A two-stage fuzzy robust integer programming approach for capacity planning of environmental management systems |
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Authors: | Y.P. Li G.H. Huang X.H. Nie S.L. Nie |
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Affiliation: | 1. Department of Civil and Resource Engineering, Dalhousie University, Halifax, Nova Scotia, B3J 1Z1, Canada;2. Environmental Systems Engineering Program, Faculty of Engineering, University of Regina, Regina, Sask S4S OA2, Canada;3. Chinese Research Academy of Environmental Science, No. 8 Dayangfang, Anwai, Beijing 100012, China;4. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China |
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Abstract: | In this study, a two-stage fuzzy robust integer programming (TFRIP) method has been developed for planning environmental management systems under uncertainty. This approach integrates techniques of robust programming and two-stage stochastic programming within a mixed integer linear programming framework. It can facilitate dynamic analysis of capacity-expansion planning for waste management facilities within a multi-stage context. In the modeling formulation, uncertainties can be presented in terms of both possibilistic and probabilistic distributions, such that robustness of the optimization process could be enhanced. In its solution process, the fuzzy decision space is delimited into a more robust one by specifying the uncertainties through dimensional enlargement of the original fuzzy constraints. The TFRIP method is applied to a case study of long-term waste-management planning under uncertainty. The generated solutions for continuous and binary variables can provide desired waste-flow-allocation and capacity-expansion plans with a minimized system cost and a maximized system feasibility. |
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Keywords: | Decision-making Environment Integer programming Robust programming Two-stage stochastic Uncertainty |
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