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Mathematical modelling of embedded systems under network failures

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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.

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Funding is not taken for this work from any agency.

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Authors and Affiliations

  1. Department of Mathematics, Graphic Era Deemed to be University, Dehradun, India

    Nupur Goyal

  2. Department of Computer Science Engineering, Roorkee Institute of Technology, Roorkee, India

    Vikas Kumar Roy

  3. Department of Mathematics and Computer Science Engineering, Graphic Era Deemed to be University, Dehradun, India

    Mangey Ram

  4. Institute of Advanced Manufacturing Technologies , Peter the Great St. Petersburg Polytechnic University , 195251, Saint Petersburg , Russia

    Mangey Ram

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  1. Nupur Goyal
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  2. Vikas Kumar Roy
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  3. Mangey Ram
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Correspondence to Nupur Goyal.

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Goyal, N., Roy, V.K. & Ram, M. Mathematical modelling of embedded systems under network failures. Int J Syst Assur Eng Manag 13, 604–614 (2022). https://doi.org/10.1007/s13198-021-01313-6

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  • DOI: https://doi.org/10.1007/s13198-021-01313-6

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