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Control problem of a deterministic queuing system. / Karelin, Vladimir V.; Bure, Vladimir M.; Polyakova, Ludmila N.; Elfimov, Anton N.

In: Applied Mathematical Sciences, Vol. 10, No. 21, 2016, p. 1023-1030.

Research output: Contribution to journal › Article › peer-review

Harvard

Karelin, VV, Bure, VM, Polyakova, LN & Elfimov, AN 2016, 'Control problem of a deterministic queuing system', Applied Mathematical Sciences, vol. 10, no. 21, pp. 1023-1030. https://doi.org/10.12988/ams.2016.6133

APA

Karelin, V. V., Bure, V. M., Polyakova, L. N., & Elfimov, A. N. (2016). Control problem of a deterministic queuing system. Applied Mathematical Sciences, 10(21), 1023-1030. https://doi.org/10.12988/ams.2016.6133

Vancouver

Karelin VV, Bure VM, Polyakova LN, Elfimov AN. Control problem of a deterministic queuing system. Applied Mathematical Sciences. 2016;10(21):1023-1030. https://doi.org/10.12988/ams.2016.6133

Author

Karelin, Vladimir V. ; Bure, Vladimir M. ; Polyakova, Ludmila N. ; Elfimov, Anton N. / Control problem of a deterministic queuing system. In: Applied Mathematical Sciences. 2016 ; Vol. 10, No. 21. pp. 1023-1030.

BibTeX

@article{1a5295dd90de42e1991de4684cd51797,
title = "Control problem of a deterministic queuing system",
abstract = "In the paper the concept of the cycle of operation of a deterministic queuing system and the concept of the steady-state operation of the system is introduced. Deterministic queueing systems with two and three queues and one servicing device are considered. The server serves only one requirement at each given time. A problem of optimal timing of switching from one device queue to another is studied. Necessary and sufficient conditions for stationarity of functioning of a service system are obtained. Discussed problems close to the well known problem of controlling of a traffic light in an isolated intersection.",
keywords = "Deterministic Queuing System, Service Cycle, Stationary Regime",
author = "Karelin, {Vladimir V.} and Bure, {Vladimir M.} and Polyakova, {Ludmila N.} and Elfimov, {Anton N.}",
year = "2016",
doi = "10.12988/ams.2016.6133",
language = "English",
volume = "10",
pages = "1023--1030",
journal = "Applied Mathematical Sciences",
issn = "1312-885X",
publisher = "Hikari Ltd.",
number = "21",

}

RIS

TY - JOUR

T1 - Control problem of a deterministic queuing system

AU - Karelin, Vladimir V.

AU - Bure, Vladimir M.

AU - Polyakova, Ludmila N.

AU - Elfimov, Anton N.

PY - 2016

Y1 - 2016

N2 - In the paper the concept of the cycle of operation of a deterministic queuing system and the concept of the steady-state operation of the system is introduced. Deterministic queueing systems with two and three queues and one servicing device are considered. The server serves only one requirement at each given time. A problem of optimal timing of switching from one device queue to another is studied. Necessary and sufficient conditions for stationarity of functioning of a service system are obtained. Discussed problems close to the well known problem of controlling of a traffic light in an isolated intersection.

AB - In the paper the concept of the cycle of operation of a deterministic queuing system and the concept of the steady-state operation of the system is introduced. Deterministic queueing systems with two and three queues and one servicing device are considered. The server serves only one requirement at each given time. A problem of optimal timing of switching from one device queue to another is studied. Necessary and sufficient conditions for stationarity of functioning of a service system are obtained. Discussed problems close to the well known problem of controlling of a traffic light in an isolated intersection.

KW - Deterministic Queuing System

KW - Service Cycle

KW - Stationary Regime

U2 - 10.12988/ams.2016.6133

DO - 10.12988/ams.2016.6133

M3 - Article

VL - 10

SP - 1023

EP - 1030

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 21

ER -

ID: 7564143