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BSU bulletin. Mathematics, Informatics

Bibliographic description:
Ryabikov A. I.
CONVERGENCE OF ITERATION PROCESSES IN THE MODEL OF RESERVOIR CASCADE // BSU bulletin. Mathematics, Informatics. - 2019. №4. . - С. 31-39.
Title:
CONVERGENCE OF ITERATION PROCESSES IN THE MODEL OF RESERVOIR CASCADE
Financing:
Codes:
DOI: 10.18101/2304-5728-2019-4-31-39UDK: 519.6
Annotation:
The article deals with the mathematical model of reservoirs, which allows studying various cascade control rules. One of the unresolved problems of using such models is the inequality of water volumes in reservoirs at the initial and final moments of the period of time, during which different control rules are compared. We have proposed an iterative algorithm for searching such initial volumes of water in reservoirs, which for a given control rule lead to coinciding volumes of water at the final moment. The convergence of this algorithm is shown.
Keywords:
dynamic system; simulation modelling; simple-iteration method; fixed point; reservoir cascade; control rules.
List of references:
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Bolgov M. V., Sarmanov I. O., Sarmanov O. V. Markovskiye protsessy v gidrologii [Markov Chain in Hydrology]. Moscow: Institute of Water Problems RAS, 2009. 210 p.