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Mathematical modelling of embedded systems under network failures

Nupur Goyal (), Vikas Kumar Roy () and Mangey Ram ()
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Nupur Goyal: Graphic Era Deemed to be University
Vikas Kumar Roy: Roorkee Institute of Technology
Mangey Ram: Graphic Era Deemed to be University

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 2, No 5, 604-614

Abstract: Abstract In today's era, the embedded system plays a very keen role in every field. However, the possibilities of errors occur in that system is so common, due to which the degradation of the system takes place or the system gets crash. The various types of errors that can be occurred in the embedded system are deliberated in its mathematical modelling. The interaction of the software with each system’s component and interaction of system software to application software are also considered. In this study, Markov process, Laplace Transformation and supplementary variable technique have been used to analyse the reliability measures of embedded system with its sensitivity and also discussed the effects of various failure rates on system performance. At last, a numerical example has been take to illustrate the results and their graphical representation are also given.

Keywords: Embedded system; Reliability; Network modeling; Catastrophic failure; Failure’s effect; Human failure (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13198-021-01313-6

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International Journal of System Assurance Engineering and Management is currently edited by P.K. Kapur, A.K. Verma and U. Kumar

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