PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
Crossroads between Stability and Randomness of the Non-stationaryQueue’s Pointwise Stationary Fluid Flow Approximation modelCrossroads between Stability and Randomness of the Non-stationary Queue’s Pointwise Stationary Fluid Flow Approximation
Version 1
: Received: 8 May 2024 / Approved: 9 May 2024 / Online: 9 May 2024 (10:44:29 CEST)
How to cite:
A Mageed, I.; Becheroul, A. Crossroads between Stability and Randomness of the Non-stationaryQueue’s Pointwise Stationary Fluid Flow Approximation modelCrossroads between Stability and Randomness of the Non-stationary Queue’s Pointwise Stationary Fluid Flow Approximation. Preprints2024, 2024050544. https://doi.org/10.20944/preprints202405.0544.v1
A Mageed, I.; Becheroul, A. Crossroads between Stability and Randomness of the Non-stationaryQueue’s Pointwise Stationary Fluid Flow Approximation modelCrossroads between Stability and Randomness of the Non-stationary Queue’s Pointwise Stationary Fluid Flow Approximation. Preprints 2024, 2024050544. https://doi.org/10.20944/preprints202405.0544.v1
A Mageed, I.; Becheroul, A. Crossroads between Stability and Randomness of the Non-stationaryQueue’s Pointwise Stationary Fluid Flow Approximation modelCrossroads between Stability and Randomness of the Non-stationary Queue’s Pointwise Stationary Fluid Flow Approximation. Preprints2024, 2024050544. https://doi.org/10.20944/preprints202405.0544.v1
APA Style
A Mageed, I., & Becheroul, A. (2024). Crossroads between Stability and Randomness of the Non-stationaryQueue’s Pointwise Stationary Fluid Flow Approximation modelCrossroads between Stability and Randomness of the Non-stationary Queue’s Pointwise Stationary Fluid Flow Approximation. Preprints. https://doi.org/10.20944/preprints202405.0544.v1
Chicago/Turabian Style
A Mageed, I. and Amina Becheroul. 2024 "Crossroads between Stability and Randomness of the Non-stationaryQueue’s Pointwise Stationary Fluid Flow Approximation modelCrossroads between Stability and Randomness of the Non-stationary Queue’s Pointwise Stationary Fluid Flow Approximation" Preprints. https://doi.org/10.20944/preprints202405.0544.v1
Abstract
The current work reveals the fine tuning between stability zones and randomness of Pointwise Stationary Fluid Flow Approximation (PSFFA) model of the non-stationary queueing D/M/1 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.
Keywords
State variable; mean arrival rate; time; time dependent root parameter; PSFFA,
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.
