PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
The Fine Thread between Stability and Randomness of the Non-stationary D/M/1 Queue’s GI/M/1 Pointwise of Stationary Fluid Flow Approximation Model with Application Ultra-Low Latency of Autonomous Driving Service
Version 1
: Received: 9 May 2024 / Approved: 10 May 2024 / Online: 10 May 2024 (11:25:55 CEST)
Version 2
: Received: 15 May 2024 / Approved: 16 May 2024 / Online: 16 May 2024 (11:55:30 CEST)
How to cite:
A Mageed, I.; Becheroul, A. The Fine Thread between Stability and Randomness of the Non-stationary D/M/1 Queue’s GI/M/1 Pointwise of Stationary Fluid Flow Approximation Model with Application Ultra-Low Latency of Autonomous Driving Service. Preprints2024, 2024050649. https://doi.org/10.20944/preprints202405.0649.v1
A Mageed, I.; Becheroul, A. The Fine Thread between Stability and Randomness of the Non-stationary D/M/1 Queue’s GI/M/1 Pointwise of Stationary Fluid Flow Approximation Model with Application Ultra-Low Latency of Autonomous Driving Service. Preprints 2024, 2024050649. https://doi.org/10.20944/preprints202405.0649.v1
A Mageed, I.; Becheroul, A. The Fine Thread between Stability and Randomness of the Non-stationary D/M/1 Queue’s GI/M/1 Pointwise of Stationary Fluid Flow Approximation Model with Application Ultra-Low Latency of Autonomous Driving Service. Preprints2024, 2024050649. https://doi.org/10.20944/preprints202405.0649.v1
APA Style
A Mageed, I., & Becheroul, A. (2024). <strong></strong>The Fine Thread between Stability and Randomness of the Non-stationary D/M/1 Queue’s GI/M/1 Pointwise of Stationary Fluid Flow Approximation Model with Application Ultra-Low Latency of Autonomous Driving Service. Preprints. https://doi.org/10.20944/preprints202405.0649.v1
Chicago/Turabian Style
A Mageed, I. and Amina Becheroul. 2024 "<strong></strong>The Fine Thread between Stability and Randomness of the Non-stationary D/M/1 Queue’s GI/M/1 Pointwise of Stationary Fluid Flow Approximation Model with Application Ultra-Low Latency of Autonomous Driving Service" Preprints. https://doi.org/10.20944/preprints202405.0649.v1
Abstract
The current work reveals the fine tuning between stability zones and randomness of GI/M/1 Pointwise Stationary Fluid Flow Approximation (PSFFA) model of the non-stationary D/M/1 queueing system. More specifically, this clearly provides more insights into developing a contemporary PSFFA theory that unifies non-stationary queueing theory with chaos theory and fields in both theoretical physics and chaotic systems. This opens new grounds for stability analysis of non-stationary queueing systems. A notable application of GI/M/1 queueing model to achieve ultra-low latency of autonomous driving service is highlighted. Concluding remarks associated with future avenues of research are given.
Keywords
State variable; mean arrival rate; time; time dependent root parameter; PSFFA; ultra-low latency; autonomous driving service
Subject
Computer Science and Mathematics, Applied Mathematics
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.
