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Networks of computer systems, distribution systems and telecommunications systems play an increasingly important role in our lives. This book is concerned with analyzing and assessing the reliability of such networks whose components are prone to possible failure. The field of network reliability has expanded rapidly to provide various mathematical models and computational procedures. Shier's new book identifies a number of algebraic structures that serve to unify the study of networks, and suggests new techniques and procedures for analyzing the probabilistic behavior of networks. Lattice structures, pseudopolynomial algorithms, and stochastic path problems are among the topics examined in this important account. This is a timely resource for mathematicians, computer scientists and reliability engineers.
This book investigates how algebraic structures can be utilized to unify and advance the mathematical modeling of network reliability. Douglas R. Shier, an expert in operations research and network analysis, synthesizes complex probabilistic behaviors into a cohesive framework. By applying lattice theory and advanced algorithmic procedures, the text provides a rigorous methodology for assessing systems prone to component failure.
What You Will Find
Experts in the field recognize this work as a specialized technical resource for mathematicians and reliability engineers. Readers frequently note the high level of mathematical density and the specialized focus on algebraic applications within network theory.
Page Count:
158
Publication Date:
1991-05-30
Publisher:
Clarendon Press
ISBN-10:
0198533861
ISBN-13:
9780198533863
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