Reliability Measures Analysis of an Industrial System under Standby Modes and Catastrophic Failure

Mangey Ram and Monika Manglik
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Mangey Ram: Department of Mathematics, Graphic Era (Deemed to be University), India
Monika Manglik: Department of Mathematics, Graphic Era University, Dehradun, India

International Journal of Operations Research and Information Systems (IJORIS), 2016, vol. 7, issue 3, 36-56

Abstract: The objective of this research paper is, to present the reliability measures of a model by representing an industrial system having three subsystems. Two of the subsystems have standby unit while the third one has n units in parallel configuration. The entire system can fail due to a failure in subsystems or due to the catastrophic failure. The system failure and the repair rates are assumed to be constant. Markov and supplementary variable methodologies have been used to achieve the mathematical analysis of this model. Generalized expressions of state probabilities, system availability, reliability, mean time to failure, mean time to repair, cost analysis and sensitivity analysis are developed. Graphs for the resulting expressions have been shown.

Date: 2016
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