Author(s):
Rakesh Gupta, Pradeep Kumar Sharma, Shivakar
Email(s):
Email ID Not Available
Address:
Department of Statistics, Chaudhary Charan Singh University, Meerut - 250004, India
Department of Applled Science, Vidya College of Engineering, Baghpat Road, Meerut -250005, India
Department of Management, Dr. K.N. Modi Institute of Engineering & Technology, Modinagar - 201204, India
Published In:
Volume - 26,
Issue - 1,
Year - 2013
Cite this article:
Gupta, Pradeep, Sharma and Shivakar (2013). A Two Unit Active Redundant System with Two Physical Conditions of Repairman and Correlated Life Times. Journal of Ravishankar University (Part-B: Science), 26(1), pp. 40-51.
Journal of Ravishankar University-8, 26(1), 40-51
(2013)
A Two Unit Active
Redundant System with Two
Physical Conditions of Repairman
and Correlated Life Times
Rakesh Gupta11 Pradeep Kumar Sharma2 and Shivakar3
1Department
of Statistics, Chaudhary Charan
Singh University, Meerut
- 250004, India
2Department of Applled Science,
Vidya College of Engineering, Baghpat
Road, Meerut -250005, India
3Department of Management, Dr. K.N. Modi Institute of Engineering & Technology, Modinagar
- 201204, India
Abstract: The paper deals with a stochastic model of
a two non-identical unit active redundant system. Each unit has two modes - normal
(N) and failed (F).
A single repairman is always
available with the system to repair a failed unit. The physical condition of repairman
may be found good or poor, when needed, with fixed known probabilities p and q (1
-p), respectively. The distribut1on of time to repair each unit in both the physical
conditions of repairman are taken exponential with different parameters. Failure
times of both the units are assumed to be correlated random variables with their
joint distributions as bivariate exponential. Each repaired unit works as good
as new. Various measures of system
effectiveness of interest to system designers and operations managers are obtained
by using supplementary variable technique.
Keywords: Reliability,
Availability, MTSF, Expected Busy Period, Expected up time
Corresponding Author: prgheadstats@yahoo.in
NOTE: Full version
of this manuscript is available in PDF.