources, water supply is now more vulnerable to any mismanagement. Therefore the model attempts to optimize the water supply plan of city concerning three main objectives of maximizing the water supply, minimizing the cost and minimizing the environmental hazards. Due to the vagueness in defining the first objective, it is modeled by using the fuzzy set theory. Further, the uncertainty in satisfying some constraints is tackled by using the chance constraint approach. The decision variables are the extent of water withdrawal from the city aquifer, three different water transfer schemes and also the extent of demand management by leaks detection and pipes rehabilitation. Then the fuzzy-probabilistic multi-objective model is solved by considering the new idea of dynamic efficiency in the utility of decision maker and the results provide the optimum water supply in the planning horizon. The model results in robust solutions in which the demand management option dominates the new water transfer. Implementing the results of this model supports the environmental conservation and sustainable development. Copyright Springer Science+Business Media B.V. 2010

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  • Mahdi Zarghami, 2010. "Urban Water Management Using Fuzzy-Probabilistic Multi-Objective Programming with Dynamic Efficiency," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4491-4504, December.
  • Handle: RePEc:spr:waterr:v:24:y:2010:i:15:p:4491-4504
    DOI: 10.1007/s11269-010-9669-x
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    1. Maqsood, Imran & Huang, Guo H. & Scott Yeomans, Julian, 2005. "An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty," European Journal of Operational Research, Elsevier, vol. 167(1), pages 208-225, November.
    2. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    3. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, April.
    4. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    5. Ronald C. Griffin, 2006. "Water Resource Economics: The Analysis of Scarcity, Policies, and Projects," MIT Press Books, The MIT Press, edition 1, volume 1, number 026207267x, April.
    6. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    7. Caballero, Rafael & Cerda, Emilio & del Mar Munoz, Maria & Rey, Lourdes, 2004. "Stochastic approach versus multiobjective approach for obtaining efficient solutions in stochastic multiobjective programming problems," European Journal of Operational Research, Elsevier, vol. 158(3), pages 633-648, November.
    8. Mahdi Zarghami & Ahmad Abrishamchi & Reza Ardakanian, 2008. "Multi-criteria Decision Making for Integrated Urban Water Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(8), pages 1017-1029, August.
    9. Theodor J Stewart, 2005. "Dealing with Uncertainties in MCDA," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 445-466, Springer.
    10. Aregai Tecle & Bijaya P. Shrestha & Lucien Duckstein, 1998. "A multiobjective decision support system for multiresource forest management," Group Decision and Negotiation, Springer, vol. 7(1), pages 23-40, January.
    11. Li, Y.P. & Huang, G.H. & Wang, G.Q. & Huang, Y.F., 2009. "FSWM: A hybrid fuzzy-stochastic water-management model for agricultural sustainability under uncertainty," Agricultural Water Management, Elsevier, vol. 96(12), pages 1807-1818, December.
    12. Stefan Hajkowicz & Kerry Collins, 2007. "A Review of Multiple Criteria Analysis for Water Resource Planning and Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(9), pages 1553-1566, September.
    13. Parviz Fattahi & Saeed Fayyaz, 2010. "A Compromise Programming Model to Integrated Urban Water Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(6), pages 1211-1227, April.
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    Cited by:

    1. S. Ashbolt & S. Maheepala & B. Perera, 2014. "A Framework for Short-term Operational Planning for Water Grids," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(8), pages 2367-2380, June.
    2. Zarghami, Mahdi & Hajykazemian, Hassan, 2013. "Urban water resources planning by using a modified particle swarm optimization algorithm," Resources, Conservation & Recycling, Elsevier, vol. 70(C), pages 1-8.
    3. Jacqueline Corbett, 2013. "Using information systems to improve energy efficiency: Do smart meters make a difference?," Information Systems Frontiers, Springer, vol. 15(5), pages 747-760, November.
    4. Zhihe Chen & Shuai Wei, 2014. "Application of System Dynamics to Water Security Research," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(2), pages 287-300, January.
    5. Gao, Hongchao & Wei, Tong & Lou, Inchio & Yang, Zhifeng & Shen, Zhenyao & Li, Yingxia, 2014. "Water saving effect on integrated water resource management," Resources, Conservation & Recycling, Elsevier, vol. 93(C), pages 50-58.
    6. Anissa Frini & Sarah Benamor, 2018. "Making Decisions in a Sustainable Development Context: A State-of-the-Art Survey and Proposal of a Multi-period Single Synthesizing Criterion Approach," Computational Economics, Springer;Society for Computational Economics, vol. 52(2), pages 341-385, August.
    7. Ali Haghighi & Helena Ramos, 2012. "Detection of Leakage Freshwater and Friction Factor Calibration in Drinking Networks Using Central Force Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2347-2363, June.
    8. Zarghami, Mahdi & Akbariyeh, Simin, 2012. "System dynamics modeling for complex urban water systems: Application to the city of Tabriz, Iran," Resources, Conservation & Recycling, Elsevier, vol. 60(C), pages 99-106.
    9. Xiao-meng Song & Fan-zhe Kong & Che-sheng Zhan, 2011. "Assessment of Water Resources Carrying Capacity in Tianjin City of China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(3), pages 857-873, February.
    10. Lewandowska Aleksandra & Piasecki Adam, 2019. "Selected aspects of water and sewage management in Poland in the context of sustainable urban development," Bulletin of Geography. Socio-economic Series, Sciendo, vol. 45(45), pages 149-157, September.

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