• RELIABILITY MEASURES OF A PARALLEL SYSTEM WITH REPAIR BY AN EXPERT SERVER SUBJECT TO MAXIMUM REPAIR AND INSPECTION TIMES OF ORDINARY SERVER

S. C. Malik*, Gitanjali **

Abstract


The emphasis of the present work is on the evaluation of reliability measures of a parallel system of two identical units in which repair is done by an expert server subject to maximum repair and inspection times of the ordinary server. Initially, repair of the unit is done by an ordinary server. If ordinary server is unable to do repair the unit in a given maximum time‘t’, then he inspects the unit to see the feasibility of its repair by an expert server. And, if repair of the unit is also not possible by the expert server, it is replaced by new one giving some replacement time. The ordinary server remains idle during repair by an expert server. Both servers visit the system immediately when required. The failure time of the unit and the time to which unit undergoes for inspection follow negative exponential distribution while repair and replacement times are taken as arbitrary with different probability density functions. All random variables are statistically independent. The expressions for some important performance measures of the system are derived in steady state using semi-Markov process and regenerative point technique. The graphical behavior of these measures has been observed for particular values of various parameters and costs.


Keywords


Parallel System, Maximum Repair Time, Inspection, Two Servers, Replacement and Reliability Measures.

Full Text:

pdf


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter