Arabian Journal for Science and Engineering

, Volume 44, Issue 3, pp 2825–2836 | Cite as

Performance Modeling of Fault-Tolerant Machining System with Working Vacation and Working Breakdown

  • Madhu Jain
  • Richa Sharma
  • Rakesh Kumar MeenaEmail author
Research Article - Systems Engineering


This study deals with the performance modeling of finite Markov M/M/1/L/WV model for the fault-tolerant machining system (FTMS). The concepts of redundancy along with the provision of dissimilar warm standbys are taken into account in order to maintain the pre-required high reliability of the system. The repairman is allowed to take a vacation in case of no workload of broken down machines. The failed machines are also repaired with slower rate by the repairman during working vacation period. The analytical method, namely matrix method, is implemented for evaluating the transient queue size distribution and closed form expressions of the performance metrics of multi-component FTMS. Moreover, cost function is constructed, which can be further used to control the system cost and other factors. Numerical simulation is also carried out to exhibit the effect of parameters on various system indices.


Fault tolerant Machine repair Working vacation Working breakdown Unreliable server Reliability Matrix method 


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The author (Rakesh Kumar Meena, Enrollment Number 12922036) is thankful to Ministry of Human Resource Development (Grant No. MHR-02-23-200-429) for providing grant in the form of Senior Research Fellowship (SRF) to carry out the research work.


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.Department of MathematicsIIT RoorkeeRoorkeeIndia
  2. 2.Department of MathematicsJK Lakshmipat UniversityJaipurIndia

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