Loss pattern of DBMAP/DMSP/1/ K queue and its application in wireless local communications

This paper applies a matrix-analytical approach to analyze the packet loss pattern of finite buffer single server queue with discrete-time batch Markovian arrival process (DBMAP). The service process is correlated and its structure is presented through discrete-time Markovian service process (DMSP)....

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Bibliographic Details
Published in:Applied mathematical modelling 2011-04, Vol.35 (4), p.1782-1797
Main Authors: Wang, Yung-Chung, Chou, Jen-Hsiang, Wang, Shun-Yuan
Format: Article
Language:English
Subjects:
Applied sciences
Communication systems
Discrete-time batch Markovian arrival process
Discrete-time Markovian service process
DMSP satellites
Exact sciences and technology
Loss distance
Loss period
Markov processes
Mathematical analysis
Mathematical models
Mathematics
Matrix-analytic method
Operational research and scientific management
Operational research. Management science
Performance measurement
Probability and statistics
Probability theory and stochastic processes
Queues
Queuing theory. Traffic theory
Sciences and techniques of general use
Statistics
Wireless communication
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Summary:This paper applies a matrix-analytical approach to analyze the packet loss pattern of finite buffer single server queue with discrete-time batch Markovian arrival process (DBMAP). The service process is correlated and its structure is presented through discrete-time Markovian service process (DMSP). The bursty nature of packet loss pattern will be examined by means of statistics with respect to alternating loss periods and loss distances. The loss period is the period that loss once it starts; loss distance refers to the spacing between the loss periods. All of the two related performance measurement are derived, including probability distributions of a loss period and a loss distance, average length of a loss period and a loss distance. Queueing systems of this type arise in the domain of wireless local communications. Based on the numerical analysis of such a queueing system, some performance measures for the wireless local communication are presented.
ISSN:0307-904X
DOI:10.1016/j.apm.2010.10.009