Bounded Implicit Enumeration for Wastewater-Treatment Systems

A wastewater-treatment system can be represented by a multistage configuration consisting of a variety of unit processes from various stages. The number of treatment combinations may be very large when the number of unit processes in a stage and the number of stages in a system increase. Enumeration...

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Bibliographic Details
Published in:Journal of environmental engineering (New York, N.Y.) N.Y.), 1990, Vol.116 (5), p.910-926
Main Authors: Chang, Shoou-Yuh, Liaw, Shu-Liang
Format: Article
Language:English
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TECHNICAL PAPERS
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Summary:A wastewater-treatment system can be represented by a multistage configuration consisting of a variety of unit processes from various stages. The number of treatment combinations may be very large when the number of unit processes in a stage and the number of stages in a system increase. Enumeration techniques, e.g., total enumeration and implicit enumeration, have been used to eliminate infeasible treatment combinations and to identify the least-cost treatment system. A bounded implicit enumeration approach is proposed to make the implicit enumeration more efficient. A lower bound is calculated at each stage and added to the up-to-date objective function value to eliminate more combinations before reaching the final stage. The results for two wastewater-treatment-system-synthesis models indicate that the bounded implicit enumeration is consistently more efficient than the total and implicit enumeration approaches in identifying least-cost and feasible treatment alternatives.
ISSN:0733-9372
1943-7870
DOI:10.1061/(ASCE)0733-9372(1990)116:5(910)