A two-unit parallel system supported by (<i>n</i>− 2) standbys with general and non-identical lifetimes

Papageorgiou, Effie; Kokolakis, George

doi:10.1080/00207720310001657027

Cited by 6 publications

(4 citation statements)

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“…Optimal starting times and the corresponding MTSF are evaluated. Comparisons between the policy applied here (Policy I), and the policy applied in Papageorgiou and Kokolakis [6] (Policy II), are made.…”

Section: Analytical Results With Special Distributionsmentioning

confidence: 99%

“…In Papageorgiou and Kokolakis [6], an n-unit standby redundant system was studied. Two units start their operation simultaneously at time s = 0 and one of these is replaced by a new one upon its failure (Policy II).…”

Section: Reliability Of An Identical Three-unit System With Weibull Lmentioning

confidence: 99%

“…In all these system models it is assumed that the lifetimes are uncorrelated random variables. Papageorgiou and Kokolakis [6] have investigated a related problem where a 0307-904X/$ -see front matter Ó 2005 Elsevier Inc. All rights reserved. doi:10.1016/j.apm.2005.08.010 two-unit general parallel system is supported by (n À 2) cold standby units.…”

Section: Introductionmentioning

confidence: 98%

“…The mean time to system failure (MTSF) is evaluated in the same section. Comparisons with the applied policy in Papageorgiou and Kokolakis [6] are made. Optimal ordering of non-identical units is also considered.…”

Section: Introductionmentioning

confidence: 99%

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Scheduling starting times for an active redundant system with non-identical lifetimes

Kokolakis

Papageorgiou

2006

Applied Mathematical Modelling

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Here we examine an active redundant system with scheduled starting times of the units. We assume availability of n non-identical, non-repairable units for replacement or support. The original unit starts its operation at time s 1 = 0 and each one of the (n À 1) standbys starts its operation at scheduled time s i (i = 2,. . ., n) and works in parallel with those already introduced and not failed before s i . The system is up at times s i (i = 2,. . ., n), if and only if, there is at least one unit in operation. Thus, the system has the possibility to work with up to n units, in parallel structure. Unit-lifetimes T i (i = 1,. . ., n) are independent with cdf F i , respectively. The system has to operate without inspection for a fixed period of time c and it stops functioning when all available units fail before c. The probability that the system is functioning for the required period of time c depends on the distribution of the unit-lifetimes and on the scheduling of the starting times s i . The reliability of the system is evaluated via a recursive relation as a function of the starting times s i (i = 2,. . ., n). Maximizing with respect to the starting times we get the optimal ones. Analytical results are presented for some special distributions and moderate values of n.

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Section: Analytical Results With Special Distributionsmentioning

confidence: 99%

Section: Reliability Of An Identical Three-unit System With Weibull Lmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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