What is it about?
In this study, extended two-stage stochastic programming with fuzzy variables is developed for water resources management under uncertainty. First, the problem is formulated and solved by an extended interval-parameter two-stage stochastic programming (ITSP) approach for retrieving water shortages. To this end, some alternatives are considered to retrieve the difference between the quantities of promised water-allocation targets and the actual allocated water. An extended ITSP is then developed for the problem under the fuzzy uncertainty by using fuzzy variables and solved using fuzzy chance-constrained programming based on the idea of possibility theory. Furthermore, an illustrative example is also given to clarify the methods discussed in this paper.
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Why is it important?
New extended methods are presented to solve the problems of water shortages: These methods include some alternatives such as other reservoirs to retrieve water shortages to reach the water allocation target. The main aim of this paper is to introduce new approaches for the problem, in a way that optimizes the system net benefit and gives optimal solutions that also choose proper alternatives for retrieving water shortages. The problem is how to effectively allocate the water supply to multiple users to maximize system net benefit and obtain optimal solutions for choosing the most proper alternative.
Perspectives
To emphasize the implementation of this study, an illustrative example of the water resources management in Tabriz city, an urban area in the north-western of Iran, has been considered. All data has been collected through a survey of experts or decision makers of water resources management. In this problem, the water resources manager is responsible for allocating water resources between three users: a municipality, an industrial unit, and an agricultural sector in an area of Tabriz city. The difference between the quantities of promised water-allocation targets and the actual allocated water was retrieved by our extended ITSP approach in comparison with existing ITSP methods. For future research, our extended approach can be developed to other uncertain variables such as random fuzzy and random rough variables and new solving methods will be obtained to the water resource management under these uncertainties. Furthermore, the other complexities that exist in water resource systems, such as nonlinear and multi-objective issues can be investigated by authors as future research.
Dr. javad nematian
University of Tabriz
Read the Original
This page is a summary of: An Extended Two-stage Stochastic Programming Approach for Water Resources Management under Uncertainty, Journal of Environmental Informatics, January 2015, International Society for Environmental Information Science (ISEIS),
DOI: 10.3808/jei.201600334.
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