Improving the performance of the series parallel system with linear exponential distribution

Mustafa, Abdelfattah; El-Desouky, B. S.; Taha, Ahmed

doi:10.12988/imf.2016.67107

Cited by 6 publications

(3 citation statements)

References 9 publications

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“…Therefore, studying and improving the performance of this system includes improving all these systems at the same time. The series-parallel system has been studied for several lifetime distributions, such as (i) exponential, (ii) linear exponential and (iii) modified Weibull distribution, see [1,3,6,13,19,21,22,24].…”

Section: Introductionmentioning

confidence: 99%

Improving the Performance of a Series-Parallel System Based on Gamma Distribution

Mustafa

2024

Int. J. Anal. Appl.

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The performance of a series-parallel system is improved by using the reliability equivalence factors technique. The lifetimes of the components are assumed to be gamma distributed. The system reliability is improved by using three different methods: (i) Reduction method, (ii) Hot duplication method, (iii) Cold duplication method. The reliability function and mean time to failure for each method are derived. Finally, the numerical application is introduced.

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Section: Introductionmentioning

confidence: 99%

Improving the Performance of a Series-Parallel System Based on Gamma Distribution

Mustafa

2024

Int. J. Anal. Appl.

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“…Migdadi et al (2019) studied the reliability and MTTF of the general series-parallel system by considering reduction strategies, as well as hot, cold, and hybrid duplication strategies with general exponential distributed components. Recently, Mustafa et al (2023) improved the performance of the series-parallel system by assuming independently and identically distributed (i.i.d.) Lindley components with three parameters.…”

Section: Introductionmentioning

confidence: 99%

Reliability Equivalence Factors for Coherent System using Survival Signature

Chopra,

2024

Int. j. math. eng. manag. sci.

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This study presents a methodology aimed at enhancing the performance of coherent systems through the application of survival signature analysis, focusing on the calculation of reliability equivalence factors (REFs). In the context of system improvement, the selection of reliability improvement strategies, such as reduction and duplication, depends on various factors like space limitations, costs, and other constraints. The importance of REF lies in their ability to quantify the extent of reliability improvement, providing a clear metric for decision-makers to assess the cost-effectiveness of various enhancement strategies. The analysis focuses on two distinct types of REFs, namely, mean reliability equivalence factors (MREFs) and survival reliability equivalence factors (SREFs), targeted at reliability enhancement via strategies including component failure rate reduction and the implementation of warm standby duplication. Both perfect and imperfect switching scenarios in warm duplication are examined, with survival signature analysis applied to determine the system's survival function and mean time to failure (MTTF). The methodology's effectiveness is illustrated through a case study of a six-unit bridge system, where the components are modeled using exponential and Weibull distributions. REFs are evaluated for sequential upgrades in either individual components or entire component types. The study also conducts a comparative analysis between the reliability and MTTF of the original and improved systems across different improvement techniques.

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“…Mustafa et al [8] analyzed a system consisting of five components, one of which was integrated into a bridge network configuration, and enhanced its performance through the utilization of the gamma distribution. They also explored a series-parallel system with a linear exponential distribution and employed various improvement techniques [9]. Additionally, Mustafa [10] examined the reliability equivalence factor, investigating a series configuration in which component failure rates adhered to both Weibull and linearly increasing distributions.…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment of Bridge Structure Using Bilal Distribution

Ramadan,

Alamri,

Tolba

2024

Mathematics

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Reliability assessments are pivotal in evaluating system quality and have found extensive application in manufacturing. This research delves into a system comprising five components, one of which is a bridge network. The components are presumed to follow a Bilal lifetime distribution with a failure rate that changes over time. Four distinct methods are employed to enhance the components within the system. This study involves the computation of δ-fractiles and reliability equivalence factors (REFs). Additionally, a numerical case study is provided to elucidate the theoretical findings.

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Improving the performance of the series parallel system with linear exponential distribution

Cited by 6 publications

References 9 publications

Improving the Performance of a Series-Parallel System Based on Gamma Distribution

Improving the Performance of a Series-Parallel System Based on Gamma Distribution

Reliability Equivalence Factors for Coherent System using Survival Signature

Reliability Assessment of Bridge Structure Using Bilal Distribution

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