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Bilevel Multiobjective Programming Applied to Water Resources Allocation

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  • Shiqi Fang
  • Ping Guo
  • Mo Li
  • Liudong Zhang

Abstract

Water allocation is an essential programming to support the sustainable development of Wuwei Basin, Gansu Province, China. To satisfy the demands of the decision makers (DMs) of each subarea and the total area, a bilevel multiobjective linear programming (BLMOLP) model is proposed. In the BLMOLP, DMs have a hierarchy of two levels—the upper level and the lower level DMs. In this paper, a fuzzy goal programming (FGP) approach is applied to solve the BLMOLP. Firstly, the upper level is solved and used as the tolerance for the lower level. Then the weights of each objective function in the lower level are evaluated. Finally, a satisfied optimization solution of the problem was calculated. The result suggests that the FGP is a simple and feasible approach to BLMOLP problems. The proposed method was applied to a case study for water resources allocation in Wuwei Basin. For four scenarios under consideration, the model can effectively balance the benefits among all regions and sections according to the priority of the upper level decision makers. The results indicate that comprehensive solutions have been obtained.

Suggested Citation

  • Shiqi Fang & Ping Guo & Mo Li & Liudong Zhang, 2013. "Bilevel Multiobjective Programming Applied to Water Resources Allocation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:837919
    DOI: 10.1155/2013/837919
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    Cited by:

    1. Yunquan Zhang & Peiling Yang, 2022. "Agricultural Water Optimal Allocation Using Minimum Cross-Entropy and Entropy-Weight-Based TOPSIS Method in Hetao Irrigation District, Northwest China," Agriculture, MDPI, vol. 12(6), pages 1-18, June.
    2. Z. Ghaffari Moghadam & E. Moradi & M. Hashemi Tabar & A. Sardar Shahraki, 2023. "Developing a Bi-level programming model for water allocation based on Nerlove’s supply response theory and water market," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(6), pages 5663-5689, June.
    3. Shannak, Sa'd, 2022. "Optimizing dynamics of water-energy-food nexus in a desert climate," Energy Policy, Elsevier, vol. 164(C).

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