Study of Dynamic Solutions for Human–Machine System with Human Error and Common-Cause Failure

Juan Zhao and Ehmet Kasim ()
Additional contact information
Juan Zhao: College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China
Ehmet Kasim: College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China

Mathematics, 2023, vol. 11, issue 12, 1-29

Abstract: This work investigates a dynamic solution of human–machine systems with human error and common-cause failure. By means of functional analysis, it is proved that the semigroup generated by the underlying operator converges exponentially to a projection operator by analyzing the spectral property of the underlying operator, and the asymptotic expressions of the system’s time-dependent solutions are presented. We also provide numerical examples to illustrate the effects of different parameters on the system and the theoretical analysis’s validity.

Keywords: human–machine systems; human error; common-cause failure; dynamic solution; spectral properties; asymptotic expressions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/12/2771/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/12/2771/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:12:p:2771-:d:1174704

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().