Quantifying the Economy of Water Supply Looped Networks
Publication: Journal of Hydraulic Engineering
Volume 133, Issue 1
Abstract
The economic advantages of a looped network have not been explicitly considered in the objective function of optimization models found in the literature. This paper introduces a new formulation and methodology in an attempt to give a practical solution to this problem. The new formulation consists of a nonlinear optimization model that is solved by classical differential calculus and the Newton-Raphson technique. An example shows how the looped network can be less costly than a branched one. Previous research usually optimized the network for a given design demand, but the value that should be specified as the desired network reliability has not been reported so far. This work shows how to obtain not only an adequate value for the reliability of a looped network but also the appropriate design demand, based on a thorough cost analysis. A detailed example illustrates the performance of the methodology.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
To the late Cristina Chiong Rojas, author of the Chiong formulation and method, who unfortunately passed away in 1997. The present work is a natural continuation of her research. The writer expresses his gratitude to the reviewers and the ASCE staff for their contribution to the improvement of the paper. Note: The two papers that originated in Cuba can be found in the Center for Hydraulic Research library upon request to [email protected] or to the writer.
References
Alperovits, E., and Shamir, U. (1977). “Design of optimal water distribution systems.” Water Resour. Res., 13(6), 885–900.
Awumah, K., Goulter, I., and Bhatt, S. K. (1991). “Entropy-based redundancy measures in water-distribution networks.” J. Hydraul. Eng., 117(5), 595–614.
Bao, Y., and Mays, L. W. (1990). “Model for water distribution system reliability.” J. Hydraul. Eng., 116(9), 1119–1137.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics, and decision for civil engineers, McGraw-Hill, New York.
Bhave, P. R. (1985). “Optimal expansion of water distribution systems.” J. Environ. Eng., 111(2), 177–197.
Bouchart, F., and Goulter, I. (1991). “Reliability improvements in design of water distribution networks recognizing valve location.” Water Resour. Res., 27(12), 3029–3040.
Chiong, C. (1985). “Optimization of closed-loop networks.” Ph.D. thesis, Centro de Investigaciones Hidráulicas, Ciudad Universitaria José Antonio Echeverria, Havana, Cuba (in Spanish).
Cullinane, M. J., Lansey, K. E., and Mays, L. W. (1992). “Optimization-availability-based design of water-distribution networks.” J. Hydraul. Eng., 118(3), 420–441.
Deb, A. K. (1973). “Least cost pipe network derivation.” Water Water Eng., 77(1), 18–21.
Duan, N., Mays, L. W., and Lansey, K. E. (1990). “Optimal reliability-based design of pumping and distribution systems.” J. Hydraul. Eng., 116(2), 249–268.
Gessler, J. (1982). “Optimization of pipe networks.” Proc., Int. Symp. on Urban Hydrology, Hydraulics, and Sediment Control, Univ. of Kentucky, Lexington, Ky., 165–171.
Goulter, I. (1992). “Systems analysis in water-distribution network design from theory to practice.” J. Water Resour. Plann. Manage., 118(3), 238–248.
Goulter, I., and Bouchart, F. (1990). “Reliability-constrained pipe network model.” J. Hydraul. Eng., 116(2), 211–229.
Goulter, I. C., and Coals, A. (1986). “Quantitative approaches to reliability assessment in pipe networks.” J. Transp. Eng., 112(3), 287–301.
Gupta, R., and Bhave, P. R. (1994). “Reliability analysis of water-distribution systems.” J. Environ. Eng., 120(2), 447–460.
Jowitt, P., and Xu, C. (1993). “Predicting pipe failure effects in water distribution networks.” J. Water Resour. Plann. Manage., 119(l), 18–31.
Khomsi, D., Walters, G. A., Thorley, A. R. D., and Ouazar, D. (1996). “Reliability tester for water-distribution networks.” J. Comput. Civ. Eng., 10(l), 10–19.
Loganathan, G. V., Greene, J. J., and Ahn, T. J. (1995). “Design heuristic for global minimum cost water-distribution systems.” J. Water Resour. Plann. Manage., 121(2), 182–192.
Martínez, J. B. (2001). “The concept of reliability in water supply networks.” 5th Int. Congress in Hydraulics, Pinar del Río, Cuba (in Spanish).
Morgan, D. R., and Goulter, I. C. (1985). “Optimal urban water distribution design.” Water Resour. Res., 21(5), 642–652.
Quindry, G. E., Liebman, J. C., and Brill, E. D. (1981). “Optimization of looped water distribution systems.” J. Envir. Engrg. Div., 107(4), 665–679.
Rowell, W. F., and Barnes, J. W. (1982). “Obtaining the layout of water distribution systems.” J. Hydr. Div., 108(1), 137–148.
Su, Y.-C., Mays, L. W., Duan, N., and Lansey, K. E. (1987). “Reliability-based optimization model for water distribution systems.” J. Hydraul. Eng., 113(12), 1539–1556.
Tanyimboh, T. T., and Templeman, A. B. (1993). “Maximum entropy flows for single-source networks.” Eng. Optimiz., 22(l), 49–63.
Tanyimboh, T. T., and Templeman, A. B. (2000). “A quantified assessment of the relationship between the reliability and entropy of water distribution systems.” Eng. Optimiz., 33, 179–199.
Templeman, A. B. (1982). “Discussion of ‘Optimization of looped water distribution systems’ by Quindry et al.” J. Envir. Engrg. Div., 108(3), 599–602.
Watanatada, T. (1973). “Least-cost design of water distribution systems.” J. Hydr. Div., 99(9), 1497–1513.
Xu, C., and Goulter, I. C. (1999). “Reliability-based optimal design of water distribution networks.” J. Water Resour. Plann. Manage., 125(6), 352–362.
Xu, C., and Goulter, I. C. (1997). “Simulation-based optimal design of reliable water distribution networks.” Proc., 3rd Int. Conf. on Modeling and Simulation, A. Zayegh, ed., Victoria Univ. of Technology, Melbourne, Australia, 107–112.
Xu, C., Goulter, I. C., and Tickle, K. S. (1998). “Probabilistic hydraulic models for assessing capacity reliability of aging water distribution infrastructure.” Proc., HydraStorm ’98, D. J. Walker and T. M. Daniell, eds., Institution of Engineers, Sydney, Australia, 165–170.
Yassin-Kassab, A., Templeman, A. B., and Tanyimboh, T. T. (1999). “Calculating maximum entropy flows in multi-source, multi-demand networks.” Eng. Optimiz., 31(6), 695–729.
Information & Authors
Information
Published In
Copyright
© 2007 ASCE.
History
Received: Oct 26, 2004
Accepted: Apr 11, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.