Theory and methodology
Grey integer programming: An application to waste management planning under uncertainty

https://doi.org/10.1016/0377-2217(94)00093-RGet rights and content

Abstract

This paper introduces a grey integer programming (GIP) method for facility expansion planning under uncertainty, by incorporating the concepts of grey number and grey mathematical programming into a mixed integer linear programming optimization framework. The approach is an improvement upon previous integer programming methods in terms of its technical characteristics and applicability. It allows uncertain information to be effectively communicated into the optimization process and the resulting solutions. It also has low computational requirements and is thus applicable to practical problems. The modelling approach is applied to a hypothetical planning problem of waste flow allocation and treatment/disposal facility expansion within a regional solid waste management system. The binary variable solutions provide the ranges of different development alternatives within a multi-period, multi-facility and multi-scale context, and the continuous variable solutions provide optimal schemes for waste flow allocation corresponding to the upper and lower bounds of the objective function value. The results indicate that reasonable and useful solutions can be achieved through the developed approach.

References (32)

  • F. Glover

    Chance-constrained techniques for integer programming

  • Y. Hasit et al.

    Regional solid waste planning with WRAP

    Journal of the Environmental Engineering Division (ASCE)

    (1981)
  • G. Huang et al.

    Grey linear programming, its solving approach, and its application

    International Journal of Systems Science

    (1993)
  • G. Huang et al.

    A grey linear programming approach for municipal solid waste management planning under uncertainty

    Civil Engineering Systems

    (1992)
  • G. Huang et al.

    A grey fuzzy linear programming approach for municipal solid waste management planning under uncertainty

    Civil Engineering Systems

    (1993)
  • G. Huang et al.

    Waste flow allocation under independent stipulation uncertainties: A grey fuzzy quadratic programming (GFQP) approach

    Civil Engineering Systems

    (1994)
  • Cited by (382)

    View all citing articles on Scopus
    View full text