Geodesic
Stationary distribution insensitivity of an open queueing network with non-active customers and multimode service strategies
Problemy fiziki, matematiki i tehniki, no. 4 (2016), pp. 59-62.

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

Stationary distribution of conditions probabilities of the open queueing network is investigated. Devices of the nodes can operate in several modes. There are two types of customers in the nodes: ordinary (active) customers and temporarily non-active customers. There are input flows of signals that allow customers to change the state: from non-active state pass into the state when they can receive service and backwards. Stationary distribution insensitivity with respect to functional form of distribution of work quantity for customer service is established.
Keywords: queueing network, non-active customers, stationary distribution insensitivity.
Mots-clés : multimode service 
@article{PFMT_2016_4_a9,
     author = {J. S. Kruk and Y. E. Dudovskaya},
     title = {Stationary distribution insensitivity of an open queueing network with non-active customers and multimode service strategies},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {59--62},
     publisher = {mathdoc},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_4_a9/}
}
TY  - JOUR
AU  - J. S. Kruk
AU  - Y. E. Dudovskaya
TI  - Stationary distribution insensitivity of an open queueing network with non-active customers and multimode service strategies
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2016
SP  - 59
EP  - 62
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2016_4_a9/
LA  - ru
ID  - PFMT_2016_4_a9
ER  - 
%0 Journal Article
%A J. S. Kruk
%A Y. E. Dudovskaya
%T Stationary distribution insensitivity of an open queueing network with non-active customers and multimode service strategies
%J Problemy fiziki, matematiki i tehniki
%D 2016
%P 59-62
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2016_4_a9/
%G ru
%F PFMT_2016_4_a9
J. S. Kruk; Y. E. Dudovskaya. Stationary distribution insensitivity of an open queueing network with non-active customers and multimode service strategies. Problemy fiziki, matematiki i tehniki, no. 4 (2016), pp. 59-62. http://geodesic.mathdoc.fr/item/PFMT_2016_4_a9/

[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

[2] Yu. S. Kruk, Yu. E. Dudovskaya, “Invariantnost statsionarnogo raspredeleniya veroyatnostei sostoyanii otkrytoi seti s neaktivnymi zayavkami”, Avtomatika i telemekhanika, 2015, no. 12, 94–107

[3] J. R. Jackson, “Network of Waiting Lines”, Oper. Res., 1957, no. 4, 518–521 | DOI | MR

[4] Yu. E. Dudovskaya, Yu. S. Boyarovich, “Statsionarnoe raspredelenie veroyatnostei sostoyanii otkrytykh setei massovogo obsluzhivaniya s neaktivnymi zayavkami i mnogorezhimnymi strategiyami obsluzhivaniya”, Teoriya veroyatnostei, sluchainye protsessy, matematicheskaya statistika i prilozheniya, Materialy mezhdunar. nauch. konf., posvyasch. 80-letiyu professora, d-ra fiz.-mat. nauk G. A. Medvedeva (Minsk, 23–26 fevralya 2015 g.), RIVSh, Minsk, 2015, 33–36

[5] B. V. Gnedenko, I. N. Kovalenko, Vvedenie v teoriyu massovogo obsluzhivaniya, Nauka, M., 2005, 400 pp. | MR