A discrete-time Markov-modulated queuing system with batched arrivals

This paper examines a discrete-time queuing system with applications to telecommunications traffic. The arrival process is a particular Markov-modulated process which belongs to the class of discrete batched Markovian arrival processes. The server process is a single server deterministic queue. A cl...

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Bibliographic Details
Published inPerformance evaluation Vol. 67; no. 5; pp. 376 - 385
Main Author Clegg, Richard G.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2010
Subjects
Arrivals
D-BMAP/D/1 system
Delay
Exact solutions
Markov chain
Markov-modulated process
Mathematical analysis
Performance evaluation
Queues
Queuing theory
Servers
Telecommunications
Markov chain
Queuing theory
D-BMAP/D/1 system
Markov-modulated process
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Summary:This paper examines a discrete-time queuing system with applications to telecommunications traffic. The arrival process is a particular Markov-modulated process which belongs to the class of discrete batched Markovian arrival processes. The server process is a single server deterministic queue. A closed form exact solution is given for the expected queue length and delay. A simple system of equations is given for the probability of the queue exceeding a given length.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0166-5316
1872-745X
DOI:10.1016/j.peva.2009.11.001