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

S. C. Malik () and Nitika Ahlawat ()
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S. C. Malik: M.D. University
Nitika Ahlawat: M.D. University

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 1, No 20, 289-303

Abstract: Abstract A complex non series–parallel system of (m, $${n}_{c}$$ 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 $$\left\{{n}_{c};1\le c\le m\right\}$$ n c ; 1 ≤ c ≤ m 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.

Keywords: CNSPS; Reliability; LDT; Rayleigh distribution (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13198-021-01230-8

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