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

• Autorzy: Matalytski M. , Kiturko O.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

optimal control; three-level HM-network; stochastic model; goods transport

PL

sterowanie optymalne; model stochastyczny; transport towarowy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 1
• Strony: 163--174
• Opis fizyczny: Bibliogr. 3 poz., rys., tab.

Twórcy

autor

Matalytski M.

autor

Kiturko O.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Matalytski M., Pankov A., Incomes probabilistic models of the banking network, Scientific Research of the Institute of Mathematics and Computer Science 2003, 1(2), 99-104.
• [2] Matalytski M., Pankov A., Analysis of the stochastic model of the changing of incomes in open banking network, Computer Science, Czestochowa University of Technology 2003, 3(5), 19-29.
• [3] Matalytski M., On some results in analysis and optimization of Markov networks with incomes and their application, Automation and Remote Control 2009, 70,10, 1683-1697.