Markov Model for Fault Tolerant Machining System Operating under Admission Control Policy

Abstract

In this study, we analyze Markov model for the performance prediction of failure prone machining device that operates under the fault tolerance measures and admission control policy. The threshold-based admission policy is proposed to examine the functioning of designed fault tolerance system. The stationary queue size distribution of failed machines has been established using a recursive approach. The key output metrics and cost function have been designed to analyze the functional efficiency and cost benefit of the system. The numerical implementation of the performance indices and cost analysis have been done to examine the sensitiveness of the system descriptors. Furthermore, harmony search approach has been used to optimize the total cost associated with different activities.

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Correspondence to Rakesh Kumar Meena.

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Sethi, R., Jain, M., Meena, R.K. et al. Markov Model for Fault Tolerant Machining System Operating under Admission Control Policy. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (2021). https://doi.org/10.1007/s40010-021-00734-z

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Keywords

  • F-policy
  • Markov model
  • Fault-tolerance
  • Reboot
  • Recursive approach
  • Harmony search (HS)