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A Multi-objective Linear Programming Model with Interval Parameters for Water Resources Allocation in Dalian City

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  • Yan Han
  • Yue-Fei Huang
  • Guang-Qian Wang
  • Imran Maqsood

Abstract

Water resources management has been of concern for many researchers since the contradiction between increased water demand and decreased water supply has become obvious. In the real world, water resources systems usually have complexities among social, economic, natural resources and environmental aspects, which leads to multi-objective problems with significant uncertainties in system parameters, objectives, and their interactions. In this paper, a multi-objective linear programming model with interval parameters has been developed wherein an interactive compromising algorithm has been introduced. Through interactive compromising conflicts among multi-objectives, a feasible solution vector can be obtained. The developed model is then applied to allocation of multi-source water resources with different water qualities to multiple users with different water quality requirements for the Dalian city for 2010, 2015 and 2020 planning years. The model pursues the maximum synthesis benefits of economy, society and the environment. The results indicate that the proportion of reused water to the total water amount is gradually increasing, and the proportion of agricultural water consumption to the total water consumption is gradually decreasing. The allocation of multi-source water resources to multiple users is improved due to incorporation of uncertain factors into the model that provide useful decision support to water management authorities. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • Yan Han & Yue-Fei Huang & Guang-Qian Wang & Imran Maqsood, 2011. "A Multi-objective Linear Programming Model with Interval Parameters for Water Resources Allocation in Dalian City," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(2), pages 449-463, January.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:2:p:449-463
    DOI: 10.1007/s11269-010-9708-7
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    1. Huang, Guo H. & Baetz, Brian W. & Patry, Gilles G., 1995. "Grey integer programming: An application to waste management planning under uncertainty," European Journal of Operational Research, Elsevier, vol. 83(3), pages 594-620, June.
    2. H. Lu & G. Huang & G. Zeng & I. Maqsood & L. He, 2008. "An Inexact Two-stage Fuzzy-stochastic Programming Model for Water Resources 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 991-1016, August.
    3. Yan Han & Shi-guo Xu & Xiang-zhou Xu, 2008. "Modeling Multisource Multiuser Water Resources Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(7), pages 911-923, July.
    4. Andrew Higgins & Ainsley Archer & Stefan Hajkowicz, 2008. "A Stochastic Non-linear Programming Model for a Multi-period Water Resource Allocation with Multiple Objectives," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(10), pages 1445-1460, October.
    5. P. Jairaj & S. Vedula, 2000. "Multireservoir System Optimization using Fuzzy Mathematical Programming," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 14(6), pages 457-472, December.
    6. Huang, G. H. & Baetz, B. W. & Patry, G. G., 1995. "Grey fuzzy integer programming: An application to regional waste management planning under uncertainty," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 17-38, March.
    7. Lijing Wang & Wei Meng & Huaicheng Guo & Zhenxing Zhang & Yong Liu & Yingying Fan, 2006. "An Interval Fuzzy Multiobjective Watershed Management Model for the Lake Qionghai Watershed, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(5), pages 701-721, October.
    8. Sakawa, Masatoshi & Kato, Kosuke & Nishizaki, Ichiro, 2003. "An interactive fuzzy satisficing method for multiobjective stochastic linear programming problems through an expectation model," European Journal of Operational Research, Elsevier, vol. 145(3), pages 665-672, March.
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    5. B. Sarma & A. Sarma & V. Singh, 2013. "Optimal Ecological Management Practices (EMPs) for Minimizing the Impact of Climate Change and Watershed Degradation Due to Urbanization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 4069-4082, September.
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    9. Cai, Yanpeng & Yue, Wencong & Xu, Linyu & Yang, Zhifeng & Rong, Qiangqiang, 2016. "Sustainable urban water resources management considering life-cycle environmental impacts of water utilization under uncertainty," Resources, Conservation & Recycling, Elsevier, vol. 108(C), pages 21-40.
    10. R. Roozbahani & B. Abbasi & S. Schreider & A. Ardakani, 2014. "A Multi-objective Approach for Transboundary River Water Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(15), pages 5447-5463, December.
    11. Binglong Wang & Yanpeng Cai & Xin’An Yin & Qian Tan & Yan Hao, 2017. "An Integrated Approach of System Dynamics, Orthogonal Experimental Design and Inexact Optimization for Supporting Water Resources Management under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(5), pages 1665-1694, March.
    12. Ali Reza Nafarzadegan & Hassan Vagharfard & Mohammad Reza Nikoo & Ahmad Nohegar, 2018. "Socially-Optimal and Nash Pareto-Based Alternatives for Water Allocation under Uncertainty: an Approach and Application," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(9), pages 2985-3000, July.
    13. D. Morankar & K. Srinivasa Raju & D. Nagesh Kumar, 2013. "Integrated Sustainable Irrigation Planning with Multiobjective Fuzzy Optimization Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 3981-4004, September.
    14. Chunlong Li & Jianzhong Zhou & Shuo Ouyang & Chao Wang & Yi Liu, 2015. "Water Resources Optimal Allocation Based on Large-scale Reservoirs in the Upper Reaches of Yangtze River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2171-2187, May.
    15. Ammar Ahmed Musa, 2021. "Goal programming model for optimal water allocation of limited resources under increasing demands," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(4), pages 5956-5984, April.

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