PROFIT ANALYSIS OF A COMPLEX SYSTEM WITH CORRELATION IN TIME TO PREVENTIVE MAINTENANCE AND TIME TAKEN IN PREVENTIVE MAINTENANCE
Keywords:
Mean sojourn time, Reliability, Availability, Busy period, Profit function.Abstract
This paper deals with the cost benefit analysis of a complex system with correlation in time to preventive maintenance and time taken in preventive maintenance. The system consists of two subsystems, say A & B, connected in series. Subsystem A consists of two identical units while subsystem B consist only one unit. The operation of only one unit of subsystem A with subsystem B is sufficient to do the job. The joint distribution of time to preventive maintenance and time taken in preventive maintenance are taken bivariate exponential. Each repaired unit works as good as new. Various measures of system effectiveness of interest to system designers and operation managers are obtained by using regenerative point technique. The graphical behaviors of MTSF and profit function have also been studied.
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References
Goel, L.R. and Mumtaz, S.Z. (1994). Stochastic analysis of a complex system with
an auxiliary unit. Communication in Statistics, 23(10), p. 383-386.
Gupta, R., Bansal S. and Goel, L.R. (1990). Profit function analysis of a system
with mixture of warm and cold standby, Int. J. of Systems Science, Vol. 21, No. 8,
p. 1577-1587.
Gupta, P.P. and Kumar, Anil. (1981). Operational availability of a complex system
with two types of failure under different repair preemptions, IEEE Trans. Reliab.
Vol R-30, No.5, p. 384-385.
Gupta, R., Kumar P. and Sharma, V. (2006). Cost benefit analysis of a three unit
complex system with correlated failures and repairs, RdE J. of Mathematical
Sciences. Vol.1, Issue 3, p. 213-226.
Mahmoud, M.A.W and Moshref, M.E. (2010). On a two-unit cold standby system
considering hardware, human error failures and preventive maintenance”,
Mathematical and Computer Modelling, Vol. 51, p. 736-745.
Mogha, A.K., Gupta R. and Gupta, A.K. (2003). A two-unit parallel system with
correlated lifetimes and repair machine failure, IAPQR, Vol. 28, No. 1, p. 1-22.
Papageorgiou, E and Kokolakis, G. (2010). Reliability analysis of a two-unit
general parallel system with (n-2) warm standbys, European Journal of Operational
Research, 201(3), p.821-827.
Yadavalli, V.S.S. (2001). Stochastic model of complex system consisting of
generators, each with main and auxiliary switch boards, IJOMAS, 17(3), p. 231–