Profit Analysis of Non-Identical Parallel System with Two Types of Failure Using Discrete Distribution
Abstract:
This paper has analyzed the two non-identical operative parallel systems considering two units (automatic and manual one) by using regenerative point technique. For the automatic unit, the concept of inspection policy has been introduced to detect the kind of failures (major or minor) before being repaired by some repair mechanism. But the manual unit is free from such inspection policy. Various important measures of reliability i.e MTSF, steady-state availability, a busy period of repairman and inspector, profit function has been evaluated by designing a model for the system and using discrete distribution & regenerative point techniques. Profit function and MTSF are also analyzed graphically.
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References:
Agarwal S.C, Sahani M, Bansal S (2010) “Reliability characteristic of the cold-standby redundant system”, IJRRAS , May 2010 3(2).
Bhardwaj N (2009) “Analysis of two units redundant system with imperfect switching and connection time”, International transactions in mathematical sciences and Computer, July-Dec. 2009, Vol.2, No. 2, pp. 195-202.
Bhardwaj N, Kumar A, Kumar S (2008) “Stochastic analysis of a single unit redundant system with two kinds of failure and repairs”, Reflections des. ERA-JMS, Vol. 3 Issue 1 (2008), 115-134
Gupta R, Varshney G (2007) “A two identical unit parallel system with Geometric failure and repair time distributions”, J. of a comb. Info. & System Sciences, Vol. 32, No.1-4, pp 127-136 (2007)
Haggag M.Y (2009) “Cost Analysis of a System Involving Common Cause Failures and Preventive Maintenance”, J.Math & Stat., 5(4):305-310, 2009, ISSN 1549-3644. http://dx.doi.org/10.3844/jmssp.2009.305.310
Haggag. M.Y. (2009), “Cost analysis of two-dissimilar unit cold standby system with three states and preventive maintenance using linear first order differential equations” J.Math & Stat., 5(4):395- 400, 2009, ISSN 1549-3644. http://dx.doi.org/10.3844/jmssp.2009.395.400
Mokaddis.G.S, Salah M, Sherbeny ELayid. M (2009), “Stochastic behavior of a two-unit warm standby system with two types of repairman and patience time”, Journal of mathematics and statistics 5(1):42-46, 2009ISSN 1549-364©2009 science publications. http://dx.doi.org/10.3844/jmssp.2009.42.46
Said K.M.EL, Salah M, Sherbeny EL (2005) “Profit analysis for a two-unit cold standby system with preventive maintenance and random change in Units”, Journal of mathematics and statistics 1(1):71-77, 2005, ISSN 1549-3644 (2005) http://dx.doi.org/10.3844/jmssp.2005.71.77
