Geodesic
Research of the multiregime queueing network with abstract description of the conditions
Problemy fiziki, matematiki i tehniki, no. 1 (2014), pp. 85-89.

Voir la notice de l'article provenant de la source Math-Net.Ru

Open queueing network with different types of customers and multiregime service strategies is investigated. Every node can operate in several regimes answering different degrees of their working capacity. The condition of the node is described abstractly and can not coincide with number of the customers in it. The conditions of multiplicativity and an analytical view of stationary distribution of the network states probabilities are found.
Keywords: queueing network, different types of customers, abstract description, stationary distribution.
Mots-clés : multiregime service 
@article{PFMT_2014_1_a14,
     author = {O. V. Yakubovich and Y. E. Dudovskaya},
     title = {Research of the multiregime queueing network with abstract description of the conditions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {85--89},
     publisher = {mathdoc},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_1_a14/}
}
TY  - JOUR
AU  - O. V. Yakubovich
AU  - Y. E. Dudovskaya
TI  - Research of the multiregime queueing network with abstract description of the conditions
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2014
SP  - 85
EP  - 89
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2014_1_a14/
LA  - ru
ID  - PFMT_2014_1_a14
ER  - 
%0 Journal Article
%A O. V. Yakubovich
%A Y. E. Dudovskaya
%T Research of the multiregime queueing network with abstract description of the conditions
%J Problemy fiziki, matematiki i tehniki
%D 2014
%P 85-89
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2014_1_a14/
%G ru
%F PFMT_2014_1_a14
O. V. Yakubovich; Y. E. Dudovskaya. Research of the multiregime queueing network with abstract description of the conditions. Problemy fiziki, matematiki i tehniki, no. 1 (2014), pp. 85-89. http://geodesic.mathdoc.fr/item/PFMT_2014_1_a14/

[1] A. R. Eremina, “Invariantnost statsionarnogo raspredeleniya sostoyanii seti s mnogorezhimnymi strategiyami v sluchae zavisimosti parametrov protsessov obsluzhivaniya i pereklyucheniya ot sostoyaniya uzla”, Problemy fiziki, matematiki i tekhniki, 2012, no. 2 (11), 76–80

[2] O. V. Yakubovich, Yu. E. Dudovskaya, “Mnogorezhimnaya set massovogo obsluzhivaniya so sluchainym vremenem prebyvaniya razlichnykh tipov otritsatelnykh zayavok”, Problemy fiziki, matematiki i tekhniki, 2012, no. 4 (13), 74–77

[3] Yu. V. Malinkovskii, “Kriterii predstavimosti statsionarnogo raspredeleniya sostoyanii otkrytoi markovskoi seti obsluzhivaniya s neskolkimi klassami zayavok v forme proizvedeniya”, Avtomatika i telemekhanika, 1991, no. 4, 75–83 | MR

[4] A. N. Kolmogorov, “K teorii tsepei Markova”, Teoriya veroyatnostei i matematicheskaya statistika, sb. statei, Nauka, M., 1986, 173–178 | MR

[5] J. R. Jackson, “Jobshop-like Queueing Systems”, Manag. Sci., 10:1 (1963), 131–142 | DOI

[6] P. P. Bocharov, A. V. Pechinkin, Teoriya massovogo obsluzhivaniya, uchebnik, RUDN, M., 1995, 529 pp.