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The Infinite-Phased Root Parameter for the G1/M/1 Pointwise Stable Fluid Flow Approximation (PSFFA) Model of the Non-Stationary Ek/M/1 Queue with PSFFA Applications to Hospitals’ Emergency Departments
Version 1
: Received: 18 February 2024 / Approved: 19 February 2024 / Online: 19 February 2024 (07:37:13 CET)
How to cite:
A Mageed, D.I. The Infinite-Phased Root Parameter for the G1/M/1 Pointwise Stable Fluid Flow Approximation (PSFFA) Model of the Non-Stationary Ek/M/1 Queue with PSFFA Applications to Hospitals’ Emergency Departments. Preprints2024, 2024021021. https://doi.org/10.20944/preprints202402.1021.v1
A Mageed, D.I. The Infinite-Phased Root Parameter for the G1/M/1 Pointwise Stable Fluid Flow Approximation (PSFFA) Model of the Non-Stationary Ek/M/1 Queue with PSFFA Applications to Hospitals’ Emergency Departments. Preprints 2024, 2024021021. https://doi.org/10.20944/preprints202402.1021.v1
A Mageed, D.I. The Infinite-Phased Root Parameter for the G1/M/1 Pointwise Stable Fluid Flow Approximation (PSFFA) Model of the Non-Stationary Ek/M/1 Queue with PSFFA Applications to Hospitals’ Emergency Departments. Preprints2024, 2024021021. https://doi.org/10.20944/preprints202402.1021.v1
APA Style
A Mageed, D.I. (2024). The Infinite-Phased Root Parameter for the <em>G1/M/1</em> Pointwise Stable Fluid Flow Approximation (PSFFA) Model of the Non-Stationary <em>E<sub>k</sub>/M/1</em> Queue with PSFFA Applications to Hospitals’ Emergency Departments. Preprints. https://doi.org/10.20944/preprints202402.1021.v1
Chicago/Turabian Style
A Mageed, D.I. 2024 "The Infinite-Phased Root Parameter for the <em>G1/M/1</em> Pointwise Stable Fluid Flow Approximation (PSFFA) Model of the Non-Stationary <em>E<sub>k</sub>/M/1</em> Queue with PSFFA Applications to Hospitals’ Emergency Departments" Preprints. https://doi.org/10.20944/preprints202402.1021.v1
Abstract
This paper provides a new discovery that adds to the contemporary theory of modelling of non-stationary queues, by capturing analytically the behavior of the root parameter, for the G1/M/1 PSFFA model of non-stationary Ek/M/1 queue. Additionally, it has been also revealed that the resulting root parameter reduces to the PSFFA model of non-stationary queue. Potential applications of PSFFA to Computer engineering are provided. Some challenging open problems are addressed combined with closing remarks and future research directions.
Keywords
Hospital emergency departments; Non-stationary queue; PSFFA; state variable; k number of phases
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.
