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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

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  • 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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    References listed on IDEAS

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    4. Hadis Mohajerani & Majid Kholghi & Abolfazl Mosaedi & Raziyeh Farmani & Amir Sadoddin & Markus Casper, 2017. "Application of Bayesian Decision Networks for Groundwater Resources Management Under the Conditions of High Uncertainty and Data Scarcity," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(6), pages 1859-1879, April.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Hanif Malekpoor & Konstantinos Chalvatzis & Nishikant Mishra & Mukesh Kumar Mehlawat & Dimitrios Zafirakis & Malin Song, 2018. "Integrated grey relational analysis and multi objective grey linear programming for sustainable electricity generation planning," Annals of Operations Research, Springer, vol. 269(1), pages 475-503, October.
    11. Pradeep Dogra & V. Sharda & P. Ojasvi & Shiv Prasher & R. Patel, 2014. "Compromise Programming Based Model for Augmenting Food Production with Minimum Water Allocation in a Watershed: a Case Study in the Indian Himalayas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(15), pages 5247-5265, December.
    12. Kaiyong Wang & Pengyan Zhang & Bo Pang, 2018. "Process and Mechanism of Agricultural Irrigation Benefit Allocation Coefficient Based on Emergy Analysis—A Case Study of Henan, China," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
    13. Fuxing Wang & Oliver Saavedra Valeriano & Xinguo Sun, 2013. "Near Real-Time Optimization of Multi-Reservoir during Flood Season in the Fengman Basin of China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(12), pages 4315-4335, September.
    14. Sagarika Patowary & Banasri Sarma & Arup Kumar Sarma, 2019. "A Revision of OPTEMP-LS Model for Selecting Optimal EMP Combination for Minimizing Sediment and Water Yield from Hilly Urban Watersheds," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(4), pages 1249-1264, March.
    15. 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.

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