Advanced Fault Diagnosis and Health Monitoring Techniques for Complex Engineering Systems

Over the last few decades, the field of fault diagnostics and structural health management has been experiencing rapid developments. The reliability, availability, and safety of engineering systems can be significantly improved by implementing multifaceted strategies of in situ diagnostics and prognostics. With the development of intelligence algorithms, smart sensors, and advanced data collection and modeling techniques, this challenging research area has been receiving ever-increasing attention in both fundamental research and engineering applications. This has been strongly supported by the extensive applications ranging from aerospace, automotive, transport, manufacturing, and processing industries to defense and infrastructure industries

LIPIcs, Volume 251, ITCS 2023, Complete Volume

LIPIcs, Volume 251, ITCS 2023, Complete Volum

On the frequency of the most frequently occurring variable in dual monotone DNFs

Let f(x1,....., xn) = VIεF^iεIxi and g(x1,.....,xn) = VIεF^iεIxi be a pair of dual monotone irredundant disjunctive normal forms, where F and G are the sets of the prime implicants of f and g, respectively. For a variable xi, i = 1,......, n, let i= #{I ε F|i ε I}/|F| and i = #{I ε G|i ε I}/|G| be the frequencies with which xi occurs in f and g. It is easily seen that maxf{u1, v1,......un,vn}>= 1/ log(|F|+|G|): We give examples of arbitrarily large F and G for which the above bound is tight up to a factor of 2.Technical report LCSR-TR-25

LIPIcs, Volume 244, ESA 2022, Complete Volume

LIPIcs, Volume 244, ESA 2022, Complete Volum