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Analysis of Queues Fed by Lognormal Distributed Arrivals for IoT Network Traffic | IEEE Journals & Magazine | IEEE Xplore

Analysis of Queues Fed by Lognormal Distributed Arrivals for IoT Network Traffic


Abstract:

Statistical analysis of IoT network traffic establishes the presence of lognormal distributed inter-arrivals. This letter presents analysis of LN/M/1 queueing model using...Show More

Abstract:

Statistical analysis of IoT network traffic establishes the presence of lognormal distributed inter-arrivals. This letter presents analysis of LN/M/1 queueing model using approximate results of Laplace-Stieltjes transformation of lognormal distribution in terms of Lambert {{\mathcal { W}}} (.) function. The comparative performance evaluation of the LN/M/1 model with traditional M/M/1 model reveals that the quality of service metrics of LN/M/1 model mostly remain lower than M/M/1 implying that less number of buffers are required in IoT systems driven by such traffic. The asymptotic expressions for loss probability are derived using finite capacity LN/M/1/N model for different values of traffic intensity.
Published in: IEEE Networking Letters ( Volume: 5, Issue: 4, December 2023)
Page(s): 260 - 264
Date of Publication: 18 August 2023
Electronic ISSN: 2576-3156

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