Some Reliability Measures of a Deteriorating System
-
2014-01-03 https://doi.org/10.14419/ijamr.v3i1.1452
-
Abstract
In this paper, we studied some reliability characteristics of a repairable 3-out-of-4 system with three modes: normal, deterioration and failure modes. The deterioration mode could be slow or fast. Failure and repair time are assumed to be exponential. We develop the explicit expressions for steady-state availability, busy period of repair man, profit function and mean time to system failure for the system using linear first order differential equations. Various cases are analyzed graphically to investigate the impact of system parameters on MTSF and profit function.
Keywords: Reliability, availability, profit, deterioration.
-
References
- R.K. Bhardwaj and S. Chander. Reliability and cost benefit analysis of 2-out-of-3 redundant system with general distribution of repair and waiting time. DIAS- Technology review- An Int. J. of business and IT. 4(1), 2007, pp 28-35.
- S. Chander and R.K.Bhardwai Reliability and economic analysis of 2-out-of-3 redundant system with priority to repair. African J. of Maths and comp. sci, 2(11), 2009, pp 230-236.
- R.K. Bhardwai and S.C. Malik. MTSF and Cost effectiveness of 2-out-of-3 cold standby system with probability of repair and inspection. Int. J. of Eng. Sci. and Tech. 2(1), 2010, pp 5882-5889.
- K. Wang, C.Hsieh and C. Liou, Cost benefit analysis of series systems with cold standby components and a repairable service station. Journal of quality technology and quantitative management, 3(1), 2006, pp 77-92.
- K.M. El-Said. Cost analysis of a system with preventive maintenance by using Kolmogorov’s forward equations method. American Journal of Applied Sciences 5(4), 2008, pp 405-410.
- M.Y.Haggag. Cost analysis of a system involving common cause failures and preventive maintenance. Journal of Mathematics and Statistics 5(4), 2009, pp 305-310.
- K.H. Wang and C.C. Kuo. Cost and probabilistic analysis of series systems with mixed standby components.Applied Mathematical Modelling, 24, 2000, pp 957-967.
- K.C. Wang, Y.C, Liou and W.L. Pearn. Cost benefits analysis of series systems with warm standby components and general repair time. , Mathematical Methods of operation Research, 61, 2005, pp 329-343.
- I. Yusuf. Availability and profit analysis of 3-out-of-4 repairable system with preventive maintenance, International Journal of Applied Mathematical Research, Vol. 1, No.4, 2012,510-519.
- H.S. Fathabadi and M. Khodaei. Reliability evaluation of network flows with stochastic capacity and cost constraint, Int. J. of Mathematics in Operational Research, Vol.4, No.4, 2012, pp 439 – 452.
-
Downloads
-
How to Cite
Yusuf, I., Hussaini, N., & Yakasai, B. M. (2014). Some Reliability Measures of a Deteriorating System. International Journal of Applied Mathematical Research, 3(1), 23-29. https://doi.org/10.14419/ijamr.v3i1.1452Received date: 2013-10-26
Accepted date: 2013-11-24
Published date: 2014-01-03