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A multiobjective optimization model for processing and distributing biosolids to reuse fields

Author

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  • S A Gabriel

    (University of Maryland, College Park)

  • P Sahakij

    (University of Maryland, College Park)

  • M Ramirez

    (District of Columbia Water and Sewer Authority)

  • C Peot

    (District of Columbia Water and Sewer Authority)

Abstract

Advanced wastewater treatment plants remove deleterious nutrients, chemicals, and microorganisms from wastewater and produce biosolids products to be reused at farms and other sites. These biosolids are carefully regulated by environmental restrictions but still may be malodorous to the local populations. In this paper, we develop a multiobjective optimization model to simultaneously minimize the biosolids odours as well as processing and distribution costs. The model employs a linear odour function and bilinear costs; the latter being approximated via Schur's decomposition and special ordered set (SOS) type 2 variables resulting in a mixed integer linear multiobjective optimization problem. Such a model can be used proactively by these plants to produce the least malodorous product at minimal costs. We demonstrate use of the model with a case study for the Blue Plains advanced wastewater treatment plant run by the DC Water and Sewer Authority in Washington, DC.

Suggested Citation

  • S A Gabriel & P Sahakij & M Ramirez & C Peot, 2007. "A multiobjective optimization model for processing and distributing biosolids to reuse fields," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 850-864, July.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:7:d:10.1057_palgrave.jors.2602201
    DOI: 10.1057/palgrave.jors.2602201
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    References listed on IDEAS

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    1. Chang, Ni-Bin & Wang, S.F., 1997. "A fuzzy goal programming approach for the optimal planning of metropolitan solid waste management systems," European Journal of Operational Research, Elsevier, vol. 99(2), pages 303-321, June.
    2. S A Gabriel & R García-Bertrand & P Sahakij & A J Conejo, 2006. "A practical approach to approximate bilinear functions in mathematical programming problems by using Schur's decomposition and SOS type 2 variables," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(8), pages 995-1004, August.
    3. Escudero, Laureano F., 1978. "A comparative analysis of linear fitting for non-linear functions on optimization : A case study: Air pollution problems," European Journal of Operational Research, Elsevier, vol. 2(6), pages 398-408, November.
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    Cited by:

    1. Prawat Sahakij & Steven Gabriel & Mark Ramirez & Chris Peot, 2011. "Multi-objective Optimization Models for Distributing Biosolids to Reuse Fields: A Case Study for the Blue Plains Wastewater Treatment Plant," Networks and Spatial Economics, Springer, vol. 11(1), pages 1-22, March.
    2. G Mitchell & J E Beasley, 2011. "Optimisation of sludge treatment and transport," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(6), pages 939-948, June.

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