Transient Analysis of M/M/R Machine Repair Model with Mixed Spares and additional repairmen

Author(s)	Dr. Rekha Kumari
Country	India
Abstract	In this paper markov model is considered for the analysis of machine repair problem consisting of M operating machines under the care of two types of repairmen and mixed spares. There is provision of Y cold standbys and S warm standbys to replace the failed units. When all spares are used, the failure of units occurs in degraded mode. To cope up with the increased load of failed units, there is facility of additional repairmen. The purpose of our study is to establish various performance measures in terms of transient probabilities. The expressions for the system reliability, availability and mean time to system failure are facilitated in terms of transient probabilities. Computation scheme based on matrix technique is facilitated to obtain the numerical results, which are displayed graphically and in tabular form.
Keywords	Transient analysis, Threshold policy, Machine repair, Mixed spares, queue size, Additional repairmen, Matrix technique.
Field	Mathematics
Published In	Volume 3, Issue 5, September-October 2021
Published On	2021-10-20

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