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Generalized reliability measures of a complex non-series parallel system (CNSPS) with Rayleigh failure laws

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Abstract

A complex non series–parallel system of (m, \({n}_{c}\), l) order is developed by introducing ‘l’ additional components linked to arbitrary non-adjacent ith and jth components of ‘m’ parallel subsystems each containing \(\left\{{n}_{c};1\le c\le m\right\}\) components connected in series. The efforts have been made to determine the best possible structure of the components in order to develop highly reliable system. The logic diagram technique is used to form maximal number of effective duplication paths between IN and OUT terminals according to the flow of information. Each path contains components whose successful operation can lead to successful operation of the system. The path which dominates over any other path is discarded keeping in view of the fact that this path has no effect on reliability of the system. The expressions for reliability and mean time to system failure are derived for the system by considering Rayleigh failure laws using path tracing method. An illustration is given to justify the application of the present work.

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Acknowledgements

The second author of the research paper is very grateful to the Department of Science and Technology (DST), New Delhi for providing Financial Assistance under INSPIRE Fellowship Scheme.

Funding

The 2nd author has been partially assisted by the Department of Science & Technology, New Delhi for this research work to meet out the contigencies expenses.

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  1. Department of Statistics, M.D. University, Rohtak, India

    S. C. Malik & Nitika Ahlawat

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  1. S. C. Malik
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  2. Nitika Ahlawat
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Correspondence to S. C. Malik.

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Malik, S.C., Ahlawat, N. Generalized reliability measures of a complex non-series parallel system (CNSPS) with Rayleigh failure laws. Int J Syst Assur Eng Manag 13, 289–303 (2022). https://doi.org/10.1007/s13198-021-01230-8

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  • DOI: https://doi.org/10.1007/s13198-021-01230-8

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