Chebyshev Optimal Waste Discharges

Matthew J. Sobel
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Matthew J. Sobel: Yale University, New Haven, Connecticut

Operations Research, 1971, vol. 19, issue 2, 308-322

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).

Date: 1971
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:19:y:1971:i:2:p:308-322

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