On a queueing system with sequential service
Authors:
O. K. Zakusylo and N. P. Lysak
Translated by:
V. Semenov
Journal:
Theor. Probability and Math. Statist. 72 (2006), 27-32
MSC (2000):
Primary 60K25, 60Fxx
DOI:
https://doi.org/10.1090/S0094-9000-06-00661-2
Published electronically:
August 10, 2006
MathSciNet review:
2168133
Full-text PDF Free Access
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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
- O. K. Zakusylo, Markov Processes with Semi-Deterministic Parts of Trajectories, “Fada”, Kyiv, 2002. (Ukrainian)
- Peter Lancaster, Theory of matrices, Academic Press, New York-London, 1969. MR 0245579
- Ronald W. Wolff, Poisson arrivals see time averages, Oper. Res. 30 (1982), no. 2, 223–231. MR 653251, DOI https://doi.org/10.1287/opre.30.2.223
References
- O. K. Zakusylo, Markov Processes with Semi-Deterministic Parts of Trajectories, “Fada”, Kyiv, 2002. (Ukrainian)
- P. Lancaster, Theory of Matrices, Academic Press, New York–London, 1969. MR 0245579 (39:6885)
- R. W. Wolff, Poisson arrivals see time averages, Oper. Res. 30 (1982), 223–231. MR 0653251 (83d:60105)
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Additional Information
O. K. Zakusylo
Affiliation:
Department of Operation Research, Faculty for Cybernetics, Kyiv National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email:
do@unicyb.kiev.ua
N. P. Lysak
Affiliation:
Department of Operation Research, Faculty for Cybernetics, Kyiv National Taras Shevchenko University, Academician Glushkov Avenue 6, Kyiv 03127, Ukraine
Email:
lysak@unicyb.kiev.ua
Keywords:
Queueing systems,
busy traffic,
Langevin equation
Received by editor(s):
April 28, 2004
Published electronically:
August 10, 2006
Article copyright:
© Copyright 2006
American Mathematical Society
