REA Press 20 REA Press3042-01993042-0199 REA Press https://doi.org/10.22105/opt.v1i2.60 Research Article Transient M/M/queueuing system 1, Information geometry, Statistical manifold, Queue manifold, Information geodesic equations of motion, Fisher information matrix, Inverse fisher information matrix, Machine learning Parthasarathian Transient Solution of M/M/1 Queue Manifold: Info-Geometric Analysis and Applications to Machine LearningParthasarathian Transient Solution of M/M/1 Queue Manifold: Info-Geometric Analysis and Applications to Machine Learning A Mageed Ismail AIMMA, IEEE, IAENG, School of Computer Science, AI, and Electronics, Faculty of engineering and Digital, Technologies, ‎University of Bradford, United Kingdom. 10 2024 04 10 2024 1 2 © 2024 REA Press 2024

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 Parthasarathian Transient Solution of M/M/1 Queue Manifold: Info-Geometric Analysis and Applications to Machine Learning

By constructing the Fisher Information Matrix (FIM) and its inverse (IFIM), the current study provides an info-geometric characterization of the transient M/M/1 queue manifold. Furthermore, stability's effect on IFIM's existence and its investigation of the Geodesic Equations (GEs) of motion have been made clear. Potentially even more, the article highlights several info-geometric machine learning applications. This in essence would manifest the huge contributions provided by this paper, which would in turn open new plethora of unlimited opportunities to the exploration of new trends in machine learning. In closing, some difficult open problems are discussed along with the next stage of the research.

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