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    Towards time domain invariant QoS measures for queues with correlated traffic

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    Publication date
    2015-02
    Author
    Li, W.
    Kouvatsos, Demetres D.
    Fretwell, Rod J.
    Keyword
    Traffic correlation
    ; Batch renewal arrival process
    ; Continuous time domain
    ; Queueing
    ; Discrete time domain
    ; Quality-of-service measures
    ; Arrival processes
    ; Voice
    Peer-Reviewed
    Yes
    
    Metadata
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    Abstract
    An investigation is carried out on the nature of QoS measures for queues with correlated traffic in both discrete and continuous time domains. The study focuses on the single server GI(G)/M-[x]/1/N and GI(G)/Geo([x])/1/N queues with finite capacity, N, a general batch renewal arrival process (BRAP), GI(G) and either batch Poisson, M-[x] or batch geometric, Geo([x]) service times with general batch sizes, X. Closed form expressions for QoS measures, such as queue length and waiting time distributions and blocking probabilities are stochastically derived and showed to be, essentially, time domain invariant. Moreover, the sGGeo(sGGo)/Geo/l/N queue with a shifted generalised geometric (sGGeo) distribution is employed to assess the adverse impact of varying degrees of traffic correlations upon basic QoS measures and consequently, illustrative numerical results are presented. Finally, the global balance queue length distribution of the M-Geo/M-Geo/1/N queue is devised and reinterpreted in terms of information theoretic principle of entropy maximisation. (C) 2014 Elsevier Inc. All rights reserved.
    URI
    http://hdl.handle.net/10454/9178
    Version
    No full-text in the repository
    Citation
    Li W, Kouvatsos DD and Fretwell RJ (2015) Towards time domain invariant QoS measures for queues with correlated traffic. Journal of Computer and System Sciences. 81(1): 132-144.
    Link to publisher’s version
    http://dx.doi.org/10.1016/j.jcss.2014.06.019
    Type
    Article
    Collections
    Engineering and Informatics Publications

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