Reliability Simulation of Two Component Warm-Standby System with Repair, Switching, and Back-Switching Failures under Three Aging Assumptions

Kiril Tenekedjiev, Simon Cooley, Boyan Mednikarov, Guixin Fan and Natalia Nikolova
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Kiril Tenekedjiev: Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia
Simon Cooley: Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia
Boyan Mednikarov: Nikola Vaptsarov Naval Academy—Varna, 73 V. Drumev Str., 9002 Varna, Bulgaria
Guixin Fan: Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia
Natalia Nikolova: Australian Maritime College, University of Tasmania, 1 Maritime Way, Launceston, TAS 7250, Australia

Mathematics, 2021, vol. 9, issue 20, 1-40

Abstract: We analyze the influence of repair on a two-component warm-standby system with switching and back-switching failures. The repair of the primary component follows a minimal process, i.e., it experiences full aging during the repair. The backup component operates only while the primary component is being repaired, but it can also fail in standby, in which case there will be no repair for the backup component (as there is no indication of the failure). Four types of system failures are investigated: both components fail to operate in a different order or one of two types of switching failures occur. The reliability behavior of the system is investigated under three different aging assumptions for the backup component during warm-standby: full aging, no aging, and partial aging. Four failure and repair distributions determine the reliability behavior of the system. We analyzed two cases—in the First Case, we utilized constant failure rate distributions. In the Second Case, we applied the more realistic time-dependent failure rates. We used three methods to identify the reliability characteristics of the system: analytical, numerical, and simulational. The analytical approach is limited and only viable for constant failure rate distributions i.e., the First Case. The numerical method integrates simultaneous Algebraic Differential Equations. It produces a solution in the First Case under any type of aging, and in the Second Case but only under the assumption of full aging in warm-standby. On the other hand, the developed simulation algorithms produce solutions for any set of distributions (i.e., the First Case and the Second Case) under any of the three aging assumptions for the backup component in standby. The simulation solution is quantitively verified by comparison with the other two methods, and qualitatively verified by comparing the solutions under the three aging assumptions. It is numerically proven that the full aging and no aging solutions could serve as bounds of the partial aging case even when the precise mechanism of partial aging is unknown.

Keywords: state probability functions; partial aging in standby; Monte Carlo simulation; qualitative and quantitative verification of simulation model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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