People are often concerned with the reliability of products they use and of the
friends and associates with whom they interact daily in a myriad of ways. Although
the term “reliability” may not occur in the description of a given product
or interaction, it is often the attribute that the individual means in expression of
their concern. Schedule delays, inconvenience, customer dissatisfaction, and loss
of prestige and even weakening of national security are common examples of results
that are caused by unreliability of systems and individuals. Thus, both the
government and private industry have had to recognize the importance of understanding
and strengthening the concept of reliability.
The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even weakening of national security are common examples of results that are caused by unreliability of systems and individuals.
The book begins with an introduction to C0-semigroup theory. Then, after a brief history of reliability theory, methods that study the well-posedness, the asymptotic behaviors of solutions and reliability indices for varied reliability models are presented. Finally, further research problems are explored.
Functional Analysis Methods for Reliability Models is an excellent reference for graduate students and researchers in operations research, applied mathematics and systems engineering.