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Logic Differential Calculus for Reliability Analysis Based on Survival Signature

Rusnak, P.; Zaitseva, E.; Coolen, F.P.A.; Kvassay, M.; Levashenko, V.

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Authors

P. Rusnak

E. Zaitseva

M. Kvassay

V. Levashenko



Abstract

The structure function is an often-used mathematical representation of the investigated system in reliability analysis. It is a binary function that models system state according to states of its components. The size of the structure function depends on the number of components and can be enormous for systems with many components. Therefore, the system reliability analysis based on the structure function needs special methods to decrease this dimension and to measure the system reliability. The concept of survival signature provides a useful transformation of the structure function to simplify reliability assessment for systems with many components of specified types. The survival signature is a complete probabilistic description of the system. The new methods and algorithms of system reliability analysis based on this mathematical representation should be developed. The Direct Partial Logic Derivative is one of approaches that are effective in system reliability evaluation based on the structure function. This approach is used to determine different aspects of system failure depending on system components breakdowns. The development of this derivative for survival signature permits to obtain the new method for the reliability analysis of system failure caused by system component breakdown depending on components types.

Citation

Rusnak, P., Zaitseva, E., Coolen, F., Kvassay, M., & Levashenko, V. (2023). Logic Differential Calculus for Reliability Analysis Based on Survival Signature. IEEE Transactions on Dependable and Secure Computing, 20(2), 1529-1540. https://doi.org/10.1109/tdsc.2022.3159126

Journal Article Type Article
Acceptance Date Feb 27, 2022
Publication Date 2023-03
Deposit Date Mar 1, 2022
Publicly Available Date Mar 28, 2024
Journal IEEE Transactions on Dependable and Secure Computing
Print ISSN 1545-5971
Electronic ISSN 1941-0018
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
Volume 20
Issue 2
Pages 1529-1540
DOI https://doi.org/10.1109/tdsc.2022.3159126
Publisher URL https://doi.org.10.1109/TDSC.2022.3159126

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© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.





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