Reliability equivalence factors in Gamma distribution

Xia, Yan; Guo-fen, Zhang

doi:10.1016/j.amc.2006.07.016

Cited by 26 publications

(19 citation statements)

References 6 publications

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“…2) Warm availability equivalence reducing factor (WAERF): Substituting Equations (6) and (14) into Equation (18), , ,…”

Section: R Bmentioning

confidence: 99%

Availability Equivalence Factors of a General Repairable Parallel-Series System

Mustafa¹,

Sarhan²

2014

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The availability equivalence factors of a general repairable parallel-series system are discussed in this paper considering the availability function of the system. The system components are assumed to be repairable and independent but not identical. The life and repair times of the system components are exponentially distributed with different parameters. Two types of availability equivalent factors of the system are derived. The results derived in this paper generalize those given in the literature. A numerical example is introduced to illustrate how the idea of this work can be applied.

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“…2) Warm availability equivalence reducing factor (WAERF): Substituting Equations (6) and (14) into Equation (18), , ,…”

Section: R Bmentioning

confidence: 99%

Availability Equivalence Factors of a General Repairable Parallel-Series System

Mustafa¹,

Sarhan²

2014

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“…at is, using this concept, one can say that system performance can be improved through an alternative design [4]. In this case, different system designs must be compared based on performance characteristics such as (i) the reliability function or mean time to failure for nonrepairable systems [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] or (ii) the availability in the case of repairable systems [2,[22][23][24]. e reliability systems in life can be divided into the following types:…”

Section: Introductionmentioning

confidence: 99%

Availability Equivalence Analysis for the Simulation of Repairable Bridge Network System

2020

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The performance of a repairable bridge network system is improved by using the availability equivalence factors. All components for the bridge system have constant failure and repair rates. The system is improved through the use of five methods: reduction, increase, hot duplication, warm duplication, and cold duplication methods. The availability of the original and improved systems is derived. Two types of availability equivalence factors of the system are obtained to compare different system designs. Numerical example to interpret how to utilize the obtained results is provided.

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“…Råde [2,3], Sarhan [4][5][6][7], and Montaser and Sarhan [8] applied such concept to discuss various systems with exponential distribution in the case of no repairs. Xia and Zhang [9] investigated the reliability equivalence of a parallel system with Gamma life time distribution. Mustafa [10] studied the reliability equivalence of some systems with mixture Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

Availability Equivalence Analysis of a Repairable Multistate Parallel-Series System with Different Performance Rates

Hu¹,

Yue

Tian³

2016

Discrete Dynamics in Nature and Society

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This paper extends the concept of availability equivalence from general binary system to discrete multistate system with different performance rates. It considers a repairable discrete multistate parallel-series system with different performance rates. The system availability is defined as the ability of the system to satisfy consumer demand. The universal generating function technique is adopted to derive the availability of both original and improved systems according to factor method and standby redundancy method. Two types of availability equivalence factors of the system are analyzed. A numerical example is presented to illustrate the theoretical results obtained in this paper.

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Reliability equivalence factors in Gamma distribution

Cited by 26 publications

References 6 publications

Availability Equivalence Factors of a General Repairable Parallel-Series System

Availability Equivalence Factors of a General Repairable Parallel-Series System

Availability Equivalence Analysis for the Simulation of Repairable Bridge Network System

Availability Equivalence Analysis of a Repairable Multistate Parallel-Series System with Different Performance Rates

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