Linearized Optimization Model for Reliability-Based Design of Water Systems
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 11
Abstract
Optimal network design constrained by reliability is an improvement over the traditional methods for water-distribution system analysis. But the large computer time for reliability-optimization restricts its practical use for design. In this paper, a new technique is developed that applies a linear programming algorithm to optimal design constrained by reliability. The objective function and constraints are expressed by a first-order Taylor series expansion, and three submodels (a steady-state simulation model, a reliability model, and a linear optimization model) are linked in the algorithm. The optimal search is done in two steps. The first step is to search for an optimal solution and then the reliability and pressure heads, evaluated on this configuration, are compared with the constraint values. If there still exists a possibility that the cost of the system can be further decreased a new iteration is repeated. The computing burden is significantly decreased and, therefore, the proposed reliability-optimization technique can be used in planning large networks.
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References
1.
Alperovits, E., and Shamir, U.(1977). “Design of optimal distribution systems.”Water Resour. Res., 13(6), 885–900.
2.
Cullinane, M. J., Lansey, K. E., and Mays, L. W.(1992). “Optimization-availability-based design of water distribution networks.”J. Hydr. Engrg., ASCE, 118(3), 420–441.
3.
Duan, N., and Mays, L. W.(1990). “Reliability analysis of pumping systems.”J. Hydr. Engrg., ASCE, 116(2), 230–248.
4.
Duan, N., Mays, L. W., and Lansey, K. E.(1990). “Optimal reliability-based design of pumping and distribution systems.”J. Hydr. Engrg., ASCE, 116(2), 249–268.
5.
Goulter, I., and Bouchart, F.(1990). “Reliability-constrainted pipe network model.”J. Hydr. Engrg., ASCE, 116(2), 211–229.
6.
Lansey, K. E., Duan, N., Mays, L. W., and Tung, Y. K.(1989). “Water distribution system design under uncertainties.”J. of Water Resour. Plng. and Mgmt., 115(5), 630–645.
7.
Lansey, K. E., and Mays, L. W.(1989). “Optimization model for water distribution system design.”J. Hydr. Engrg., 115(10), 1401–1418.
8.
Morgan, D. R., and Goulter, I.(1985). “Optimal urban water distribution design.”Water Resour. Res., 21(5), 642–652.
9.
Quindry, G. E., Brill, E. D., and Liebman, J. C.(1981). “Optimization of looped water distribution systems.”J. Envir. Engrg., ASCE, 107(4), 665–679.
10.
Su, Y., Mays, L. W., and Lansey, K. E.(1987). “Reliability-based optimization model for water distribution systems.”J. Hydr. Engrg., 113(12), 1539–1556.
11.
Wanakule, N., Mays, L. W., and Lasdon, L. S.(1986). “Optimal management of large-scale aquifers: methodology and applications.”Water Resour. Res., 22(4), 447–465.
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Information
Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 11 • November 1997
Pages: 1020 - 1026
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Nov 1, 1997
Published in print: Nov 1997
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