Reservoir Planning for Irrigation District
Publication: Journal of Water Resources Planning and Management
Volume 117, Issue 1
Abstract
A mixed integer linear optimization model for river basin development for irrigation is presented. The model is a chance‐constrained optimization model that considers the interactions between design and operation parameters (reservoir capacity, delivery system capacity, hectares of land to be developed and planted to different crops, etc.). The model is capable of integrating all decision variables in the design phase, thus accounting directly for any interdependency between the design variables. The model uses a mixed integer technique to linearize the nonlinear cost functions and is applicable to concave and convex cost functions. Solution of the model provides the optimum extent of the land development for irrigation, cropping pattern, reservoir and canal capacities, as well as the necessary linear decision rule operational parameters. Also, solution of the model reveals the importance of direct inclusion of the reservoir cost in the model in comparison to only minimizing the reservoir capacity under an assumed demand distribution.
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References
1.
Afshar, A., and Mariño, M. A. (1989). “Optimization models for wastewater reuse in irrigation.” J. Irrig. and Drain. Engrg., ASCE, 115(2), 185–202.
2.
Anderson, R. L. (1968). “A simulation program to establish optimum crop patterns on irrigated farms based on preseason estimates of water supply.” Amer. J. Agric. Economics, 50(4), 1586–1590.
3.
Bower, T. A., Hufschmidt, M. M., and Reedy, W. W. (1962). “Operating procedure: Their role in design of water resources systems by simulation analysis.” Design of Water Resources Systems, A. Maass, ed., Harvard University Press, Cambridge, Mass., 444–460.
4.
Chávez‐Morales, J., Mariño, M. A., and Holzapfel, E. A. (1987). “Planning model of irrigation district.” J. Irrig. and Drain. Engrg., ASCE, 113(4), 549–564.
5.
Dudley, N. J., and Burt, O. R. (1973). “Stochastic reservoir management and system design for irrigation.” Water Resour. Res., 9(3), 507–522.
6.
Eisel, L. M. (1972). “Chance constrained reservoir model.” Water Resour. Res., 8(2), 339–347.
7.
Houck, M. H., and Datta, B. (1981). “Performance evaluation of a stochastic optimization model for reservoir design and management with explicit reliability criteria.” Water Resour. Res., 17(4), 827–832.
8.
Joeres, E. F., Seus, G. J., and Engelmann, H. M. (1981). “The linear decision rule (LDR) reservoir problem with correlated inflows, 1, Model development.” Water Resour. Res., 17(1), 18–24.
9.
Loucks, D. P. (1970). “Some comments on linear decision rules and chance‐constraints.” Water Resour. Res., 6(2), 668–671.
10.
Loucks, D. P., and Dorfman, P. J. (1975). “An evaluation of some linear decision rules in chance‐constrained models for reservoir planning and operation.” Water Resour. Res., 11(6), 777–782.
11.
Loucks, D. P., Stedinger, J. R., and Haith, D. A. (1981). Water resource systems planning and analysis. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
12.
Maji, C. C., and Heady, E. O. (1980). “Optimal reservoir management and crop planning under deterministic and stochastic inflows.” Water Resour. Bull., 16(3), 438–443.
13.
Mariño, M. A., and Mohammadi, B. (1983). “Reservoir management: A reliability programming approach.” Water Resour. Res., 19(3), 613–620.
14.
Matanga, G. B., and Mariño, M. A. (1979). “Irrigation planning, 1, cropping pattern.” Water Resour. Res., 15(3), 672–678.
15.
ReVelle, C., Joeres, E., and Kirby, W. (1969). “The linear decision rule in reservoir management and design, 1, development of the stochastic model.” Water Resour. Res., 5(4), 767–777.
16.
ReVelle, C., and Kirby, W. (1970). “Linear decision rule in reservoir management and design, 2, performance optimization.” Water Resour. Res., 6(4), 1033–1044.
17.
Simonovic, S. P., and Mariño, M. A. (1980). “Reliability programming in reservoir management, 1, single multipurpose reservoir.” Water Resour. Res., 16(5), 844–848.
18.
Stedinger, J. R. (1984). “The performance of L.D.R. models for preliminary design and reservoir operation.” Water Resour. Res., 20(2), 215–224.
19.
Stedinger, J. R., Sule, B. F., and Pei, D. (1983). “Multiple reservoir system screening models.” Water Resour. Res., 19(6), 1383–1393.
20.
Stewart, J. I., and Hagan, R. M. (1973). “Functions to predict effects of crop water deficits.” J. Irrig. and Drain. Engrg., ASCE, 99(4), 421–439.
21.
Yeh, W. W.‐G. (1985). “Reservoir management and operations models: A state‐of‐the‐art review.” Water Resour. Res., 21(2), 1797–1818.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 117 • Issue 1 • January 1991
Pages: 74 - 85
Copyright
Copyright © 1991 ASCE.
History
Published online: Jan 1, 1991
Published in print: Jan 1991
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