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ADVANCES IN INDUSTRIAL ENGINEERING AND MANAGEMENT
ISSN:2222-7059 (Print);EISSN: 2222-7067 (Online)
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Title : Stochastic Analysis of a Cold Standby System with Priority to Preventive Maintenance over Repair
Author(s) : S.C. Malik, Sudesh K. Barak, M.S. Barak
Author affiliation : 1 Department of Statistics, M.D. University Rohtak (Haryana)-124001
2 Department of Mathematics, I.G. University, Rewari (Haryana) -122502
Corresponding author img Corresponding author at : Corresponding author img  

Abstract:
A stochastic model is developed for a two-unit cold standby system under the aspect of priority to preventive maintenance over repair. The units are identical having two modes- operative and complete failure. There is a single server who visits the system immediately to carry out the repair activities. Server conducts preventive maintenance of the operative unit after a pre-specific time ‘t’. However, repair of the unit is done by the server at its complete failure. Priority is given to maintenance of one unit over repair of the other unit. The random variables associated with failure time, the rate by which unit undergoes for preventive maintenance and repair time are statistically independent. The failure time and time by which unit goes for preventive maintenance follow exponential distribution while the distributions for maintenance and repair times are taken as arbitrary with different probability density functions. Several measures of system effectiveness are obtained using semi-Markov process and regenerative point technique. Graphs are drawn to depict the behavior of MTSF, availability and profit function giving arbitrary values to various parameters and costs.

Key words:cold standby system; maximum operation time; preventive maintenance; repair; priority and stochastic analysis

Cite it:
S.C. Malik, Sudesh K. Barak, M.S. Barak, Title Synthesis, Stochastic Analysis of a Cold Standby System with Priority to Preventive Maintenance over Repair, Advances in Industrial Engineering and Management, Vol.3, No.2, 2014, pp.31-36, doi: 10.7508/AIEM-V3-N2-31-36

Full Text : PDF(size: 330.53 kB, pp.31-36, Download times:370)

DOI : 10.7508/AIEM-V3-N2-31-36

References:
[1] T. Nakagawa and S. Osaki, 1975. Stochastic behavior of two unit parallel redundant system with preventive maintenance. Microelectronics & Reliability. Vol. 14. pp. 457-461.
[2] L.R. Goel and S.C. Sharma, (1989). Stochastic analysis of a two-unit standby system with tow failure modes and slow switch. Microelectronics & Reliability. Vol. 29(4). pp. 493-498.
[3] B.S. Dhillon, 1992. Reliability and availability analysis of a system with standby and common cause failures. Microelectronics & Reliability. Vol. 33(9). pp. 1343-1349.
[4] Anis Chelbi, Ait-Kadi, Daoud and Aloui Houda, 2008. Optimal inspection and preventive maintenance policy for systems with self-announcing and non-self-announcing failures. Journal of Quality in Maintenance Engineering. Vol. 14(1). pp. 34-45.
[5] S.K. Chhillar and S.C. Malik, 2013. Reliability measures of a standby system with priority to maintenance over repair subject to random shocks. International Journal of Mathematical Sciences and Engineering Applications. Vol. 7(III). pp. 89-100.
[6] S.C. Malik, 2013. Reliability modeling of a computer system with preventive maintenance and priority subject to maximum operation and repair times. International Journal System Assurance Engineering & Management. Vol. 4(1). pp. 94-100.

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