A Study on System Reliability in Weibull Distribution

Kumar, Avinash; Krishnan, Sridhar

doi:10.17148/ijireeice.2017.5308

Cited by 7 publications

(4 citation statements)

References 7 publications

(4 reference statements)

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“…The Weibull model is one among the few essential distributions used in reliability theory that are crucial to understanding dependability applications. Many of the analyses using the Weibull model are now available across the engineering literature [18,22,27]. Fisher and Tippett [31] proposed a basic theory of the Weibull distribution as one of three types of extreme value distributions.…”

Section: Introductionmentioning

confidence: 99%

A new neutrosophic model using DUS-Weibull transformation with application

Nayana

Anakha

Chacko

et al. 2022

Complex Intell. Syst.

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There is a need to comprehend real-world problems that are marked by ambiguity and inflexibility. By taking into account the indeterminacies and inconsistencies, DUS transformation has been taken to Neutrosophic Weibull distribution and DUS-Neutrosophic Weibull distribution is proposed. The probability density function is unimodal and decreasing in nature. Several statistical properties have been studied. The parameters of the proposed distribution are estimated using the maximum likelihood method. The proposed distribution has been validated on a real data set. The estimates are found to be more accurate than the classical distributions.

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Section: Introductionmentioning

confidence: 99%

A new neutrosophic model using DUS-Weibull transformation with application

Nayana

Anakha

Chacko

et al. 2022

Complex Intell. Syst.

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“…Gorjian Jolfaei et al evaluated the reliability of the power generation system in order to minimize the operating and maintenance costs in waste-water treatment plants with the two-parameter Weibull model [11]. Kumar and Krishnan estimated the reliability evaluation and the expected first failure time with two-parameter Weibull Distribution using the MTBF criteria of twenty-four diesel compressors of the same brand and model [12]. Li et al determined the lower and upper limits of reliability of electrical elements with three-parameter generalized inverse Weibull [13].…”

Section: Introductionmentioning

confidence: 99%

Elektrik İletim Hatlarının Güvenirliği için Uygun Olasılık Dağılım Seçimi ve Analizi

Kara

Canal

Sefa

et al. 2021

Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım Ve Teknoloji

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Reliability is the ability of a system and/or system components to function within a specified time under specified conditions. One of the most important criteria of electricity transmission systems is to be able to keep the energy on the system continuously within the limits and to be interrupted for the least possible time. The reliability study offers important advantages such as determining the appropriate operating range of the system and making the necessary intervention. In this study, it is aimed to show that the transmission lines can be interrupted for the least amount of time within the specified limits when the maintenance and the operation activities of electricity transmission lines are carried out with Reliability Centered Maintenance (RCM) in the foreground. In this direction, reliability analysis was conducted using transmission line fault data. Also, the Anderson-Darling goodness of fit test was performed to determine from which statistical distribution the transmission line fault data came from. The reliability of the transmission line is evaluated with the Log-normal distribution, which is determined by the goodness of fit. As a result of the reliability assessment, the reliability of the transmission line was found to be low. The advantages that transmission lines can provide when maintenance and operating activities are conducted based on reliability are presented. Elektrik İletim Hatlarının Güvenirliği için Uygun Olasılık Dağılım Seçimi ve Analizi ÖzGüvenirlik, bir sistemin veya sistem bileşenlerinin belirlenen süre içerisinde, belirtilen koşullarda işlevini yerine getirme yeteneğidir. Elektrik iletim sistemlerinin en önemli kriterlerinden birisi sistem üzerindeki enerjiyi limitler dâhilinde sürekli tutabilmek ve mümkün olan en az süre kesintiye gitmektir. Güvenirlik çalışması, sistemin uygun çalışma aralığının tespit edilip gerekli müdahalenin yapılması gibi önemli avantajlar sunmaktadır. Bu çalışmada, elektrik iletim hatlarının bakım ve işletim faaliyetlerinin Güvenirlik Merkezli Bakım (Reliability Centered Maintance -RCM) ön planda tutularak yapıldığında, belirtilen sınırlar dahilinde iletim hatlarının en az sürede kesintiye uğrayabileceğinin gösterilmesi amaçlanmıştır. Bu doğrultuda, iletim hattı arıza verileri kullanılarak güvenilirlik analizi yapılmıştır. Ayrıca, iletim hattı arıza verilerinin hangi istatistiksel dağılımdan geldiğini belirlemek için Anderson-Darling uyum iyiliği testi yapılmıştır. Uyum iyiliği ile belirlenmiş olan Log-normal dağılım ile iletim hattının güvenirlik değerlendirilmesi yapılmıştır. Güvenirlik değerlendirilmesi sonucunda iletim hattının güvenirliğinin düşük olduğu görülmüştür. İletim hatlarının bakım ve işletim faaliyetlerinin güvenirlik merkezli yapıldığında sağlayabileceği faydalar sunulmuştur.

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“…Furthermore, the two‐parameter Weibull model was found to be useful for the performance analysis of redundant systems and can provide maintenance strategies when the random variable follows the Weibull distribution . In reported case studies, the two‐parameter Weibull model was applied for reliability assessment of electromagnetic valves in a high‐speed electric unit, diesel engines, and jaw crushers …”

Section: Introductionmentioning

confidence: 99%

“…29 In reported case studies, the two-parameter Weibull model was applied for reliability assessment of electromagnetic valves in a high-speed electric unit, diesel engines, and jaw crushers. [30][31][32] No studies reporting system reliability modelling of power generation in WWTPs were found in the literature. This case study aims to develop power generation system reliability and availability modelling considering redundancy to minimise operation and maintenance costs.…”

Section: Introductionmentioning

confidence: 99%

Reliability modelling with redundancy—A case study of power generation engines in a wastewater treatment plant

Jolfaei

Jin

Linden

et al. 2019

Quality & Reliability Eng

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Power generators are critical assets in wastewater treatment plants (WWTPs) in Australia and many countries. Better managing the lifetime, minimising failures, improving reliability and availability, and reducing operating and maintenance costs of the power generation assets are still challenging topics for water utilities. This case study aims to develop power generation system reliability and availability modelling considering redundancy to minimise operation and maintenance costs. The two‐parameter Weibull model was used to assess system reliability and availability to power generation engines in WWTPs. The Kaplan‐Meier method (a time‐driven estimation technique) and the log beta‐Weibull model (which is suitable for modelling censored and uncensored data) were used to analyse and validate the modelling results. Shape and scale parameters of the Weibull models were estimated by maximising the log‐likelihood function using non‐linear optimisation. Hazard and reliability functions were calculated using the Weibull model. Results using two‐parameter Weibull, Kaplan‐Meier, and log beta‐Weibull models display low reliability and high hazard rate over time, which was associated with spark plug failure due to a suboptimal start and stop operation strategy.

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A Study on System Reliability in Weibull Distribution

Cited by 7 publications

References 7 publications

A new neutrosophic model using DUS-Weibull transformation with application

A new neutrosophic model using DUS-Weibull transformation with application

Elektrik İletim Hatlarının Güvenirliği için Uygun Olasılık Dağılım Seçimi ve Analizi

Reliability modelling with redundancy—A case study of power generation engines in a wastewater treatment plant

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