Theory of Probability and Mathematical Statistics

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On a queueing system with sequential service

Author(s): O. K. Zakusylo; N. P. Lysak
Translated by: V. Semenov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 72 (2005).
Journal: Theor. Probability and Math. Statist. No. 72 (2006), 27-32.
MSC (2000): Primary 60K25, 60Fxx
Posted: August 10, 2006
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Abstract | References | Similar articles | Additional information

Abstract: We consider a queueing system with sequential service such that the amount of unfinished work in the system satisfies the Langevin equation. We study the total time spent by a customer in the system under busy traffic.

References:

1.: O. K. Zakusylo, Markov Processes with Semi-Deterministic Parts of Trajectories, ``Fada'', Kyiv, 2002. (Ukrainian)
2.: P. Lancaster, Theory of Matrices, Academic Press, New York-London, 1969. MR 0245579 (39:6885)
3.: R. W. Wolff, Poisson arrivals see time averages, Oper. Res. 30 (1982), 223-231. MR 0653251 (83d:60105)


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