TECHNICAL PAPERS
May 1, 1992

Use of Mathematical Programming Methods for Complex Systems

Publication: Journal of Water Resources Planning and Management
Volume 118, Issue 3

Abstract

Although mathematical programming techniques can be applied to solve certain (type A) problems, they cannot be used to solve complex (type B) problems directly. Instead they can be used to generate alternative solutions that can then be evaluated by the designer and modified according to judgment and intuition. A wastewater‐treatment plant design context is used to illustrate that, although a minimum‐cost model may produce an unsatisfactory design, other model formulations can be used to generate good alternatives. In particular, two model formulations are presented based on recent results in robust optimal design and in modeling‐to‐generate‐alternatives (MGA) techniques. It is argued that the alternative designs generated by these techniques may serve as starting points in an interactive design process, where the engineer uses trial and error to modify solutions, and create new ones, based on modeled and unmodeled issues.

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Information & Authors

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Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 118Issue 3May 1992
Pages: 281 - 294

History

Published online: May 1, 1992
Published in print: May 1992

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Authors

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James G. Uber, Associate Member, ASCE
Asst. Prof., Dept. of Civ. and Envir. Engrg., 741 Baldwin (ML #71), Univ. of Cincinnati, Cincinnati, OH 45221‐0071
E. Downey Brill, Jr., Member, ASCE
Prof. and Head, Dept. of Civ. Engrg., North Carolina State Univ., Raleigh, NC 27695‐7908
John T. Pfeffer, Member, ASCE
Prof. of Sanitary Engrg., Univ. of Illinois, 205 N. Mathews Ave., Urbana, IL 61801‐2397

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