A Reliability Model for a Two Dissimilar Units Series System with Repair Time-Dependent Standby
Jai Bhagwan1, Amit Manocha2, Anil Taneja3

1Jai Bhagwan, Department of Mathematics, Government P.G. Nehru College Jhajjar, Haryana, India.
2Amit Manocha*, Department of Mathematics, TIT&S, Bhiwani, Haryana, India.
3Anil Taneja, Department of Mathematics, Skyline University Nigeria, Kano,Nigeria.
Manuscript received on January 26, 2020. | Revised Manuscript received on February 05, 2020. | Manuscript published on February 30, 2020. | PP: 2890-2893 | Volume-9 Issue-3, February 2020. | Retrieval Number:  B4031129219/2020©BEIESP | DOI: 10.35940/ijeat.B4031.029320
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Abstract: The present paper stochastically analyze a system comprising two dissimilar units (unit-1/unit-2) working in series configuration. System fails completely when either of the units gets failed. The repair time of unit-2 is considered to be much more as compared to the repair time of unit-1. So, to minimize the breakdown period of the system, a standby unit is provided against the second unit. Regenerative point technique (RPT) is used to develop a semi-markovian reliability model for the mentioned system. Optimum cut-off points concerning the profitability of the system have also been obtained. The model has applications in industries, particularly in aluminum industry.
Keywords: Dissimilar units, Optimum cut-off points, Repair time dependent standby, semi-Markov process, Series configuration.