Version 1
: Received: 24 January 2024 / Approved: 25 January 2024 / Online: 25 January 2024 (10:46:16 CET)
How to cite:
A Mageed, D.I. Info- Geometric Analysis of the Stable Queue Manifold Dynamics With Queue Applications to E-health. Preprints2024, 2024011813. https://doi.org/10.20944/preprints202401.1813.v1
A Mageed, D.I. Info- Geometric Analysis of the Stable Queue Manifold Dynamics With Queue Applications to E-health. Preprints 2024, 2024011813. https://doi.org/10.20944/preprints202401.1813.v1
A Mageed, D.I. Info- Geometric Analysis of the Stable Queue Manifold Dynamics With Queue Applications to E-health. Preprints2024, 2024011813. https://doi.org/10.20944/preprints202401.1813.v1
APA Style
A Mageed, D.I. (2024). Info- Geometric Analysis of the Stable Queue Manifold Dynamics With Queue Applications to E-health. Preprints. https://doi.org/10.20944/preprints202401.1813.v1
Chicago/Turabian Style
A Mageed, D.I. 2024 "Info- Geometric Analysis of the Stable Queue Manifold Dynamics With Queue Applications to E-health" Preprints. https://doi.org/10.20944/preprints202401.1813.v1
Abstract
Information geometry is a mathematical framework that analyses the structure of statistical models using concepts from differential geometry. It treats families of probability distributions as manifolds, where the parameters of each model determine the coordinate charts. By applying info-geometric tools, we can gain insights into the characteristics of these models. The approach involves characterizing the queueing system's manifold using information geometry and presenting the exponential of the information matrix. This integration of information geometry with queueing theory provides a novel perspective for analyzing the dynamics of queueing systems, incorporating relativistic and Riemannian concepts. Some applications to E-health are highlighted. Finally, closing remarks and the next phase of research.
Keywords
Stable queue; Service times(ST); service utilization (SU); Fisher information matrix(FIM); FIM exponential matrix of the queue manifold
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.
