Water Allocation Plan Based on Linear Programming

DOI

10.2991/978-94-6463-042-8_90How to use a DOI?

Keywords

Water Allocation; Hydroelectric Power; Reservoir Capacity Curve; Multi-objective Linear Programming; Gaussian Curve

Abstract

Water allocation in the Colorado River directly affects greatly the water availability in the U.S. states of Arizona, California, Wyoming, New Mexico, and Colorado. In order to mitigate the influence of water shortage in these regions, this study develops a series of multi-objective linear programming models to propose a water allocation plan. The whole study is based on data from 2010 to 2030. First, we utilize the contour volume method to calculate reservoir capacity and introduce the satisfaction function to measure the rationality of water allocation in the Glen Canyon and Hoover dams. Then we introduce the multi-objective linear programming model and conclude that 40.165 km3 and 50.978 km 3 volumes of water should be drawn from Lake Powell and Lake Mead, respectively. Then, to tackle the problem of competing interests in water availability, we propose multi-objective Ant Colony Optimization to measure the amounts of water needed for general usage and hydroelectricity generation. We find that at least (10.660k1+21.010k2) km3 volume of water is needed (k1 and k2 refer to the efficiency of water for these two usages, respectively). Finally, to further optimize the model, we re-run the frequency of the model. The results of this study conclude that to get a satisfactory water allocation plan, we must take several influence factors into consideration, such as the ecological environment, technologies, and reuse of water and electricity.

Copyright

© 2023 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Xinyu Li
AU  - Huanjie Jiang
AU  - Jiayi Chen
AU  - Mingyu Yang
PY  - 2022
DA  - 2022/12/29
TI  - Water Allocation Plan Based on Linear Programming
BT  - Proceedings of the 2022 International Conference on mathematical statistics and economic analysis (MSEA 2022)
PB  - Atlantis Press
SP  - 625
EP  - 634
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6463-042-8_90
DO  - 10.2991/978-94-6463-042-8_90
ID  - Li2022
ER  -