An interval-parameter multi-stage stochastic programming model for water resources management under uncertainty
In this study, an interval-parameter multi-stage stochastic linear programming (IMSLP) method has been developed for water resources decision making under uncertainty. The IMSLP is a hybrid methodology of inexact optimization and multi-stage stochastic programming. It has three major advantages in c...
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| Vydané v: | Advances in water resources Ročník 29; číslo 5; s. 776 - 789 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Oxford
Elsevier Ltd
01.05.2006
Elsevier Science |
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| ISSN: | 0309-1708, 1872-9657 |
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| Abstract | In this study, an interval-parameter multi-stage stochastic linear programming (IMSLP) method has been developed for water resources decision making under uncertainty. The IMSLP is a hybrid methodology of inexact optimization and multi-stage stochastic programming. It has three major advantages in comparison to the other optimization techniques. Firstly, it extends upon the existing multi-stage stochastic programming method by allowing uncertainties expressed as probability density functions and discrete intervals to be effectively incorporated within the optimization framework. Secondly, penalties are exercised with recourse against any infeasibility, which permits in-depth analyses of various policy scenarios that are associated with different levels of economic consequences when the promised water-allocation targets are violated. Thirdly, it cannot only handle uncertainties through constructing a set of scenarios that is representative for the universe of possible outcomes, but also reflect dynamic features of the system conditions through transactions at discrete points in time over the planning horizon. The developed IMSLP method is applied to a hypothetical case study of water resources management. The results are helpful for water resources managers in not only making decisions of water allocation but also gaining insight into the tradeoffs between environmental and economic objectives. |
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| AbstractList | An interval-parameter multi-stage stochastic programming model for water resources management under uncertainty is presented. It has major advantages in comparison to the other optimization techniques. It extends upon the existing multi-stage stochastic programming method by allowing uncertainties expressed as probability density functions and discrete intervals to be effectively incorporated within the optimization framework. Penalties are exercised with resource against any infeasibility, which permits in-depth analyses of various policy scenarios that are associated with different levels of economic consequences when the promised water-allocation targets are violated. The results are helpful for water resources managers in making decisions of water allocation and gaining insight into the tradeoffs between environmental and economic objectives. In this study, an interval-parameter multi-stage stochastic linear programming (IMSLP) method has been developed for water resources decision making under uncertainty. The IMSLP is a hybrid methodology of inexact optimization and multi-stage stochastic programming. It has three major advantages in comparison to the other optimization techniques. Firstly, it extends upon the existing multi-stage stochastic programming method by allowing uncertainties expressed as probability density functions and discrete intervals to be effectively incorporated within the optimization framework. Secondly, penalties are exercised with recourse against any infeasibility, which permits in-depth analyses of various policy scenarios that are associated with different levels of economic consequences when the promised water-allocation targets are violated. Thirdly, it cannot only handle uncertainties through constructing a set of scenarios that is representative for the universe of possible outcomes, but also reflect dynamic features of the system conditions through transactions at discrete points in time over the planning horizon. The developed IMSLP method is applied to a hypothetical case study of water resources management. The results are helpful for water resources managers in not only making decisions of water allocation but also gaining insight into the tradeoffs between environmental and economic objectives. |
| Author | Li, Y.P. Nie, S.L. Huang, G.H. |
| Author_xml | – sequence: 1 givenname: Y.P. surname: Li fullname: Li, Y.P. email: nlyp@env.uregina.ca organization: Environmental Systems Engineering Program, Faculty of Engineering, University of Regina, Regina, Sask., Canada S4S 0A2 – sequence: 2 givenname: G.H. surname: Huang fullname: Huang, G.H. email: gordon.huang@uregina.ca organization: Environmental Systems Engineering Program, Faculty of Engineering, University of Regina, Regina, Sask., Canada S4S 0A2 – sequence: 3 givenname: S.L. surname: Nie fullname: Nie, S.L. email: niesonglin@env.uregina.ca organization: School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China |
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| SubjectTerms | Decision making Earth sciences Earth, ocean, space Exact sciences and technology hydrologic models Hydrology Hydrology. Hydrogeology Interval optimization interval-parameter multi-stage stochastic linear programming mathematical models Multi-stage optimization Policy Scenario Stochastic stochastic processes Uncertainty water allocation water management water policy Water resources |
| Title | An interval-parameter multi-stage stochastic programming model for water resources management under uncertainty |
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