Water Resources Management

, Volume 33, Issue 10, pp 3355–3375 | Cite as

A Multi-Objective and Equilibrium Scheduling Model Based on Water Resources Macro Allocation Scheme

  • Ting WangEmail author
  • Yu Liu
  • Ying Wang
  • Xinmin Xie
  • Jinjun You


A multi-objective and equilibrium scheduling model is established based on water resources macro allocation (WRMAA) scheme to describe the scheduling process accurately in the specific scheduling period. The proposed coupling method sets the WRMAA schemes as the boundary data of the water resources micro scheduling (WRMIS) model and some indicators are used to couple WRMAA and WRMIS models in terms of objective functions, constraints and time series. The runoff deviation factor of ecological node (RDFEN) is brought into the coupling process in order to reflect the ecological scheduling effects. At last, the proposed model is successfully applied to the regional water resources scheduling in Jinan of Shandong Province, China, on a ten-day basis. The results reveal that the ecological base flow should be taken into account in normal and moderately dry years for the short-term planning period, and it should be recommended for the long-term planning period whatever the water condition is. The water deficit ratio of the long-term planning period is much lower than that of the short-term planning period, which verifies its superiority. Hence, the proposed model provides an effective approach to achieving the coordination of macro planning and micro scheduling management of future water resources, especially for the specific scheduling period.


Multi-objective and equilibrium scheduling Water resources macro allocation Water resources micro scheduling Coupling methods Ecological scheduling 



This research was funded by the 13th National Key Research and Development Program of China (Grant No. 2017YFC0404405, 2018YFC0407705), the National Natural Science Foundation of China (Grant No. 51509266) and the Scientific Research Special Fund Project of Public Welfare by Ministry of Water Resources, China (Grant No. 201401003).

Compliance with Ethical Standards

Conflict of Interest



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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Ting Wang
    • 1
    • 2
    Email author
  • Yu Liu
    • 3
  • Ying Wang
    • 4
  • Xinmin Xie
    • 1
    • 2
  • Jinjun You
    • 1
    • 2
  1. 1.State Key Laboratory of Simulation and Regulation of Water Cycle in River BasinChina Institute of Water Resources and Hydropower ResearchBeijingChina
  2. 2.Department of Water ResourcesChina Institute of Water Resources and Hydropower ResearchBeijingChina
  3. 3.Construction and Administration Bureau of South-to-North Water Diversion Middle Route ProjectBeijingChina
  4. 4.Nanjing University of Finance Economics Hongshan CollegeNanjingChina

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