Minimum Cost Irrigation Network Design Using Interactive Fuzzy Integer Programming
Publication: Journal of Irrigation and Drainage Engineering
Volume 133, Issue 3
Abstract
Minimum cost irrigation network design has been conventionally based on crisp pressure requirements at the hydrants of the network. In order to incorporate obscure knowledge on these pressure requirements at the design stage, an interactive fuzzy integer programming methodology is proposed. In the integer linear programming, formulation membership functions are adopted for expressing pressure constraints. Also, the interactive character of the proposed methodology enables the designer to select a less demanding range of pressures at some “critical” hydrants. By using the proposed methodology significant economic gains may be achieved reducing the cost of the network, since the energy line is adapted more satisfactorily to the ranging pressure requirements. Finally, an application of the methodology to an irrigation network is presented.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The research reported in this study is an extract from Project No. UNSPECIFIED68/0715 in the framework of the “HRAKLEITOS” program which is cofunded by the European Social Fund and Greek National Resources. The writers also wish to thank the three anonymous referees for their constructive comments.
References
Bellman, R., and Zadeh, L. (1970). “Decision-making in a fuzzy environment.” Manage. Sci., 17, B-141–B-164.
Chang, N. B., Wen, C. G., and Chen, Y. L. (1997). “A fuzzy multi-objective programming approach for optimal management of the reservoir watershed.” Eur. J. Oper. Res., 99(2), 289–302.
Jairaj, P. G., and Vedula, S. (2003). “Modeling reservoir irrigation in uncertain hydrologic environment.” J. Irrig. Drain. Eng., 129(3), 164–172.
Karnib, A. (2004). “An approach to elaborate priority preorders of water resources projects based on multi-criteria evaluation and fuzzy sets analysis.” Water Resour. Manage., 18(1), 13–33.
Kindler, J., and Tyszewski, S. (1995). “On the value of fuzzy concepts in hydrology and water resources management.” New uncertainty concepts in hydrology and water resources, Z. Kundzewicz, ed., Cambridge University Press, Cambridge, U.K., 126–132.
Li, L., and Lai, K. K. (2000). “A fuzzy approach to the multiobjective transportation problem.” Comput. Oper. Res., 27(1), 43–57.
Mays, L., and Tung, Y.-K. (1992). “Hydrosystems engineering and management.” Water distribution systems, McGraw-Hill, New York, 354–386.
Rommelfanger, H. (1996). “Fuzzy linear programming and its applications.” Eur. J. Oper. Res., 92(3), 512–527.
Rommelfanger, H. (2004). “The advantages of fuzzy optimization models in practical use.” Fuzzy Optimizational and Decision Making, 3(4), 295–309.
Sahoo, B., Lohani, A., and Sahu, R. (2006). “Fuzzy multiobjective and linear programming based management models for optimal land-water-crop system planning.” Water Resour. Manage., 20(6), 931–948.
Slowinski, R. (1986). “A multicriteria fuzzy linear programming method for water supply system development planning.” Fuzzy Sets Syst., 19(3), 217–237.
Tsakiris, G., and Derkas, N. (2006). “Cooperative irrigation network design.” Hydraulic works: Design and management, G. Tsakiris, ed., Vol. II, Symmetria Publications, Athens, Greece, 383–498 (in Greek).
Tsakiris, G., and Spiliotis, M. (2002). “Water allocation based on fuzzy objective function and fuzzy constraints.” Proc., 5th Int. Conf. of EWRA—Water Resources Management in the Era of Transition, G. Tsakiris, ed., Athens, Greece, 252–267.
Werners, B. (1987). “An interactive fuzzy programming system.” Fuzzy Sets Syst., 23(1), 131–147.
Zimmermann, H. J. (1987). “Fuzzy set theory and decision analysis.” Fuzzy mathematical programming, Kluwer Academic, Boston, 71–124.
Zimmermann, H. J. (1996). “Fuzzy set theory and its applications.” Decision making in fuzzy environments, Kluwer Academic, Boston, 281–320.
Information & Authors
Information
Published In
Copyright
© 2007 ASCE.
History
Received: Oct 20, 2005
Accepted: Dec 5, 2006
Published online: Jun 1, 2007
Published in print: Jun 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.