Keywords:-

Keywords: mean sojourn times, mtsf, availability, busy period.

Article Content:-

Abstract

Reliability for functioning units is essential, be it on the parts of memory chips of computers, software or hardware or it can be on the part of heavy machinery in any industrial system. Reliability analysis can give excellent results to improve the maintainability and portability of management design for existing and future product. Extensive reviews of two-component repairable system models have been presented by Lie et al(1977) and Yearout et al. (1986). In all these models, it is assumed that failure times and repair times of the components are independent. In this paper, Reliability analysis of a system having one main unit and two supporting units is proposed, assuming that the system fails whenever the main unit fails and system shuts down whenever either both the supporting
units fail or main unit and one of the supporting units fail. To improve the reliability of the system, concept of preventive maintenance is also added. Using regenerative point technique various system parameters such as Transition Probabilities, Mean sojourn times, Mean time to system failure, Availability, Busy period of repairman in repairing the failed units etc. are calculated. At last profit analysis is also done. In this paper, failure time distributions are taken to be negative exponential whereas the repair time distributions are arbitrary.

References:-

References

Chander S. & Bhardwaj R.K.( 2009). “Reliability and economic amalysis of 2-out of-3 redundant system with

priority to repair.” African Journal of Mathematics and Computer Science Research, vol 2(11), pp 230-236.

Wang K.H. , Hsieh C.H. and Liou(2006). “Cost benefit analysis of series systems with cold standby

components and repairable service station.” Quality Technology Quantitative Management , vol. 3, pp 77-92.

Yadavally V.S.S. & Bekker A. (2005). “Bayesian study of two component system with common cause shock

failure.” Asia-Pacific Journal of Operation Research, vol 22(1), pp 105-119.

Rajamanickam Paul S. & Chandrasekar B.( 1997). “Reliability Measures for two unit systems with a

dependent structure for failure and repair times.”, Microelectron Reliab., vol 37, no. 5, pp 829-833.

Rander M.C., Kumar Ashok & Tuteja R.K.( 1992). “ A two unit cold standby system with major and minor

failures and preparation time in the case of major failure”, Microelectron Reliab., vol 32, no. 9, pp 1199-

Gopalan M.N. & Waghmare S.S.( 1992). “Cost benefit analysis of single server n-unit imperfect switch system

with delayed repair”, Microelectron Reliab., vol 32, no. 2, pp 59-63.

Singh S.K. , Goel S.K. & Gupta Rakesh(1986). “Cost bebefit analysis of a two unit warm standby system with

inspection, repair and post repair”, IEEE transactions on Reliability, vol. 35, no.1, pp 49-53.

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Pathak, V. K., Mehta, K., & Sahu, S. (2013). Performance Analysis Of A System Having One Main Unit And Two Supporting Units. International Journal Of Mathematics And Computer Research, 1(07), 174-188. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/210