Network Flow Programming Model for Multireservoir Sizing
Publication: Journal of Water Resources Planning and Management
Volume 123, Issue 1
Abstract
The paper describes a network flow programming (NFP) model for sizing of reservoirs in a multiple reservoir design problem. It is a multiperiod model, where all single period networks, representing reservoirs, rivers, canals, and demand points, are interconnected in adjacent periods by reservoir carryover arcs. Flows in carryover arcs represent reservoir storage and the maximum flow in an arc for a reservoir indicates storage capacity requirement for that reservoir. The carryover arcs are split into multiple arcs representing multiple zones in the storage capacity. Reservoir capacities are obtained by optimizing the flow in carryover arcs. The model enables to plan reservoirs for a desirable reliability in fulfillment of demands. The concept of preference matrix (PM) has been introduced to reflect the interreservoir and interzonal competitiveness based on the objective function. Applicability of the model is demonstrated by estimating the capacities of seven reservoirs in a water transfer scheme in India using the criterion of minimization of forest submergence.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Barr, R. S., Glover, F., and Kingman, D. (1974). “An improved version of the out of kilter method and a comparative study of computer codes.”Mathematical programming, Vol. 7, North-Holland Publishing Co., Amsterdam, The Netherlands, 60–86.
2.
Ford, L. R., and Fulkerson, D. R. (1962). Flow in networks. Princeton University Press, Princeton, N.J.
3.
Hydrologic Engineering Centre (HEC). (1982). HEC-5 simulation of flood control and conservation systems. U.S. Army Corps of Engrs., Davis, Calif.
4.
Jensen, P. A., and Wesley, B. J. (1980). Network flow programming. John Wiley & Sons, Inc., New York, N.Y.
5.
Kerr, J. A.(1972). “Multireservoir analysis techniques in water quality studies.”Water Resour. Bull., 8(5), 871–880.
6.
Khaliquzzaman. (1993). “A network flow programming model for multireservoir sizing,” PhD thesis, Indian Inst. of Technol., Delhi, India.
7.
Kuczera, G.(1989). “Fast multireservoir multiperiod linear programming models.”Water Resour. Res., 25(2), 169–176.
8.
Lall, U., and Miller, C. W.(1989). “An optimization model for screening multipurpose reservoir system.”Water Resour. Res., 24(7), 953–968.
9.
Major, D. C., and Lenton, R. L. (1979). Applied water resources system planning. Prentice-Hall, Inc., Englewood Cliffs, N.J.
10.
“Preliminary feasibility study of Par-Tapi-Narmada link.” (1991). Nat. Water Devel. Agency, Saket, New Delhi, India.
11.
Sabet, H., and Creel, C. L.(1991). “Network flow modeling of Oroville Complex.”J. Water Resour. Plng. and Mgmt., ASCE, 117(3), 301–320.
12.
Sigvaldason, O. T.(1976). “A simulation model for operating a multipurpose multireservoir system.”Water Resour. Res., 12(2), 263–278.
13.
Stedinger, J. R., Sule, B. F., and Pei, D.(1983). “Multiple reservoir system screening models.”Water Resour. Res., 19(6), 1383–1398.
14.
“Surface water resources allocation model AL-V.” (1981). Program Documentation and User's Man. Um-35, Texas Dept. of Water Resour., Austin, Tex.
15.
“Systems simulation for management of a total water resources.” (1970). Rep. 118, Texas Water Devel. Board, Austin, Tex.
Information & Authors
Information
Published In
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jan 1, 1997
Published in print: Jan 1997
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.