Mathematics for Reliability Engineering: Modern Concepts and Applications

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Reliability is a fundamental criterium in engineering systems. This book shows innovative concepts and applications of mathematics in solving reliability problems. The contents address in particular the interaction between engineers and mathematicians, as well as the cross-fertilization in the advancement of science and technology. It bridges the gap between theory and practice to aid in practical problem-solving in various contexts.


Without mathematics no science would survive. This especially applies to the engineering sciences which highly depend on the applications of mathematics and mathematical tools such as optimization techniques, finite element methods, differential equations, fluid dynamics, mathematical modelling, and simulation. Neither optimization in engineering, nor the performance of safety-critical system and system security; nor high assurance software architecture and design would be possible without the development of mathematical applications. </pr>

De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences (AMEIS) focusses on the latest applications of engineering and information technology that are possible only with the use of mathematical methods. By identifying the gaps in knowledge of engineering applications the AMEIS series fosters the international interchange between the sciences and keeps the reader informed about the latest developments.

Author(s): Mangey Ram, Liudong Xing
Series: De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences, 8
Publisher: De Gruyter
Year: 2021

Language: English
Pages: 274
City: Berlin

Acknowledgment
Preface
Editor’s biography
Contents
1 Residual resilience assessment in infrastructure networks: a case to IEEE14 bus test system
2 Modeling of mixed cascading failures and resilience-based restoration selection
3 MIRCE Science: a mathematical scheme for predicting impacts of reliability engineering on the time evolution of physical systems
4 On the reliability structures with two common failure criteria and a single change point
5 Invulnerability and survivability modeling and analysis of cloud storage systems
6 Reliability evaluation of multistate systems with common bus performance sharing considering performance excess
7 A fast universal algorithm for finding minimal cut-sets in networks with arbitrary structure
8 Switching-algebraic symbolic analysis of the reliability of non-repairable coherent multistate systems
9 Complex system modeling method considering failure mechanism dependency
10 Innovative interconnected nonlinear hybrid dynamic modeling for time-to-event processes
11 A Bayesian design of zero-failure reliability demonstration tests for multicomponent systems
Index