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Elucidating the Short Term Loss Behavior of Markovian-Modulated Batch-Service Queueing Model with Discrete-Time Batch Markovian Arrival Process
Joint Authors
Hu, Cheng-Wei
Cai, Dong-Liang
Wang, Yung-Chung
Chiang, Li-Hsin
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper applies a matrix-analytical approach to analyze the temporal behavior of Markovian-modulated batch-service queue with discrete-time batch Markovian arrival process (DBMAP).
The service process is correlated and its structure is presented through discrete-time batch Markovian service process (DBMSP).
We examine the temporal behavior of packet loss by means of conditional statistics with respect to congested and noncongested periods that occur in an alternating manner.
The congested period corresponds to having more than a certain number of packets in the buffer; noncongested period corresponds to the opposite.
All of the four related performance measures are derived, including probability distributions of a congested and noncongested periods, the probability that the system stays in a congested period, the packet loss probability during congested period, and the long term packet loss probability.
Queueing systems of this type arise in the domain of wireless communications.
American Psychological Association (APA)
Wang, Yung-Chung& Cai, Dong-Liang& Chiang, Li-Hsin& Hu, Cheng-Wei. 2014. Elucidating the Short Term Loss Behavior of Markovian-Modulated Batch-Service Queueing Model with Discrete-Time Batch Markovian Arrival Process. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-500241
Modern Language Association (MLA)
Wang, Yung-Chung…[et al.]. Elucidating the Short Term Loss Behavior of Markovian-Modulated Batch-Service Queueing Model with Discrete-Time Batch Markovian Arrival Process. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-500241
American Medical Association (AMA)
Wang, Yung-Chung& Cai, Dong-Liang& Chiang, Li-Hsin& Hu, Cheng-Wei. Elucidating the Short Term Loss Behavior of Markovian-Modulated Batch-Service Queueing Model with Discrete-Time Batch Markovian Arrival Process. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-500241
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500241