Title
N-policy for a repairable redundant machining system with controlled rates.
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.
Year
DOI
Venue
2016
10.1051/ro/2015032
RAIRO-OPERATIONS RESEARCH
Keywords
Field
DocType
Markovian machine repair model,N-policy,mixed standbys,additional repairmen,interdependent rates
Mathematical optimization,Degraded mode,Crew,Markov model,Queue,Machining,Transient state,Expected value,Exponential distribution,Mathematics
Journal
Volume
Issue
ISSN
50
SP4-5
0399-0559
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Madhu Jain19825.96
Chandra Shekhar2199.71
Shalini Shukla300.34