Iterative Methods for Overflow Queueing Models - Softcover

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9781333403874: Iterative Methods for Overflow Queueing Models

Synopsis

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.

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