A Periodically Sampled Queue with Alternate Active and Interruption Phases

Makoto YOSHIDA

A Periodically Sampled Queue with Alternate Active and Interruption Phases

Makoto YOSHIDA

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This paper presents a periodic sampling queueing model with (active) processing/interruption phases, Poisson arrivals and a generalized processing probability in accordance with the number of customers at sampling points. The generating functions of the number of customers in a system immediately following sampling points are obtained from the existing results of a generalized periodic sampling model. Using these functions, generating functions of the number of customers at arbitrary points are formulated for active processing and interruption phases. Performance measures such as average customers in a system and average waiting time are derived. Formulas for a single processor model are tailored for a specific application to a common channel signaling system shared between call signals and database information signals. Numerical examples for this system are presented as a guide for the traffic design regarding the ratios of active/interruption phaese and sampling preiod/average processing time.

Publication: IEICE TRANSACTIONS on transactions Vol.E70-E No.3 pp.185-194

Publication Date: 1987/03/25

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Type of Manuscript: PAPER

Category: Communication Theory

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Makoto YOSHIDA

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Makoto YOSHIDA, "A Periodically Sampled Queue with Alternate Active and Interruption Phases" in IEICE TRANSACTIONS on transactions, vol. E70-E, no. 3, pp. 185-194, March 1987, doi: .
Abstract: This paper presents a periodic sampling queueing model with (active) processing/interruption phases, Poisson arrivals and a generalized processing probability in accordance with the number of customers at sampling points. The generating functions of the number of customers in a system immediately following sampling points are obtained from the existing results of a generalized periodic sampling model. Using these functions, generating functions of the number of customers at arbitrary points are formulated for active processing and interruption phases. Performance measures such as average customers in a system and average waiting time are derived. Formulas for a single processor model are tailored for a specific application to a common channel signaling system shared between call signals and database information signals. Numerical examples for this system are presented as a guide for the traffic design regarding the ratios of active/interruption phaese and sampling preiod/average processing time.
URL: https://globals.ieice.org/en_transactions/transactions/10.1587/e70-e_3_185/_p

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@ARTICLE{e70-e_3_185,
author={Makoto YOSHIDA, },
journal={IEICE TRANSACTIONS on transactions},
title={A Periodically Sampled Queue with Alternate Active and Interruption Phases},
year={1987},
volume={E70-E},
number={3},
pages={185-194},
abstract={This paper presents a periodic sampling queueing model with (active) processing/interruption phases, Poisson arrivals and a generalized processing probability in accordance with the number of customers at sampling points. The generating functions of the number of customers in a system immediately following sampling points are obtained from the existing results of a generalized periodic sampling model. Using these functions, generating functions of the number of customers at arbitrary points are formulated for active processing and interruption phases. Performance measures such as average customers in a system and average waiting time are derived. Formulas for a single processor model are tailored for a specific application to a common channel signaling system shared between call signals and database information signals. Numerical examples for this system are presented as a guide for the traffic design regarding the ratios of active/interruption phaese and sampling preiod/average processing time.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - A Periodically Sampled Queue with Alternate Active and Interruption Phases
T2 - IEICE TRANSACTIONS on transactions
SP - 185
EP - 194
AU - Makoto YOSHIDA
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1987
AB - This paper presents a periodic sampling queueing model with (active) processing/interruption phases, Poisson arrivals and a generalized processing probability in accordance with the number of customers at sampling points. The generating functions of the number of customers in a system immediately following sampling points are obtained from the existing results of a generalized periodic sampling model. Using these functions, generating functions of the number of customers at arbitrary points are formulated for active processing and interruption phases. Performance measures such as average customers in a system and average waiting time are derived. Formulas for a single processor model are tailored for a specific application to a common channel signaling system shared between call signals and database information signals. Numerical examples for this system are presented as a guide for the traffic design regarding the ratios of active/interruption phaese and sampling preiod/average processing time.
ER -