Version 1
: Received: 24 January 2024 / Approved: 25 January 2024 / Online: 26 January 2024 (02:00:55 CET)
How to cite:
A Mageed, D.I. Effect of the root parameter on the stability of the Non-stationary D/M/1 queue’s GI/M/1 model with PSFFA applications to the Internet of Things (IoT). Preprints2024, 2024011835. https://doi.org/10.20944/preprints202401.1835.v1
A Mageed, D.I. Effect of the root parameter on the stability of the Non-stationary D/M/1 queue’s GI/M/1 model with PSFFA applications to the Internet of Things (IoT). Preprints 2024, 2024011835. https://doi.org/10.20944/preprints202401.1835.v1
A Mageed, D.I. Effect of the root parameter on the stability of the Non-stationary D/M/1 queue’s GI/M/1 model with PSFFA applications to the Internet of Things (IoT). Preprints2024, 2024011835. https://doi.org/10.20944/preprints202401.1835.v1
APA Style
A Mageed, D.I. (2024). Effect of the root parameter on the stability of the Non-stationary <em>D/M/1 </em> queue’s <em>GI/M/1 </em> model with PSFFA applications to the Internet of Things (IoT). Preprints. https://doi.org/10.20944/preprints202401.1835.v1
Chicago/Turabian Style
A Mageed, D.I. 2024 "Effect of the root parameter on the stability of the Non-stationary <em>D/M/1 </em> queue’s <em>GI/M/1 </em> model with PSFFA applications to the Internet of Things (IoT)" Preprints. https://doi.org/10.20944/preprints202401.1835.v1
Abstract
An exposition is undertaken to reveal the significant impact of the time-dependent root parameter, on the stability of Pointwise Stationary Fluid Flow Approximation (PSFFA) model of the non-stationary queueing system. This opens new grounds to stability analysis of non-stationary queueing systems. Potential PSFFA applications of IoT are highlighted.
Keywords
State variable; mean arrival rate; time; time dependent root parameter; PSFFA; IoT
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
