Multimode queueing network with random staying time of signals
Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 71-74.

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An open queueing network with different types of customers and multimode service strategies is considered. Every node can operate in several modes corresponding to different degrees of its working capacity. There are signals in the network, which change the number of operating mode. Staying time of signals in each node is the random value having exponential distribution. 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, signals, stationary distribution.
Mots-clés : multimode service
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O. V. Yakubovich; Y. E. Dudovskaya. Multimode queueing network with random staying time of signals. Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 71-74. http://geodesic.mathdoc.fr/item/PFMT_2016_1_a12/

[1] Yu. E. Letunovich, “Otkrytye neodnorodnye seti s mnogorezhimnymi strategiyami obsluzhivaniya i ogranicheniem na vremya prebyvaniya”, Materialy mezhdunar. nauch. konf. «Sovremennye matematicheskie metody analiza i optimizatsii informatsionno-telekommunikatsionnykh setei» (Minsk, 26–29 yanvarya 2009 g.), Massovoe obsluzhivanie: potoki, sistemy, seti, 20, eds. A. N. Dudin, BGU, Minsk, 2009, 132–137

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