Waste management with recourse: An inexact dynamic programming model containing fuzzy boundary intervals in objectives and constraints

The existing inexact optimization methods based on interval-parameter linear programming can hardly address problems where coefficients in objective functions are subject to dual uncertainties. In this study, a superiority–inferiority-based inexact fuzzy two-stage mixed-integer linear programming (S...

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Publicado en:Journal of Environmental Management Vol. 91; no. 9; pp. 1898 - 1914
Autores principales: Tan, Q., Huang, G.H., Cai, Y.P.
Formato: Artículo
Publicado: Academic Press Inc. Sep2010
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Sep2010
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      pub: Academic Press Inc.
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        51304234
        10.1016/j.jenvman.2010.04.005
      ppf: 1898
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        atl: Waste management with recourse: An inexact dynamic programming model containing fuzzy boundary intervals in objectives and constraints
      aug:
        au:
          Tan, Q.
          Huang, G.H.
          Cai, Y.P.
        affil:
          Faculty of Engineering and Applied Science, University of Regina, Regina, Saskatchewan S4S 0A2, Canada
          Faculty of Engineering, Dalhousie University, Halifax, Nova Scotia B3J 1Z1, Canada
      su:
        Waste management
        Solid waste
        Industrial efficiency
        Dynamic programming
        Research methodology
        Mathematical models of uncertainty
        Linear programming
        Theory of constraints
      sug:
        subj:
          Waste management
          Waste collection
          Waste treatment and disposal
          Solid Waste Landfill
          Other Waste Collection
          Solid waste
          Industrial efficiency
          Dynamic programming
          Research methodology
          Mathematical models of uncertainty
          Linear programming
          Theory of constraints
      keyword:
        Fuzzy
        Interval
        Optimization
        Random
        Solid waste management
        Uncertainty
        Fuzzy
        Interval
        Optimization
        Random
        Solid waste management
        Uncertainty
      ab: The existing inexact optimization methods based on interval-parameter linear programming can hardly address problems where coefficients in objective functions are subject to dual uncertainties. In this study, a superiority–inferiority-based inexact fuzzy two-stage mixed-integer linear programming (SI-IFTMILP) model was developed for supporting municipal solid waste management under uncertainty. The developed SI-IFTMILP approach is capable of tackling dual uncertainties presented as fuzzy boundary intervals (FuBIs) in not only constraints, but also objective functions. Uncertainties expressed as a combination of intervals and random variables could also be explicitly reflected. An algorithm with high computational efficiency was provided to solve SI-IFTMILP. SI-IFTMILP was then applied to a long-term waste management case to demonstrate its applicability. Useful interval solutions were obtained. SI-IFTMILP could help generate dynamic facility-expansion and waste-allocation plans, as well as provide corrective actions when anticipated waste management plans are violated. It could also greatly reduce system-violation risk and enhance system robustness through examining two sets of penalties resulting from variations in fuzziness and randomness. Moreover, four possible alternative models were formulated to solve the same problem; solutions from them were then compared with those from SI-IFTMILP. The results indicate that SI-IFTMILP could provide more reliable solutions than the alternatives.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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