Info - Geometric Analysis of the Stable G / G / 1 Queue Manifold Dynamics with G / G / 1 Queue Applications to E-Health

Abstract

Ismail A Mageed

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.

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