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Abstract
Planning a highly reliable and efficient system has always been a primary interest for reliability engineers by devising the powerful design strategy and employing effective repair and replacement policy. Keeping in view this, the basic aim of this paper is to analyze the reliability of a system which comprised of two units A and B in which unit A is functional and B is held standby. Unit A after failure may be controlled or uncontrolled. The failed unit undergoes for repair in the controlled unit. If the repair of a unit is not controlled then it is replaced by a new one. Upon the breakdown of operational unit A, unit B come becomes active instantaneously. Unit B after failure is repaired by regular repairmen. System failure takes place when both the units quit serving. The unit serves as good as a fresh after preventive repair and replacement policy. The regenerative point technique has been used to obtain the expression for several reliability measures. Finally, the graphical behavior of MTSF and profit of the present model has been observed for arbitrary values of parameters and costs.
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References
-
1. Barak, M. S.,Yadav, D. & Kumari, S. (2018). “Stochastic analysis of a two-unit system with standby and server failure subject to inspectionâ€, Life Cycle Reliab Saf Eng., pp.7:23. 2. Barak, M.S. and Yadav, D. (2016). “Stochastic analysis of a cold standby system with server failureâ€, Int J Math Stat Invent (IJMSI), vol. 4(6) pp.18–22.
3. Barak, M.S., Yadav, D. & Barak, S.K. (2017a). “Stochastic analysis of a cold standby system with conditional failure of serverâ€, Int J Stat Reliab Eng., vol. 4(1) pp. 65–69.
4. Barak, M.S., Yadav, D. & Barak, S.K. (2017b). “Stochastic analysis of two unit redundant system with priority to inspection over repairâ€, Life Cycle Reliab Safety Eng.,https ://doi.org/10.1007/s4187 2-018-0041-0.
5. Bashir, R., Joorel, J.P.S. & Kour, R. (2016) “Probabilistic analysis of single unit model with controlled and uncontrolled demand factor and inspection policy available in the systemâ€, International Journal of Computational and Theoretical Statistics, Vol. No. 3(1), pp. 29-38.
6. Bhardwaj., Singh,R.K. & Ravinder (2014). “Steady state Behavior of a cold-standby system with Server failure and Arbitrary Repair, Replacement and treatment â€, International journal of Applied Engineering Research, Vol. 9(24), 26563-26578 .
7. Cao, Jinhua & Hong, W.Y.(1989), “Reliability of two-unit cold standby system with replaceable repair facilityâ€, Microelectronics Reliability, Vol. 29(2), pp. 145-150.
8. Gitanjali, and Malik,S.C. (2018) â€Stochastic behavior of parallel system with expert repair and maintenanceâ€, Society for Reliability and Safety (SRESA), https://doi.org/10.1007/s41872-018-0064-6.
9. Kadyan, M.S., Malik, S.C. & Kumar, J. (2010). “ Cost analysis of a system under priority to repair and degradationâ€, Int. J. Stat. Syst., Vol. 5(1), pp. 1–10.
10. Kumar, A. & Malik, S.C. (2011). “Profit analysis of a computer system with priority to software replacement over hardware repair subject to maximum operation and repair timesâ€, Int J Eng Sci Technol, Vol. 3(10), 7452–7468.
11. Kumar,A., Pawar,D. & Malik,S.C. (2019) â€Weathering Server System with Non-identical Units and Priority to Repair of Main Unitâ€, Jour of Adv Research in Dynamical and Control Systems, Vol. 11, pp.10-18.
12. Kumar,I., Kumar,A. & Saini,M. (2019) â€Analysis of performance measures of computer systems with priority and maximum operation time, information and communication technology for sustainable development,†Advances in Intelligent Systems and Computing, https://doi.org/10:1007/978-981-13-7166-0-1.
13. Malik,S.C. & Poonam, (2018) â€Stochastic analysis of a parallel system with failure of service facilityâ€, Mathematical Sciences Research Journal, 8(2), pp. 97-106.
14. Sureria,J.K., Malik, S.C. & Anand, J. (2012).†Cost-benefit analysis of a computer system with priority to S/w replacement over H/w repairâ€, Appl. Math. Sci., Vol. 6(75), 3723–3734.