Determination of cost coefficients of a priority-based water allocation linear programming model – a network flow approach
This paper presents a method to establish the objective function of a network flow programming model for simulating river–reservoir system operations and associated water allocation, with an emphasis on situations when the links other than demand or storage have to be assigned with nonzero cost coef...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2014-05-01
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| Series: | Hydrology and Earth System Sciences |
| Online Access: | http://www.hydrol-earth-syst-sci.net/18/1857/2014/hess-18-1857-2014.pdf |
| Summary: | This paper presents a method to establish the objective function of a
network flow programming model for simulating river–reservoir system
operations and associated water allocation, with an emphasis on situations
when the links other than demand or storage have to be assigned with nonzero
cost coefficients. The method preserves the priorities defined by rule
curves of reservoir, operational preferences for conveying water, allocation
of storage among multiple reservoirs, and transbasin water diversions. Path
enumeration analysis transforms these water allocation rules into linear
constraints that can be solved to determine link cost coefficients. An
approach to prune the original system into a reduced network is proposed to
establish the precise constraints of nonzero cost coefficients, which can
then be efficiently solved. The cost coefficients for the water allocation
in the Feitsui and Shihmen reservoirs' joint operating system of northern
Taiwan was adequately assigned by the proposed method. This case study
demonstrates how practitioners can correctly utilize network-flow-based
models to allocate water supply throughout complex systems that are subject
to strict operating rules. |
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| ISSN: | 1027-5606 1607-7938 |