TECHNICAL PAPERS
Sep 1, 1987

Multiobjective Analysis in Optimal Solution of Hydraulic Networks

Publication: Journal of Hydraulic Engineering
Volume 113, Issue 9

Abstract

The optimal design of closed hydraulic networks with pumping stations and different flow rate conditions is considered. The main difficulties in determination of optimal solutions for such problems are related to: (1) Nonlinearity of objective functions and constraints equations; and (2) heterogeneity between construction costs and management costs. In fact it is not easy to consider in the objective function both initial construction costs, which are related to the pipe weight, and management costs, which arise later and are essentially related to the pumping energy. Therefore it appears to be more reasonable to use multiobjective techniques. These techniques are used in order to define the optimal Pareto set in the space of the objective functions: each step of the sequence is analyzed by reduced gradient methods, with pipe diameters chosen in a range of standard values. The constraints are related to: (1) Minimum values of piezometric head at the nodes; and (2) maximum values of velocities in the branches.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abadie, J., ed., “GRG Algorithm and Control Problems,” in Integer and Nonlinear Programming, North‐Holland, Amsterdam, Netherlands, 1970.
2.
Alperovits, G., and Shamir, U., “Design of Water Distribution Systems,” Water Resources Research, Vol. 13, No. 6, Dec., 1977.
3.
Bhave, P. R., “Selecting Pipe Sizes in Network Optimization by Linear Programming,” Journal of the Hydraulics Division, ASCE, Vol. 105, No. 7, Aug. 1979, pp. 1019–1025.
4.
Calhoun, C. A., Proceedings on Control of Flows in Closed Conduits, J. P. Tullis, ed., Colorado State University, Fort Collins, Colo., 1970, pp. 175–192.
5.
Cembrowicz, R. G., and Harrington, J. J., “Capital‐Cost Minimization of Hydraulic Network,” Journal of the Hydraulics Division, ASCE, Vol. 99, No. 3, Mar., 1973, pp. 431–440.
6.
Cenedese, A., and Mele, P., “Optimal Design of Water Distribution Network,” Journal of the Hydraulics Division, ASCE, Vol. 104, No. 2, Feb., 1978, pp. 237–240.
7.
Cenedese, A., and Mele, P., “Optimal Management and Design of Hydraulic Systems,” Water Resources Bulletin, AWRA, Vol. 14, Apr., 1978, pp. 384–391.
8.
Cohen, C., Vogelback Computing Center, Northeastern University, Boston, Mass., 1974.
9.
Deb, A. K., and Sarkar, A., “Optimization in Design of Hydraulic Network,” Journal of Sanitary Engineering Division, ASCE, Vol. 97, No. 2, Apr., 1971, pp. 141–160.
10.
Donachie, R. P., “Digital Program for Water Network Analysis,” Journal of the Hydraulics Division, ASCE, Vol. 100, No. 3, Mar., 1974, pp. 393–404.
11.
Epp, R., and Fowler, A. G., “Efficient Code for Steady‐State Flows in Networks,” Journal of the Hydraulics Division, ASCE, Vol. 96, No. 1, Jan., 1970, pp. 43–56.
12.
Gallerano, F., and Misiti, A., “Dimensionamento ottimale di reti chiuse a servizio di differenti regimi della domanda,” XVIII Convegno di Idraulica e Costruzioni Idrauliche, Bologna, Italy, 1982, pp. 197–208 (in Italian).
13.
Jacoby, L. S. S., “Design of Optimal Hydraulic Networks,” Journal of the Hydraulics Division, ASCE, Vol. 94, No. 3, May, 1968, pp. 641–662.
14.
Jeppson, R. W., and Davis, A. L., “Pressure Reducing Valves in Pipes Network Analyses,” Journal of the Hydraulics Division, ASCE, Vol. 102, No. 7, Jul., 1976, pp. 987–1002.
15.
Ladson, L. S., Fow, R., and Ratner, M. W., Math. Progr., Vol. 4, 1973, pp. 275–281.
16.
Lam, C. F., “Discrete Gradient Optimization of Water Systems,” Journal of the Hydraulics Division, ASCE, Vol. 99, No. 6, Jun., 1973, pp. 863–872.
17.
Lewis, T. I., and Mills, K. G., “Linear Theory Methods for Pipe Network Analysis,” Journal of the Hydraulics Division, ASCE, Vol. 106, No. 7, Jul., 1980, pp. 1191–1202.
18.
Quinary, G., Brill, Downey, and Liebman, J., “Optimization of Looped Water Distribution Systems,” Journal of Environmental Engineering Division, ASCE, Vol. 107, No. 4, Aug., 1981, pp. 665–680.
19.
Shamir, U., and Howard, C. D. D., “Water Distribution System Analysis,” Journal of the Hydraulics Division, ASCE, Vol. 102, No. 7, Jul., 1976, pp. 987–1002.
20.
Yang, K. P., Liang, T., and Wu, I. P., “Design of Conduit System with Diverging Branches,” Journal of the Hydraulics Division, ASCE, Vol. 101, No. 1, Jan., 1975, pp. 167–190.
21.
Watanada, T., “Least Cost Design of Water Distribution Systems,” Journal of the Hydraulics Division, ASCE, Vol. 99, No. 9, Sep., 1973, pp. 1497–1512.
22.
Wong, P. J., and Larson, R. E., Institute of Electrical and Electronics Engineers Transaction on Automatic Control, AC‐13 (5), IEEE, New York, N.Y., 1968.
23.
Wood, D. J., and Charles, C. O. A., “Hydraulic Network Analysis Using Linear Theory,” Journal of the Hydraulics Division, ASCE, Vol. 98, No. 7, Jul., 1972, pp. 1157–1170.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 113Issue 9September 1987
Pages: 1133 - 1143

History

Published online: Sep 1, 1987
Published in print: Sep 1987

Permissions

Request permissions for this article.

Authors

Affiliations

A. Cenedese
Full Prof., Dipartimento di Meccanica e Aeronautica, Università degli Studi di Roma “La Sapienza,” Rome, Italy
F. Gallerano
Researcher, Dipartimento di Idraulica, Trasporti e Strade, Università degli Studi di Roma “La Sapienza,” Rome, Italy
A. Misiti
Full Prof., Dipartimento di Idraulica, Trasporti e Strade, Università degli Studi di Roma “La Sapienza,” Rome, Italy

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share