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Chebyshev Optimal Waste Discharges

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  • Matthew J. Sobel

    (Yale University, New Haven, Connecticut)

Abstract

Liquid wastes are often stored for some time before being discharged into a water resource. Storage capacity determines the set of feasible discharge schedules and, therefore, limits the levels of water quality that are attainable. Thus motivated, the paper considers the following discrete-time deterministic problems: (a) For a given storage capacity, what discharge schedule maximizes the minimum water quality during a finite horizon? (b) For a given minimum water quality during a finite horizon, what is the smallest storage capacity for which there exists a feasible discharge schedule? A characterization is provided for optimal solutions to (a) and (b). The characterization is exploited computationally to obtain exact solutions to (b) and approximate solutions to (a).

Suggested Citation

  • Matthew J. Sobel, 1971. "Chebyshev Optimal Waste Discharges," Operations Research, INFORMS, vol. 19(2), pages 308-322, April.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:2:p:308-322
    DOI: 10.1287/opre.19.2.308
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