Optimization‐Availability‐Based Design of Water‐Distribution Networks
Publication: Journal of Hydraulic Engineering
Volume 118, Issue 3
Abstract
A practical measure for water‐distribution system reliability, based on hydraulic availability is presented and incorporated in an optimal design procedure for component sizing. The measure combines hydraulic and mechanical availability in a form that defines the proportion of the time that the system will satisfactorily fulfill its function. However, rather than a simple discrete failure relationship with absolute failure if pressure heads fall below a prescribed minimum the hydraulic availability is modeled with continuous increasing acceptability as higher pressures occur. Availability is considered in a nonlinear optimization model that is. reduced in complexity by linking the optimizer with a network solver to implicitly solve the hydraulic constraints. The results of the model application show an increasing marginal cost for higher levels of availability, and the optimal designs tend to follow the engineering rules of thumb for system design.
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References
1.
Ang, A. H.‐S., and Tang, W. H. (1984). Probability concepts in engineering planning and design, Vol. II, John Wiley and Sons, New York, N.Y.
2.
Awumah, K., Goulter, I., and Bhatt, S. (1991). “Entropy‐based redundancy measures in water distribution network design.” J. Hydr. Engrg., ASCE, 117(5), 595–614.
3.
Bao, Y., and Mays, L. (1990). “Hydraulic reliability analysis of water distribution systems.” J. Hydr. Engrg., ASCE, 116(9), 1119–1138.
4.
Bazovski, I. (1961). Reliability theory and practice. Prentice Hall, Inc. Englewood Cliffs, N.J.
5.
Cullinane, M. J. (1985). “Reliability evaluation of water distribution system components.” Proc. Specialty Conf. on Hydraulics and Hydrology in the Small Computer Age, ASCE, New York, N.Y., 353–358.
6.
Cullinane, M. J., Jr. (1986). “Hydraulic reliability of urban water distribution systems.” Water Forum 1986: World Water Issues in Evolution, ASCE, New York, N.Y., 1264–1271.
7.
Cullinane, M. J. (1989). “Methodologies for the evaluation of water distribution system reliability/availability,” thesis presented to the Univ. of Texas, at Austin, Texas, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Cullinane, M. J., Lansey, K., and Basnet, C. (1989). “Water Distribution System Design Considering Component Failure During Static Conditions,” Proc. 1989 National Conference on Hydraulic Engineering, ASCE, New York, 762–767.
9.
Duan, N., and Mays, L. (1990). “Reliability analysis of pumping systems.” J. Hydr. Engrg., 116(2), 230–248.
10.
Duan, N., Mays, L., and Lansey, K. (1990). “Optimal reliability‐based design and analysis of pumping systems for water distribution systems.” J. Hydr. Engrg., 116(2), 249–268.
11.
“Engineering and design: Water supply, fire protection, mobilization construction.” EM 1110‐3‐166, U.S. Army Corps of Engrs., Office of the Chief of Engrs., Washington, D.C.
12.
Fire suppression rating schedule. Ed. 6‐80, Insurance Service Office, New York, N.Y.
13.
Fletcher, R. (1975). “An ideal penalty function for constrained optimization.” J. Inst. Math. Application, 15, 319–342.
14.
Goulter, I., and Bouchart, F. (1990). “Reliability constrainted pipe network model.” J. Hydr. Engrg., ASCE, 116(2), 211–229.
15.
Goulter, I. C., and Coals, A. (1986). “Quantitative approaches to reliability assessment in pipe networks.” J. Transp. Engrg., ASCE, 112(3), 104–113.
16.
Hobbs, B., and Beim, S. (1988). “Analytical simulation of water system capacity reliability 1.” Water Resour. Res., 24(9), 1431–1444.
17.
Hsin, J. K. (1980). “The optimal control of deterministic econometric planning models,” thesis presented to the Univ. of Texas, at Austin, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
18.
Lansey, K., Duan, N., Mays, L., and Tung, Y. (1989). “Water distribution system design under uncertainties.” J. Water Resour. Plng. and Mgmt., ASCE, 115(5), 630–657.
19.
Lansey, K. E., and Mays, L. W. (1989), “Optimization model for water distribution system design.” J. Hydr. Div., ASCE, 115(10), 1401–1418.
20.
Lasdon, L. S., and Mantell, J. (1978). “A GRG algorithm for econometric control problems.” Ann. Economic and Social Mgmt., 6(5), 581–597.
21.
Lasdon, L. S., and Waren, A. (1987). GRG2 user's guide, The Univ. of Texas, Austin, Tex.
22.
Mays, L., ed. (1989). Reliability analysis of water distribution systems, ASCE, New York, N.Y.
23.
Powell, M. J. (1978). “Algorithms for nonlinear constraints that use Lagrangian functions.” Math. Program., 14(2), 224–248.
24.
Rowell, W., and Barnes, J. (1982). “Obtaining layout of water distribution systems.” J. Hydr. Div., ASCE, 1081(1), 137–148.
25.
Shamir, U., and Howard, C. D. (1981). “Water supply reliability theory.” J. Am. Water Works Assoc., 73(7), 379–384.
26.
Su, Y. C., Mays, L. W., Duan, N., and Lansey, K. E. (1987). “Reliability‐based optimization model for water distribution systems.” J. Hydr. Engrg., ASCE, 114(12), 1539–1555.
27.
Tung, Y. (1985). “Evaluation of water distribution network reliability.” Proc. ASCE Hydraulics Specialty Conf., New York, N.Y., 359–364.
28.
Wagner, J. M., Shamir, U., and Marks, D. (1988). “Water distribution reliability: Simulation methods.” J. Water Resour. Plng. and Mgmt., 114(3), 276–294.
29.
Walski, T. M., and Pelliccia, A. (1982). “Economic analysis of water main breaks.” J. Am. Water Works Assoc., 74(3), 140–147.
30.
Wood, D. J. (1980). Computer analysis of flow in pipe networks including exended period simulation, User's manual. Office of Engrg. Continuing Ed. and Extension, The Univ. of Kentucky, Lexington, KY.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 118 • Issue 3 • March 1992
Pages: 420 - 441
Copyright
Copyright © 1992 ASCE.
History
Published online: Mar 1, 1992
Published in print: Mar 1992
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