OPTIMIZATION OF THE OPERATION OF A COMPLEX WATER RESOURCES SYSTEM PART-I: ANALYSIS OF THE CONVERGENCE CRITERION IN A SOLUTION BY THE DISCRETE DIFFERENTIAL DYNAMIC PROGRAMMING
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Abstract
An iterative solution procedure necessarily involves pre- specified convergence criteria to stop teration. The Discrete Differential Dynamic Programming procedure to solve optimization problems formulated by the Dynamic Programming is an iterative solution procedure which, in its traditional form, involves two convergence criteria, namely, (a) and (B). The research used the optimum operation of an existing complex water resources system as a case study. The objective function was formulated as the maximum real monetary return. The formulated optimization model was run for a total of (194) different operation cases. Beside the traditional (a) and (B), seven new styles for a unique convergence criterion were examined in the solution. Considering the monetary return and the number of performed iterations as the bases of comparison, the research showed that the new (7) convergence criterion was the favorite among
the tested convergence criteria.
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ALI, A. A. S. [1978], Development of reservoir operating rules with particular reference to the River Tees system". Ph. D. thesis, University of Newcastle Upon Tyne, UK.
Bellman, R. E. [1957], Dynamic Programming, Princeton University Press, Princeton, N. J., U.S.A.
Bellman. R. E. [1961], Adaptive control processes, Princeton University Press, Princeton, N. J., U.S.A.
Bellman, R. E. and S. E. Dreyfus [1962, 1971]. Applied dynamic programming, Princeton University Press, Princeton, N. J., U.S.A.
Bellman, R. E. and S. E. Dreyfus [1962, 1971], Applied dynamic programming, Princeton University Press, Princeton, N. J., U.S.A.
CHOW, V. T. and G. C. RIVERA [1974], Application of DDDP in water resources planning". Water Resources Center; Research Report No. 78, University of Illinois, U.S.A.
Dantzig, G. B. [1963], Linear programming and extensions". Princeton University Press, Princeton, N. J., U.S.A.
Al-Delewy, Abdulhadi Ahmed [1995], Optimization of the operation of a complex water resources
system with application to the Diyala River system". Ph. D. dissertation, University of Technology. Baghdad.
Heidari. M.. V. T. Chow, P. V. Kokotovic and D. D. Meredith [1971], Discrete differential
dynamic programming approach to water resources systems optimization, WRR, 7(2). pp. 273- 282.
Nopmongol. P. and A. ASKEW [1976]. Multilevel incremental dynamic programming, WRR. 12(6). pp. 1291-1297.
Revelle, C.. E. Joeres and W. Kirby [1969], The linear decision rule in reservoir management and design 1 Development of the stochastic model". WRR, 5(4), pp. 767-777.