TECHNICAL PAPERS
Feb 1, 1990

Optimal Reliability‐Based Design of Pumping and Distribution Systems

Publication: Journal of Hydraulic Engineering
Volume 116, Issue 2

Abstract

A reliability‐based optimization model for water‐distribution systems has been developed. The model is aimed at the following goals: (1) Design of the pipe network including the number, location, and size of pumps and tanks; (2) design of the pumping system using a reliability‐based procedure considering both hydraulic failures of the entire network and mechanical failure of the pumping system; and (3) determination of the optimal operation of the pumps. The optimization problem is a large mixed‐integer, nonlinear programming problem that is solved using a heuristic algorithm consisting of a master problem and a sub‐problem. The master problem is a pure 0‐1 integer programming model, and the subproblem is a large nonlinear programming model solved in an optimal control framework. The conservation of flow and energy constraints are solved implicitly for each iteration of the nonlinear optimization procedure using a hydraulic simulation model, and the reliability constraints are also solved implicitly using a reliability model. The nonlinear programming problem is solved using a generalized reduced gradient code.

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References

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Duan, N. (1988). “Optimal reliability‐based design and analysis of pumping systems for water distribution systems,” thesis presented to the University of Texas, at Austin, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
2.
Duan, N., and Mays, L. W. (1990). “Reliability analysis of pumping systems.” J. Hydr. Engrg., ASCE, 116(2), 230–248.
3.
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Lansey, K. E. (1987). “Optimal design of large scale water distribution systems under multiple loading conditions,” thesis presented to the University of Texas, at Austin, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 116Issue 2February 1990
Pages: 249 - 268

History

Published online: Feb 1, 1990
Published in print: Feb 1990

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Authors

Affiliations

Ning Duan
Res. Engr., Chinese Res. Acad. of Envir. Sci., Beijing, Peoples Republic of China
Larry W. Mays, Member, ASCE
Chmn. and Prof., Dept. of Civ. Engrg., Arizona State Univ., Tempe, AZ 85287
Kevin E. Lansey, Associate Member, ASCE
Asst. Prof., Dept. of Civ. Engrg., Oklahoma State Univ., Stillwater, OK 74078

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