Study on the Departure Process of Discrete-Time Geo/G/1 Queue with Randomized Vacations
This paper presents an analysis of the departure process of a discrete-time Geo/G/1 queue with randomized vacations. By using probability decomposition techniques and renewal process, the expression of expected number of departures during time interval (0+,n+] is derived. The relation among departur...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/738021 |
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| Summary: | This paper presents an analysis of the departure process of a discrete-time Geo/G/1 queue
with randomized vacations. By using probability decomposition techniques and renewal process, the
expression of expected number of departures during time interval (0+,n+] is derived. The relation
among departure process, server state process, and service renewal process is obtained. The relation
displays the decomposition characteristic of the departure process. Furthermore, the approximate
expansion of the expected number of departures is gained. Since the departure process also often
corresponds to an arrival process for a downstream queue in queueing network, it is hoped that the
results obtained in this paper may provide useful information for queueing network. |
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| ISSN: | 1026-0226 1607-887X |