TECHNICAL PAPERS
Jul 1, 1996

Fuzzy Rule-Based Modeling of Reservoir Operation

Publication: Journal of Water Resources Planning and Management
Volume 122, Issue 4

Abstract

A fuzzy rule-based model is constructed to derive operation rules for a multipurpose reservoir. The case study of the Tenkiller Lake in Oklahoma illustrates the methodology. Operation rules are generated on the basis of economic development criteria such as hydropower; municipal; industrial and irrigation demands; flood control and navigation; and environmental criteria such as water quality for fish and wildlife preservation, recreational needs, and downstream flow regulation. The fuzzy rule-based model operates on an “if-then” principle, where the “if” is a vector of fuzzy explanatory variables or premises and “then,” of fuzzy consequences. The reservoir storage level, estimated inflows, and demands are used as the premises and release from the reservoir is taken as the consequence. Split sampling of historical data (mean daily time series of flow, lake level, demands, and releases) is used to train and then validate the rules. Different performance indices are calculated and two figures of merit, namely, engineering sustainability and engineering risk are developed for evaluating the rules generated by the model, which appears to be easy to construct, apply, and extend to a complex system of reservoirs.

Get full access to this article

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

References

1.
Bárdossy, A., and Disse, M.(1993). “Fuzzy rule-based models for infiltration.”Water Resour. Res., 29(2), 373–382.
2.
Bárdossy, A., and Duckstein, L. (1995). Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems . CRC Press, Boca Raton, Fla.
3.
Berger, J. O. (1985). Statistical decision theory, foundations, concepts, and methods . Springer-Verlag, New York, N.Y.
4.
Bruce, J. P. (1992). “Meteorology and hydrology for sustainable development.”World Meteorological Org. No. 769, Secretariat of the World Meteorological Org. (WMO), Geneva, Switzerland.
5.
Civanlar, M. R., and Trussel, H. F. (1986). “Constructing membership functions using statistical data.”Fuzzy Sets and Sys., Vol. 18, 1–13.
6.
Dracup, J. A., and Kendall, D. R. (1991). “Risk and reliability in predicting droughts: the use of prehistoric tree-ring data.”Water resources engineering risk assessment, J. Ganoulis, ed., NATO ASI Ser. G-29, Springer-Verlag, Heidelberg, Germany, 415–434.
7.
Dubois, D., and Prade, H. (1980). Fuzzy sets and systems: theory and applications . Academic Press, New York, N.Y.
8.
Dubois, D., and Prade, H. (1986). “Fuzzy sets and statistical data.”Eur. J. Operational Res., Vol. 25, 345–356.
9.
Duckstein, L., and Heidel, K. (1988). “Estimation of fuzzy set membership functions using value function transformation.”Proc., 4th Int. Conf. on the Found. and Applications of Utility, Risk and Decision Theory.
10.
Duckstein, L., and Parent, E. (1994). “Systems engineering of natural resources under changing physical conditions: a framework for reliability and risk.”Natural resources management, L. Duckstein and E. Parent, eds., Kluwer, Dordreche, The Netherlands.
11.
Duckstein, L., Shrestha, B. P., and Stakhiv, E. Z. (1991). “Multicriterion risk and reliability analysis in hydrologic system design.”Water resources engineering risk assessment, J. Ganoulis, ed., NATO ASI Ser., G-29, Springer-Verlag, Heidelberg, Germany, 363–392.
12.
Haimes, Y. Y.(1992). “Sustainable development: a holistic approach to natural resource management.”IEEE Trans. on Sys., Man, and Cybernetics, 22(3), 413–417.
13.
Hatch, H. J. (1992). “Accepting the challenge of sustainable development.”The Bridge—Nat. Acad. Engrg., 22(1).
14.
Gleick, P. H., Loh, P., Gomez, S. V., and Morrison, J. (1995). “Water and Sustainability.”California Water 2020, A Sustainable Vision, Pacific Inst. for Studies in Devel., Environment, and Security, Calif., 23–28.
15.
Kaufmann, A., and Gupta, M. M. (1991). Introduction to fuzzy arithmetic: theory and applications . Van Nostrand Reinhold, New York, N.Y.
16.
Kosko, B. (1992). Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence . Prentice-Hall, Inc., Engelwood Cliffs, N.J.
17.
Kosko, B. (1993). Fuzzy thinking: the new science of fuzzy logic . Hyperion, New York, N.Y.
18.
Muster, H., Bárdossy, A., and Duckstein, L. (1994). “Adaptive neuro-fuzzy modeling of a non-stationary hydrologic variable.”Proc., Int. Symp. on Water Resour. in a Changing World, II-221–II-230.
19.
Plate, E. J. (1993). “Sustainable development of water resources: a challenge to science and engineering.”Water Int., Vol. 18, 84–94.
20.
Reilly, W. K. (1990). Sustainable development: from paradox to paradigm, keynote address, U.N. economic commission for Europe and U.S. environmental protection agency workshop on the economics of sustainable development . Smithsonian Inst., Washington, D.C.
21.
Ruckelshaus, W. D. (1989). “Towards a sustainable world.”Scientific Am., 261(3).
22.
Shamir, U. (1987). “Reliability of water supply systems,”Engineering reliability and risk in water resources, L. Duckstein and E. J. Plate, eds., NATO ASI Ser., Martinus Nijhoff Publishers, Dordrecht, The Netherlands.
23.
Simonovic, S. P.(1992). “Closing gap between theory and practice.”J. Water Resour. Plng. and Mgmt., ASCE, 118(3), 262–280.
24.
Türksen, I. B.(1991). “Measurement of membership functions and their acquisition.”Fuzzy Set and Syst., 40(1), 5–34.
25.
U.S. Army Corps of Engineers. (1982). “Restudy of Tenkiller Ferry Lake Illinois River, Oklahoma.”Draft Survey Rep. and Envir. Impact Statement, Southwestern Div., Tulsa Dist., Okla.
26.
World Commission on Environment and Development (WCED). (1987). Our common future . Oxford University Press, New York, N.Y.
27.
Zadeh, L. (1965). “Fuzzy sets.”Information and Control, Vol. 8, 338–353.
28.
Zimmermann, H. J. (1985). Fuzzy set theory and its application . Kluwer Nijhoff Publishing, Dordrecht, The Netherlands.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 122Issue 4July 1996
Pages: 262 - 269

History

Published online: Jul 1, 1996
Published in print: Jul 1996

Permissions

Request permissions for this article.

Authors

Affiliations

Bijaya P. Shrestha, Member, ASCE,
Postdoctoral Res. Assoc., School of Civ. and Envir. Engrg., Hollister Hall, Cornell Univ., Ithaca, NY 14853.
Lucien Duckstein, Member, ASCE,
Prof., Dept. of Sys. and Industrial Engrg., Univ. of Arizona, Tucson, AZ 85721.
Eugene Z. Stakhiv, Member, ASCE
Chf., IWR, Policy and Spec. Studies Div., U.S. Army Corps of Engrs., Casey Build., Fort Belvoir, VA 22060.

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