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Solution of optimal control problem for the three-level HM-network. Part 2

Matalytski M., Kiturko O.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

Vol. 10, nr 2

155-167

A three-level HM queueing network with one type of requests and incomes, which is a stochastic model for goods transport in a logistics transport system is studied in this article. We studied the problems of control choice with and without a reduction of thecurrent time in the case of a finite and infinite control horizon maximizing the expected income of a central system. We have compared three methods to find optimal control: the method of complete enumeration strategies, Bellman's method of dynamic programming and Howard's method.