Abstract
In this study, a two-stage chance-constrained fractional programming (TCFP) method is developed for dealing with water quality management problems associated with stochastic inputs. Two-stage chance-constrained fractional programming is a hybrid of stochastic linear fractional programming (SLFP) and two-stage stochastic programming (TSP) methods. It can not only balance objectives of two aspects through converting a bi-objective problem into a ratio one but can also analyze various policy scenarios when the promised production targets are violated. For demonstrating its advantages, the proposed TCFP method is applied to a case study of water quality management where managers have to consider conflicting objectives between economic development and environmental conservation, as well as stochastic features expressed as probability distributions. The obtained solutions under different significance levels can help managers to identify desired policies under various environmental, economic, and constraint-violation conditions.
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Acknowledgments
This research was supported by the National Natural Science Foundation of China (51309095), the Major Project Program of the Natural Sciences Foundation (51190095), the National Natural Science foundation for Distinguished Young Scholar (51225904), and the Natural Science and Engineering Research Council of Canada.
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Published In
Journal of Water Resources Planning and Management
Volume 141 • Issue 5 • May 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 21, 2013
Accepted: Jun 17, 2014
Published online: Aug 1, 2014
Discussion open until: Jan 1, 2015
Published in print: May 1, 2015
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