Abstract
This chapter describes the supply model used in plan formulation for the NAR. As described earlier the supply model was used to estimate sources and costs of flow to meet the demands specified by the NAR demand model. The sections of the chapter include: an introduction; model formulation; design variables and constraints; the objective function; and perspectives on the model. The model is described in detail in SP 220–289. Information on mathematical programming in general is available in many texts, among them Hadley (1962), Wagner (1975), and Bradley et al. (1977). Applications of mathematical programming to water resources are discussed in Maass et al. (1962), Hall and Dracup (1970), Buras (1972), and Loucks etal. (1981); a more general treatment of applications is in Cohon (1978). Linear and mixed-integer programming algorithms are now widely available for microcomputers; examples are LP83 and MIP83 (Sunset Software, 1987).
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References
Bradley, Stephen P., A. C. Hax, and T. L. Magnati, Applied Mathematical Programming, Addison-Wesley, Reading, Mass., 1977.
Buras, Nathan, Scientific Allocation of Water Resources, American General Services Publishing Company, New York, 1972.
Cohon, Jared, Multiobjective Programming and Planning, Academic Press, New York, 1979.
Dantzig, George, Linear Programming and Extensions, Princeton University Press, Princeton, N.J., 1963.
deLucia, Russell J. and Peter Rogers, “North Atlantic Regional Supply Model,” Water Resources Research 8:3, June, 1972, 760–764.
Hadley, G., Linear Programming, Addison-Wesley, Reading, Mass., 1962.
Hadley, G., Non-Linear and Dynamic Programming, Addison-Wesley, Reading, Mass., 1964.
Hall, Warren A. and John A. Dracup, Water Resources Systems Analysis, McGraw-Hill, New York, 1964.
IBM, “Mathematical Programming System— Extended (MPSX): Program Description’” TNLSH 20-0968-1, IBM Corporation, white Plains, New York, 1972.
Loucks, D. P., J. R. Stedinger, and D. A. Haith, Water Resources Systems Planning and Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1981.
Maass, Arthur et al., Design of Water-Resource Systems, Harvard University Press, Cambridge, Mass., 1962.
Major, David C., and Roberto L. Lenton, Applied Water Resource Systems Planning, Prentice-Hall, Englewood Cliffs, N.J., 1979.
Rogers, Peter, “On the Choice of the ‘Appropriate Model’ for Water Resources Planning and Management,” Water Resources Research 14:6, December, 1978, 1003–1010
Sunset Software, “LP83/MIP83: A Professional Linear Programming System,” San Marino, California, 1987.
Wagner, Harvey M., Principles of Operations Research, Prentice-Hall, Englewood Cliffs, N.J., 2nd ed., 1975.
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© 1990 Springer Science+Business Media Dordrecht
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Major, D.C., Schwarz, H.E. (1990). The Supply Model. In: Large-Scale Regional Water Resources Planning. Water Science and Technology Library, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2011-8_7
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DOI: https://doi.org/10.1007/978-94-009-2011-8_7
Publisher Name: Springer, Dordrecht
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