Optimal Rehabilitation Model for Water‐Distribution Systems
Publication: Journal of Water Resources Planning and Management
Volume 120, Issue 5
Abstract
This paper describes a new methodology that can select the pipes to be rehabilitated and/or replaced in an existing water‐distribution system and determine the increase in pumping capacities so that the water demand and pressure requirements at all demand nodes are satisfied while the total rehabilitation and energy cost is minimized. Four cost functions are considered: pipe replacement cost, pipe rehabilitation cost, pipe repair cost, and pumping cost. The methodology considers the trade‐offs among decisions regarding each pipe: replace pipes, reline pipes, or leave as is. The mathematical formulation is a mixed‐integer nonlinear programming problem. The solution procedure combines an implicit enumeration scheme using a branch and bound algorithm along with a generalized reduced gradient procedure to solve a nonlinear subproblem. The nonlinear subproblem is solved by interfacing a hydraulic simulator (KYPIPE) with the GRG2 optimizer in which the pipe diameter and pump horsepower are the decision (control) variables.
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References
1.
Brion, L., and Mays, L. W. (1991). “Methodology for optimal operation of pumping stations in water distribution systems.” J. Hydr. Engrg., ASCE, 117(11), 1551–1571.
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., Mays, L. W., and Lansey, K. E. (1990). “Optimal reliability‐based design and analysis of pumping systems for water distribution systems.” J. Hydr. Engrg., ASCE, 116(2), 249–268.
4.
“Engineering and design‐evaluation of existing water distribution systems.” (1983). Engr. Tech. Letter No. 1110‐2‐278, U.S. Army Corps of Engineers, Washington D.C.
5.
Kim, J. H. (1992). “Optimal rehabilitation/replacement for water distribution systems,” PhD thesis, University of Texas, Austin, Tex.
6.
Lansey, K. E., and Mays, L. W. (1989). “Optimization model for water distribution system design.” J. Hydr. Engrg., ASCE, 115(10), 1401–1418.
7.
Lansey, K. E., Basnet, C., Mays, L. W., and Woodburn, J. (1992). “Optimal maintenance scheduling for water distribution systems.” Civ. Engrg. Systems, 9, Gordon and Breach Science Publishers, U.K., 211–226.
8.
Lasdon, L. S., and Warren, A. D. (1986). GRG2 user's guide. Department of General Business, University of Texas, Austin, Tex.
9.
O'Day, D. K. (1982). “Organizing and analyzing leak and break data for making main replacement decisions.” J. Am. Water Works Assoc., 74(11), 589–594.
10.
Shamir, U., and Howard, C. D. (1979). “An analytic approach to scheduling pipe replacement.” J. Am. Water Works Assoc., 71(5), 249–258.
11.
Sullivan, J. P. Jr. (1982). “Maintaining aging systems—Boston's approach.” J. Am. Water Works Assoc., 74(11), 555–559.
12.
Walski, T. M. (1982). “Economic analysis for rehabilitation of water mains.” J. Water Res. Plng. and Mgmt., ASCE, 108(3), 296–308.
13.
Walski, T. M. (1985). “Cleaning and lining versus parallel mains.” J. Water Res. Plng. and Mgmt., ASCE, 111(1), 43–53.
14.
Walski, T. M., and Pelliccia, A. (1982). “Economic analysis of water main breaks.” J. Am. Water Works Assoc., 74(3), 140–147.
15.
Wood, D. J. (1980). “Computer analysis of flow in pipe networks including extended period simulations.” Rep., University of Kentucky, Lexington, Ky.
16.
Woodburn, J., Lansey, K. E., and Mays, L. W. (1987). “Model for the optimal rehabilitation and replacement of water distribution system components.” Proc., 1987 Nat. Conf. on Hydr. Engrg., ASCE, New York, N.Y., 606–611.
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Copyright © 1994 American Society of Civil Engineers.
History
Received: Jan 14, 1993
Published online: Sep 1, 1994
Published in print: Sep 1994
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