TECHNICAL PAPERS
Nov 1, 1990

Goal‐Programming Techniques for Optimal Reservoir Operations

Publication: Journal of Water Resources Planning and Management
Volume 116, Issue 6

Abstract

The problem of optimal reservoir operations consists of obtaining optimal releases, reservoir storages, and downstream reach routed flows based on forecasted inflows and precipitation. Five goal‐programming schemes that minimize deviations from a set of preferred target storage and flow values are considered: (1) Preemptive goal programming; (2) weighted goal programming; (3) min‐max goal programming, (4) fuzzy goal programming; and (5) interval goal programming. The reservoir operation problem is also formulated as a multiobjective linear program (MOLP). The optimal solutions of the goal programs are contained among the efficient points of the MOLP. It is also shown that the min‐max and fuzzy goal programs can yield inefficient points as optima; however, there exist efficient alternative optima. Because goal programs concentrate on achieving predetermined subjective target values, the potential optima for objectives may not be explored. An examination of the extreme points of the feasible region without the goal constraints overcomes this difficulty and provides a way to set realistic targets. These techniques are applied to the Green River basin in Kentucky data reported previously by other researchers.

Get full access to this article

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

References

1.
Benson, H. P., and Morin, T. L. (1977). “The vector maximization problem: Proper efficiency and stability.” SIAM J. Appl. Math., 32(1), 64–72.
2.
Can, E. K., Houck, M. H., and Toebes, G. H. (1982). “Optimal real‐time reservoir system operation: Innovative objectives and implementational problems.” Technical Report 150, Purdue Water Resour. Res. Ctr., West Lafayette, Ind.
3.
Can, E. K., and Houck, M. H. (1984). “Real‐time reservoir operations by goal programming.” J. Water Resour. Planning and Mgmt., ASCE, 110(3), 297–309.
4.
Changchit, C., and Terrell, M. P. (1989). “CCGP model for multiobjective reservoir systems.” J. Water Resour. Planning and Mgmt, ASCE, 115(5), 658–670.
5.
Cohon, J. L. (1978). Multiobjective Programming and Planning. Academic Press, New York, N.Y.
6.
Datta, B., and Burges, J. (1984). “Short‐term, single, multiple purpose reservoir operation: Importance of loss functions and forecast errors.” Water Resour. Res., 20(9), 1167–1176.
7.
Geoffrion, A. M. (1968). “Proper efficiency and theory of vector maximization.” J. Math. Analysis and Applications, 22(3), 618–630.
8.
Hannan, E. L. (1981). “On fuzzy goal programming.” Decision Sci., 12, 522–531.
9.
Hannan, E. L. (1982). “Contrasting fuzzy goal programming and fuzzy multicriteria programming.” Decision Sci., 13, 337–339.
10.
Ignizio, J. P. (1982). Linear programming in single & multiple objective systems. Prentice‐Hall, Englewood Cliffs, N.J.
11.
Kelly, K. F. (1986). “Reservoir operation during drought: Case studies.” Research Document No. 25, Hydrologic Engrg. Ctr., Davis, Calif.
12.
Loucks, D. P., Stedinger, J. R., and Haith, D. A. (1981). Water resources systems planning and analysis, Prentice Hall, Englewood Cliffs, N.J.
13.
Mein, R. G., and McMahon, T. A. (1986). River and reservoir yield. Water Resour. Publications, Littleton, Colo.
14.
Morris, H. M., and Wiggert, J. M. (1972). Applied hydraulics in engineering, John Wiley and Sons, New York, N.Y.
15.
Raiffa, H. (1970). Decision analysis, Addison Wesley, Reading, Mass.
16.
Raudkivi, A. J. (1979). Hydrology: An advanced introduction to hydrological processes and modelling. Pergamon Press, New York, N.Y.
17.
Saaty, T. L. (1977). “A scaling method for priorities in hierarchical structures.” J. Math. Psych., 15(3), 234–281.
18.
Sherali, H. D. (1982). “Equivalent weights for lexicographic multiobjective programs: Characterization and computations.” European J. Operational Res., 367–379.
19.
Steuer, R. E. (1986). Multiple criteria optimization: Theory, computation and application. John Wiley and Sons, New York, N.Y.
20.
Thampapillai, D. J., and Musgrave, W. F. (1985). “Flood damage mitigation: A review of structural and nonstructural measures and alternative decision frameworks.” Water Resour. Res., 21(4), 411–424.
21.
Toebes, G. H., Rukvichai, C., and Lin, Y. S. (1976). “Operating policy simulation for a reservoir system.” Technical Report 80, Purdue Water Resour. Res. Ctr., West Lafayette, Ind.
22.
Toebes, G. H., and Rukvichai, C. (1978). “Reservoir system operating policy—Case study.” J. Water Resour. Planning and Mgmt. Div., ASCE, 104(1), 175–191.
23.
Yazicigil, H., Houck, M. H., and Toebes, G. H. (1983). “Daily operation of a multipurpose reservoir system.” Water Resour. Res., 19(1), 1–13.
24.
Yeh, W. W. G. (1985) “Reservoir management and operations models: A state‐of‐the‐art‐review.” Water Resour. Res., 21(12), 1797–1818.
25.
Zeleny, M. (1974). Linear multiobjective programming, Springer‐Verlag, New York, N.Y.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 116Issue 6November 1990
Pages: 820 - 838

History

Published online: Nov 1, 1990
Published in print: Nov 1990

Permissions

Request permissions for this article.

Authors

Affiliations

G. V. Loganathan, Associate Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Virginia Polytechnic Inst. and State Univ., Blacksburg, VA 24061
D. Bhattacharya
Engr., Whitney, Bailey, Cox, and Magnani Consulting Engrs., Timmonium, MD 21093

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