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Solution of optimal control problem for the three-level HM-network. Part 1

100%

Matalytski M. , Kiturko O.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

tom Vol. 10, nr 1

163-174

We studied the three-level exponential HM queueing network with one type of requests and incomes, which is a stochastic model for goods transport in a logistics transport system. We obtained a system of difference equations for the expected income of the central system with and without a reduction of future income to the current time in the case of a finite and infinite control horizon maximizing the expected income of the central system. These problems are proposed to be solved by the method of complete enumeration control strategies.

Application of HM-networks in problems of transport logistics

80%

Matalycki M. , Kiturko O. , Basiewicz N.

tom Vol. 9, nr 2

153-172

The article deals with the technique allowing to estimate and forecast expected incomes, logistics transport systems subjects warehouse squares. The technique is based on application of HM (Howard-Matalytski) - queueing networks with incomes.