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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.
Functional analysis. --- Maintainability (Engineering) -- Congresses. --- Reliability (Engineering). --- Reliability (Engineering) -- Mathematics. --- Mechanical Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Industrial & Management Engineering --- Reliability (Engineering) --- Functional calculus --- Reliability of equipment --- Systems reliability --- Mathematics. --- Operations research. --- Management science. --- Operations Research, Management Science. --- Functional Analysis. --- Calculus of variations --- Functional equations --- Integral equations --- Engineering --- Maintainability (Engineering) --- Probabilities --- Systems engineering --- Plant performance --- Safety factor in engineering --- Structural failures --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory
Choose an application
Choose an application
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.
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