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Reliability evaluation of a non series–parallel system of six components with Weibull failure laws

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Abstract

The best possible structure of a non series–parallel system of six components is identified to improve the reliability. The system is developed through a single additional component having maximum flow of information. The logic diagram technique is used to form different duplication paths (simple parallel paths) between IN and OUT terminals according to the flow of information. Each path contains components whose successful operation can lead to the successful operation of the system. The paths which dominate over the other paths are discarded as these paths have no effect on reliability of the system. The failure rates of the components follow the Weibull distribution. The expressions for reliability and mean time to system failure (MTSF) are derived for the system. The behavior of these reliability measures has been observed graphically for arbitrary values of the parameters.

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Authors and Affiliations

  1. Department of Statistics, M.D. University, Rohtak, 124001, India

    Nitika Ahlawat, S. K. Chauhan & S. C. Malik

Authors
  1. Nitika Ahlawat
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  2. S. K. Chauhan
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  3. S. C. Malik
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Correspondence to S. C. Malik.

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Ahlawat, N., Chauhan, S.K. & Malik, S.C. Reliability evaluation of a non series–parallel system of six components with Weibull failure laws. Life Cycle Reliab Saf Eng 8, 91–97 (2019). https://doi.org/10.1007/s41872-018-0066-4

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  • DOI: https://doi.org/10.1007/s41872-018-0066-4

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