Moscow University Computational Mathematics and Cybernetics
,  volume 43 ,  issue 4 ,  pages 188-195

Queue Length in a Queuing System with Dependent Service Times

Publication type: Journal Article
Publication date: 2019-10-01
SJR: —
CiteScore: —
Impact factor: —
ISSN: 02786419, 19348428
Computational Mathematics
Control and Optimization
Human-Computer Interaction
Abstract
A single-server queuing system with infinite capacity and a recurrent input flow is considered. Service times of the customer units have an exponential distribution with random parameter. The current value of the parameter is chosen from a finite set with given probabilities at the time the service of a certain customer is completed. Sequential values of the parameters form a special kind of Markov chain. The nonstationary behavior of the queue length is studied.
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Ushakov V. G., Ushakov N. G. Queue Length in a Queuing System with Dependent Service Times // Moscow University Computational Mathematics and Cybernetics. 2019. Vol. 43. No. 4. pp. 188-195.
GOST all authors (up to 50) Copy
Ushakov V. G., Ushakov N. G. Queue Length in a Queuing System with Dependent Service Times // Moscow University Computational Mathematics and Cybernetics. 2019. Vol. 43. No. 4. pp. 188-195.
RIS |
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RIS Copy
TY - JOUR
DO - 10.3103/s0278641919040083
UR - https://doi.org/10.3103/s0278641919040083
TI - Queue Length in a Queuing System with Dependent Service Times
T2 - Moscow University Computational Mathematics and Cybernetics
AU - Ushakov, V. G.
AU - Ushakov, N. G.
PY - 2019
DA - 2019/10/01
PB - Allerton Press
SP - 188-195
IS - 4
VL - 43
SN - 0278-6419
SN - 1934-8428
ER -
BibTex |
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BibTex (up to 50 authors) Copy
@article{2019_Ushakov,
author = {V. G. Ushakov and N. G. Ushakov},
title = {Queue Length in a Queuing System with Dependent Service Times},
journal = {Moscow University Computational Mathematics and Cybernetics},
year = {2019},
volume = {43},
publisher = {Allerton Press},
month = {oct},
url = {https://doi.org/10.3103/s0278641919040083},
number = {4},
pages = {188--195},
doi = {10.3103/s0278641919040083}
}
MLA
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MLA Copy
Ushakov, V. G., et al. “Queue Length in a Queuing System with Dependent Service Times.” Moscow University Computational Mathematics and Cybernetics, vol. 43, no. 4, Oct. 2019, pp. 188-195. https://doi.org/10.3103/s0278641919040083.