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An Improved Solving Approach for Interval-Parameter Programming and Application to an Optimal Allocation of Irrigation Water Problem

Author

Listed:
  • Gaiqiang Yang

    (China Agricultural University
    Taiyuan University of Science and Technology)

  • Ping Guo

    (China Agricultural University
    China Agricultural University)

  • Mo Li

    (China Agricultural University)

  • Shiqi Fang

    (China Agricultural University)

  • Liudong Zhang

    (China Agricultural University
    Yunnan Agricultural University)

Abstract

In this study, an improved single-step method (SSM) is developed based on two-step method (TSM) to solve the interval-parameter linear programming (ILP) model of which the right-hand sides are highly uncertain. Two numerical examples are presented to ascertain appropriate value of λ in SSM. The risk preference degree of λ could be 0.8 for maximum objective function type. To demonstrate the applicability of the developed method, an agricultural water management problem has been provided in the case study section. The results show that SSM is more effective than TSM for complete solutions. There is only partial solution obtained from the first submodel of TSM, because the right-hand side of the wheat output constraint is highly uncertain. Finally, local farmers’ net benefit reaches to [8.949, 12.442] × 108 RMB (the unit of Chinese currency). The priority order of crops that are needed to be irrigated by surface water is maize > wheat > cotton.

Suggested Citation

  • Gaiqiang Yang & Ping Guo & Mo Li & Shiqi Fang & Liudong Zhang, 2016. "An Improved Solving Approach for Interval-Parameter Programming and Application to an Optimal Allocation of Irrigation Water Problem," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 701-729, January.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:2:d:10.1007_s11269-015-1186-5
    DOI: 10.1007/s11269-015-1186-5
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    References listed on IDEAS

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    2. Zhang, Chenglong & Li, Xuemin & Guo, Ping & Huo, Zailin, 2021. "Balancing irrigation planning and risk preference for sustainable irrigated agriculture: A fuzzy credibility-based optimization model with the Hurwicz criterion under uncertainty," Agricultural Water Management, Elsevier, vol. 254(C).

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