Geodesic
Insensibility of stationary distribution of queueing network with multimode strategies states when parameters of the servicing and switching processes are dependent on unit state
Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 76-80.

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The open queueing network with polytypic demands is considered in the article. The single line units can work in some strategies. The quantity of the work which are necessary for servicing of demand and for switching from one strategy to another are random variables with arbitrary distribution function. The parameters of servicing and switching processes are dependent on the general unit state. It was proved that stationary distribution is invariant in relation to functional form of distribution of work’s quantities which are necessary for servicing of demands and switching of strategies, on condition that first moments are fast.
Keywords: queueing network, stationary distribution, insensibility.
Mots-clés : multimode service 
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A. R. Eryomina. Insensibility of stationary distribution of queueing network with multimode strategies states when parameters of the servicing and switching processes are dependent on unit state. Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 76-80. http://geodesic.mathdoc.fr/item/PFMT_2012_2_a12/

[1] Yu. V. Malinkovskii, A. Yu. Nueman, “Multiplikativnost statsionarnogo raspredeleniya v otkrytykh setyakh s mnogorezhimnymi strategiyami obsluzhivaniya”, Vestsi NAN Belarusi, 2001, no. 3, 129–134 | MR

[2] Yu. E. Letunovich, “Statsionarnoe raspredelenie sostoyanii otkrytoi neodnorodnoi seti s mnogorezhimnymi strategiyami i nemedlennym obsluzhivaniem”, Sovremennye informatsionnye kompyuternye tekhnologii, Sb. nauchn. st. mezhdunar. nauchno-praktich. konf. (Grodno, 21–24 aprelya 2008 g., GrGU im. Ya. Kupaly), v. 2, eds. E. A. Rovba, A. M. Kadan i dr., GrGU, Grodno, 2008, 97–99

[3] Yu. V. Malinkovskii, A. N. Starovoitov, A. R. Eremina, “Invariantnost statsionarnogo raspredeleniya veroyatnostei sostoyanii setei s mnogorezhimnymi strategiyami obsluzhivaniya, raznotipnymi zayavkami i distsiplinoi obsluzhivaniya LCFS PR”, Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaya tekhnika i informatika, 2009, no. 3(8), 33–39

[4] V. A. Ivnitskii, Teoriya setei massovogo obsluzhivaniya, Fizmatlit, M., 2004