IEICE TRANSACTIONS on Communications
Waiting-Time Distribution for a Finite-Capacity Single-Server Queue with Constant Service and Vacation Times
Summary :
We consider a finite-capacity single-server queue with constant service and vacation times, which is seen in the time division multiple access (TDMA) scheme. First we derive the probability that j customers remain in the queue when a test customer arrives. Using this probability we then evaluate the probability that the test customer who arrives during the vacation or service time has to wait in the queue for longer than a given time. From these results, we obtain the waiting time distribution for the customer arriving at an arbitrary time. We also show a practical application to wireless TDMA communications systems.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E81-B No.11 pp.2141-2146
- Publication Date
- 1998/11/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Category
- Communication Theory
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Yoshiaki SHIKATA, Yoshitaka TAKAHASHI, "Waiting-Time Distribution for a Finite-Capacity Single-Server Queue with Constant Service and Vacation Times" in IEICE TRANSACTIONS on Communications,
vol. E81-B, no. 11, pp. 2141-2146, November 1998, doi: .
Abstract: We consider a finite-capacity single-server queue with constant service and vacation times, which is seen in the time division multiple access (TDMA) scheme. First we derive the probability that j customers remain in the queue when a test customer arrives. Using this probability we then evaluate the probability that the test customer who arrives during the vacation or service time has to wait in the queue for longer than a given time. From these results, we obtain the waiting time distribution for the customer arriving at an arbitrary time. We also show a practical application to wireless TDMA communications systems.
URL: https://global.ieice.org/en_transactions/communications/10.1587/e81-b_11_2141/_p
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@ARTICLE{e81-b_11_2141,
author={Yoshiaki SHIKATA, Yoshitaka TAKAHASHI, },
journal={IEICE TRANSACTIONS on Communications},
title={Waiting-Time Distribution for a Finite-Capacity Single-Server Queue with Constant Service and Vacation Times},
year={1998},
volume={E81-B},
number={11},
pages={2141-2146},
abstract={We consider a finite-capacity single-server queue with constant service and vacation times, which is seen in the time division multiple access (TDMA) scheme. First we derive the probability that j customers remain in the queue when a test customer arrives. Using this probability we then evaluate the probability that the test customer who arrives during the vacation or service time has to wait in the queue for longer than a given time. From these results, we obtain the waiting time distribution for the customer arriving at an arbitrary time. We also show a practical application to wireless TDMA communications systems.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Waiting-Time Distribution for a Finite-Capacity Single-Server Queue with Constant Service and Vacation Times
T2 - IEICE TRANSACTIONS on Communications
SP - 2141
EP - 2146
AU - Yoshiaki SHIKATA
AU - Yoshitaka TAKAHASHI
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E81-B
IS - 11
JA - IEICE TRANSACTIONS on Communications
Y1 - November 1998
AB - We consider a finite-capacity single-server queue with constant service and vacation times, which is seen in the time division multiple access (TDMA) scheme. First we derive the probability that j customers remain in the queue when a test customer arrives. Using this probability we then evaluate the probability that the test customer who arrives during the vacation or service time has to wait in the queue for longer than a given time. From these results, we obtain the waiting time distribution for the customer arriving at an arbitrary time. We also show a practical application to wireless TDMA communications systems.
ER -
English
