Title: Analysis of a complex system in series-parallel and k-out-of-n arrangement under copula repair approach

Authors: Jyoti Paliwal; V.V. Singh; Priyavada Parihar; S.K. Sahani

Addresses: Department of Mathematics, Lingayas Vidyapeeth Faridabad, Haryana, India ' Mathematics Department, Lingayas Vidyapeeth Faridabad, Haryana, India ' Mathematics Department, Lingayas Vidyapeeth Faridabad, Haryana, India ' Department of Science and Technology, Rajarshi Janak University, Janakpurdham, Nepal

Abstract: In this study, a randomised investigation into an involved refillable system with two subsystems in a series arrangement, subsystem-1 having five parallel-configured, distorted units and subsystem-2 having three similar units is presented. For the research special case of, k-out-of-n: G with underline (k = 3, n = 5) is the operating policy for a subsystem-1 however the work policy imposed for subsystem 2 is 1-out-of-3: G. To prevent the consequences of failure, repair manage the units in both categories. The system follows multiple failures and two types of repairs (general repair and copula repair). Human failure of malfunctions by the operator is treated as a complete failure. Availability, Reliability, MTSF, and profit fractions are among the stochastic metrics that are computed when analysing the system using copula repair and supplementary characteristics.

Keywords: k-out-of-n: G system; availability; reliability; mean time to failure; MTTF; cost analysis; Gumbel-Hougaard family copula distribution.

DOI: 10.1504/IJQET.2024.147909

International Journal of Quality Engineering and Technology, 2024 Vol.10 No.4, pp.295 - 315

Received: 09 May 2024
Accepted: 13 Nov 2024
Published online: 07 Aug 2025 *

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