A geometric programming model for the optimal design of wastewater treatment plants

Smeers, Yves;Tyteca, Daniel
(1984) Operations research — Vol. 32, n° 2, p. 314-342 (1984)

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Authors
  • Smeers, YvesUCLouvain
    Author
  • Tyteca, DanielUCLouvain
    Author
Abstract
Presents a complete mathematical model describing the various interactions in a wastewater treatment plant. The optimal design of the plant is studied by first reformulating the model as a signomial program; this reformulation eases function and gradient evaluations as well as data manipulation, and allows the user to test and exploit the model in an interactive and repeated way. The model departs significantly from previously work in the area by introducing no ad hoc simplification in the constituting process models, nor in the optimization procedure. Since the model includes various nonconvexities due to signomial expressions, the authors tested convexifying procedures, which did not produce better solutions than those obtained from the model under its original signomial form. Application of the model is illustrated not only for design purposes, but also as a useful tool for generating various types of cost information required in regional water quality management models.
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Citations

Smeers, Y., & Tyteca, D. (1984). A geometric programming model for the optimal design of wastewater treatment plants. Operations research, 32(2), 314-342. https://doi.org/10.1287/opre.32.2.314 (Original work published 1984)