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The present investigation deals with a machine repair problem consisting of cold and warm standby machines.
To study the machine repair problem (MRP), we develop Markov machining system with vacation.
The N-policy model for a machine repair problem was described by Jain and Bhargava (2009).
For the performance modeling and queueing analysis of the concerned machine repair problem, the investigation done is organized as follows.
Jain (1997) developed a (m, M) machine repair problem model with state-dependent rates and standby support.
Ke and Wang (2007) suggested the vacation policies for machine repair problem with two types of spares.
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To overcome these problems, many queue theorists have paid attention towards the machine repair problems in different contexts.
Jain et al. (2010) also published a survey article on various aspects of machine repair problems by emphasizing the practical importance of Markov queueing models.
Markovian machine repair problems with additional repairman were investigated by Huang et al. (2011) and Liou et al. (2013) by including threshold control policies.
In literature, some research works can be found on the reliability analysis of the machine repair problems with imperfect fault coverage.
By including the F-policy Kumar and Jain (2013a) developed a queueing model for the performance prediction of the machine repair problems with standbys.
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Justyna Jupowicz-Kozak
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