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Excerpt from Iterative Methods for Overflow Queueing Models
In section 3, we analyze the convergence rate of the method for systems with very large queue size. The convergence rate depends on the specn'um of the iterau'on matrices. We find that the eigenvalues of these matrices are clustered with only a few outlying eigenvalues.
From these results, the fast convergence of the method follows.
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Iterative Methods for Overflow Queueing Models (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book delves into the mathematical nature of queueing models, particularly those involving overflow capacity. Overflow phenomena arise in various applications, such as telecommunications and manufacturing. The author begins by reviewing classical iterative methods for linear homogeneous systems and introduces preconditioned conjugate gradient methods for solving the resulting equations in overflow queueing models. The core of the book focuses on designing preconditioners that transform singular systems into non-singular ones. These preconditioners are carefully constructed to accelerate the convergence of iterative methods. The author provides detailed analysis of the convergence rate under specific conditions. The book contributes to the theory of iterative methods for queueing models. It offers practical insights into solving large-scale queueing problems efficiently. By exploring the interplay between matrix theory and queueing theory, this book advances our understanding of overflow queueing models and their applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333403874_0
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