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Mathematical modelling of embedded systems under network failures

Author

Listed:
  • Nupur Goyal

    (Graphic Era Deemed to be University)

  • Vikas Kumar Roy

    (Roorkee Institute of Technology)

  • Mangey Ram

    (Graphic Era Deemed to be University
    Peter the Great St. Petersburg Polytechnic University)

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.

Suggested Citation

  • Nupur Goyal & Vikas Kumar Roy & Mangey Ram, 2022. "Mathematical modelling of embedded systems under network failures," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 604-614, April.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:2:d:10.1007_s13198-021-01313-6
    DOI: 10.1007/s13198-021-01313-6
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    References listed on IDEAS

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    1. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    2. Mengmeng Zhu & Hoang Pham, 2019. "A Novel System Reliability Modeling of Hardware, Software, and Interactions of Hardware and Software," Mathematics, MDPI, vol. 7(11), pages 1-14, November.
    3. Hoang Pham, 2006. "Software Reliability Modeling," Springer Series in Reliability Engineering, in: System Software Reliability, chapter 5, pages 153-177, Springer.
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