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Performability analysis of a system under 1-out-of-2:G scheme with perfect reworking

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Abstract

In safety critical applications, it becomes common to improve the reliability through k-out-of-n redundancy. In this research, the authors have presented an analytical approach to compute the reliability measures of a system, which contains a mixed configuration. The system consists of three subsystems, namely A, B and C, connected in mixed configurations (i.e. combination of series and parallel configuration). Subsystem A is of the type 1-out of-2:G. Subsystem A is connected to subsystem B in a parallel configuration and these two subsystems are connected in series configuration with subsystem C. The considered system has three states, namely, good, degraded and failed. Markov process, supplementary variable technique and Laplace transformation have been used for solution and reliability measures like availability, reliability, mean time to failure, sensitivity analysis and cost-effectiveness have been evaluated of the considered system.

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Acknowledgments

The authors would like to thank the anonymous reviewers and the Editor-in-Chief of the Journal for their valuable suggestions and critical comments which help a lot in improving the quality and clarity of the paper. Authors are also thankful to the Research and Development Department of the Graphic Era University, Dehradun, India for the facilities provided for the research work.

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Authors and Affiliations

  1. Department of Mathematics, Graphic Era University, Dehradun, Uttarakhand, India

    Mangey Ram & Amit Kumar

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  1. Mangey Ram
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  2. Amit Kumar
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Correspondence to Mangey Ram.

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Technical Editor: Marcelo A. Trindade.

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Ram, M., Kumar, A. Performability analysis of a system under 1-out-of-2:G scheme with perfect reworking. J Braz. Soc. Mech. Sci. Eng. 37, 1029–1038 (2015). https://doi.org/10.1007/s40430-014-0227-y

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  • DOI: https://doi.org/10.1007/s40430-014-0227-y

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