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Title: N-policy for a repairable redundant machining system with controlled rates
Authors: Jain, Madhu
Shekhar C.
Shukla S.
Published in: RAIRO - Operations Research
Abstract: The present investigation deals with a multi-component machining system operating under N-policy. There is a provision of k type of mixed standbys units and maintenance crew consisting of permanent repairman as well as removable additional repairmen. The life time and repair time of the units are exponentially distributed with interdependent rates. The permanent repairman can start the repair only when N failed units are accumulated in the system. As soon as a unit fails, it is replaced by an available standby unit. In case when all the standby units are exhausted, the machining system starts to function in a degraded mode due to overload. Markov model is developed by constructing the governing transient state equations which are solved by using Runge-Kutta method. Various performance measures viz. queue size distribution, expected number of failed units, cost function, etc. are evaluated. By taking numerical illustration, numerical results are computed and also depicted with the help of graphs and figures. © 2016 EDP Sciences, ROADEF, SMAI.
Citation: RAIRO - Operations Research (2016), 50(43926): 891-907
Issue Date: 2016
Publisher: EDP Sciences
Keywords: Additional repairmen
Interdependent rates
Markovian machine repair model
Mixed standbys
ISSN: 3990559
Author Scopus IDs: 7402070856
Author Affiliations: Jain, M., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India
Shekhar, C., Department of Mathematics, Birla Institute of Technology and Science, Pilani, Rajasthan, 333031, India
Shukla, S., Department of Mathematics, D.A.V. (PG) College, Dehra Dun, Uttarakhand, 248001, India
Appears in Collections:Journal Publications [MA]

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