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Title: Performance Modeling of Fault-Tolerant Machining System with Working Vacation and Working Breakdown
Authors: Jain M.
Sharma R.
Meena R.K.
Published in: Arabian Journal for Science and Engineering
Abstract: 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. © 2018, King Fahd University of Petroleum & Minerals.
Citation: Arabian Journal for Science and Engineering (2019), 44(3): 2825-2836
Issue Date: 2019
Publisher: Springer Verlag
Keywords: Fault tolerant
Machine repair
Matrix method
Unreliable server
Working breakdown
Working vacation
ISSN: 2193567X
Author Scopus IDs: 7402070856
Author Affiliations: Jain, M., Department of Mathematics, IIT Roorkee, Roorkee, 247 667, India
Sharma, R., Department of Mathematics, JK Lakshmipat University, Jaipur, 302026, India
Meena, R.K., Department of Mathematics, IIT Roorkee, Roorkee, 247 667, India
Funding Details: Acknowledgements 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.
Corresponding Author: Meena, R.K.; Department of Mathematics, IIT RoorkeeIndia; email:
Appears in Collections:Journal Publications [MA]

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