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TRANSIENT ANALYSIS OF MACHINING SYSTEM WITH SPARE PROVISIONING AND GEOMETRIC
RENEGING
Chandra Shekhar
1, Madhu Jain
2, Ather Aziz Raina
31
Department of Mathematics, Birla Institute of Technology and Science, Pilani Campus, Pilani, Rajasthan (India)
2
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand (India)
3
Department of Mathematical Sciences, BGSB University, Rajouri, J and K (India)
ABSTRACT
In this investigation, we deal with machine repair problem having multi identical primary units and warm standby units under care of an unreliable repairman who follows threshold-based policies in service and being repaired. Waiting failed units may renege and decide sequentially whether to leave the queue or not from service station. Besides various performance characteristics viz expected number of failed units in the system, throughput of the system etc, we compute some reliability measures also like reliability of the system, MTTF, failure frequency etc. Cost function is also made to assist system analyst to work with various deciding parameter for optimal policies. Sensitivity and performance analysis are also presented in this paper in the form of graphs and tables.
