# Simulation Algorithms to Assess the Impact of Aging on the Reliability of Standby Systems with Switching Failures

Nikolava, N ORCID: 0000-0001-6160-6282, Tenekedjiev, K ORCID: 0000-0003-3549-0671, Fan, G, Symes, M ORCID: 0000-0003-2241-4995 and Nguyen, O ORCID: 0000-0002-9167-0143 2021 , 'Simulation Algorithms to Assess the Impact of Aging on the Reliability of Standby Systems with Switching Failures', in V Sgurev and V Jotsov and J Kacprzyk (eds.), Advances in Intelligent Systems Research and Innovation , Springer, Switzerland, pp. 463-496.

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## Abstract

We analyze the influence of aging on the reliability of a two-componentstandby system with switching failures (2SBSF). When the backup component isaging in standby as if it is working, we have a 2SBSF with full aging. Typically,such a system is modelled with a rate diagram (where the failure rates are time-dependent) which has an adjacent system of 3 ordinary differential equations (ODEs).The reliability characteristics of the 2SBSF with full aging can be obtained fromthe numerical solution of the formulated Cauchy problem. Alternatively, simulationmodelling can produce the same results, but without using the rate diagram. In thatway we can adapt the simulation algorithms to treat the cases when either the backupcomponent does not age in standby (2SBSF with no aging), or when the backupcomponent ages in standby slower than in operation (2SBSF with partial aging).In the last two cases there is neither rate diagram, nor a system of ODEs since the2SBSF is not state dependent when the full aging assumption does not hold. Wedevelop ten algorithms to facilitate the simulation solutions of the 2SBSF with noaging and with partial aging. We emphasize on the ways to deal with the numericalproblems created by working with truncated distributions and with random sampling

Item Type: Book Section Nikolava, N and Tenekedjiev, K and Fan, G and Symes, M and Nguyen, O reliability, algorithms, simulation Springer https://doi.org/10.1007/978-3-030-78124-8 Copyright 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG View statistics for this item