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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 339–349
DOI: https://doi.org/10.4213/mzm2819 (Mi mzm2819) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Small work-load mode in a queueing system with random nonstationary intensity

E. E. Bashtova

M. V. Lomonosov Moscow State University
Full-text PDF (429 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm2819
Abstract: We consider a queueing system of $M_tR|GI|1|\infty$ type with doubly stochastic Poisson arrival stream. The case of a small work load in such a system is studied. We derive an asymptotic expansion in the work-load smallness parameter of the distribution function of the virtual waiting time.
Keywords: single-server queueing system, doubly stochastic Poisson arrival stream, virtual waiting time, periodic random process.
Received: 03.08.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 329–338
DOI: https://doi.org/10.1007/s11006-006-0144-1
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: E. E. Bashtova, “Small work-load mode in a queueing system with random nonstationary intensity”, Mat. Zametki, 80:3 (2006), 339–349; Math. Notes, 80:3 (2006), 329–338
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Математические заметки Mathematical Notes
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