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A two-stage fuzzy robust integer programming approach for capacity planning of environmental management systems

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  • Li, Y.P.
  • Huang, G.H.
  • Nie, X.H.
  • Nie, S.L.

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.

Suggested Citation

  • Li, Y.P. & Huang, G.H. & Nie, X.H. & Nie, S.L., 2008. "A two-stage fuzzy robust integer programming approach for capacity planning of environmental management systems," European Journal of Operational Research, Elsevier, vol. 189(2), pages 399-420, September.
    • Handle: RePEc:eee:ejores:v:189:y:2008:i:2:p:399-420
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    9. Xiong, Jie & Ng, Tsan Sheng Adam & Wang, Shuming, 2016. "An optimization model for economic feasibility analysis and design of decentralized waste-to-energy systems," Energy, Elsevier, vol. 101(C), pages 239-251.
    10. Li, Y.P. & Huang, G.H. & Guo, P. & Yang, Z.F. & Nie, S.L., 2010. "A dual-interval vertex analysis method and its application to environmental decision making under uncertainty," European Journal of Operational Research, Elsevier, vol. 200(2), pages 536-550, January.
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    12. Kamalahmadi, Masoud & Parast, Mahour Mellat, 2017. "An assessment of supply chain disruption mitigation strategies," International Journal of Production Economics, Elsevier, vol. 184(C), pages 210-230.
    13. A Paucar-Caceres & A Espinosa, 2011. "Management science methodologies in environmental management and sustainability: discourses and applications," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(9), pages 1601-1620, September.
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