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相关论文: Analysis of Repairable Systems Availability with L…

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Cold standby 1-out-of-n redundant systems are well-established models in system reliability engineering. To date, reliability analyses of such systems have predominantly assumed exponential, Erlang, or Weibull failure distributions for…

应用统计 · 统计学 2025-12-30 Afshin Yaghoubi , Esmaile Khorram , Omid Naghshineh Arjmand

This paper deals with system with $n$ identical elements and one repairing device. While one element working other ones stay in reserve. The distribution of element working and repairing times are supposed to be exponential. Here we obtain…

综合数学 · 数学 2020-03-04 E. A. Golovastova

In a system, there are identical replaceable components working for a given task and a failed component is replaced by a functioning one in the corresponding position, which characterizes a repairable system. Assuming that a replaced…

We review basic modeling approaches for failure and maintenance data from repairable systems. In particular we consider imperfect repair models, defined in terms of virtual age processes, and the trend-renewal process which extends the…

统计方法学 · 统计学 2007-08-03 Bo Henry Lindqvist

In this paper we consider the system with $n$ identical elements and one repairing device. In each time moment only one element works while the rest elements stay in reserve. The distribution of element repairing period is exponential, the…

概率论 · 数学 2021-01-20 E. A. Golovastova

The exponential upper bounds for the convergence rate of the distribution of restorable element with partially energized standby redundancy are founded, in the case when all working and repair times are bounded by exponential random…

概率论 · 数学 2018-08-30 Galina Zverkina

The reliability of a system of components depends on reliability of each component. Thus, the initial statistical work should be the estimation of the reliability of each component of the system. This is not an easy task because when the…

Aiming for accurate estimation of system reliability of load-sharing systems, a flexible model for such systems is constructed by approximating the cumulative hazard functions of component lifetimes using piecewise linear functions. The…

统计方法学 · 统计学 2023-01-05 Shilpi Biswas , Ayon Ganguly , Debanjan Mitra

The aim of this article is to analyze data from multiple repairable systems under the presence of dependent competing risks. In order to model this dependence structure, we adopted the well-known shared frailty model. This model provides a…

In this paper we show a limit result for the reliability function of a system -- that is, the probability that the whole system is still operational after a certain given time -- when the number of components of the system grows to…

概率论 · 数学 2025-01-09 Guido Lagos , Javiera Barrera , Pablo Romero , Juan Valencia

Here, we introduce a new class of Lindley generated distributions which results in more flexible model with increasing failure rate (IFR), decreasing failure rate(DFR) and up-side down hazard functions for different choices of parametric…

统计理论 · 数学 2016-01-07 Deepesh Bhati , Mohd. Aamir Malik , K. K. Jose

This initial version of this document was written back in 2014 for the sole purpose of providing fundamentals of reliability theory as well as to identify the theoretical types of machinery for the prediction of durability/availability of…

性能 · 计算机科学 2023-01-24 Suayb S. Arslan

In a coherent reliability system composed of multiple components configured according to a specific structure function, the distribution of system time to failure, or system lifetime, is often of primary interest. Accurate estimation of…

统计方法学 · 统计学 2025-09-19 Beidi Qiang , Edsel Pena

In this article, we proposed an inverse Lindley distribution and studied its fundamental properties such as quantiles, mode, stochastic ordering and entropy measure. The proposed distribution is observed to be a heavy-tailed distribution…

应用统计 · 统计学 2014-05-27 Vikas Kumar Sharma , Sanjay Kumar Singh , Umesh Singh , Varun Agiwal

Software reliability is an important quality attrib-ute, often evaluated as either a function of time or of system structures. The goal of this study is to have this metric cover both for component-based software, be-cause its reliability…

软件工程 · 计算机科学 2007-05-23 Wen-Li Wang , Mei-Huei Tang

This paper considers a point process model with a monotonically decreasing or increasing ROCOF and the underlying distributions from the location-scale family, known as the geometric process (Lam, 1988). In terms of repairable system…

统计方法学 · 统计学 2010-10-27 Mark Kaminskiy , Vasiliy Krivtsov

In this paper, we study network reliability in relation to a periodic time-dependent utility function that reflects the system's functional performance. When an anomaly occurs, the system incurs a loss of utility that depends on the…

信息论 · 计算机科学 2023-01-16 Ali Maatouk , Fadhel Ayed , Shi Biao , Wenjie Li , Harvey Bao , Enrico Zio

Failure times of a machinery cannot always be assumed independent and identically distributed, e.g. if after reparations the machinery is not restored to a same-as-new condition. Framed within the renewal processes approach, a…

应用统计 · 统计学 2019-05-14 Arrigo Coen , Luis Gutiérrez , Ramsés H. Mena

A reasonable segment of reliability theory is perpetrated to the study of failure rates, their properties, connections and applications. The present study focused on failure rate distributions and their shape properties. Failure rates of…

统计理论 · 数学 2021-07-22 Anakha K K , V M Chacko

As a key index for applications of a device, the device's reliability is its ability to survive (function normally over time) under the influence of some environment. In this paper we present a quantum energy-storing device model with a…

量子物理 · 物理学 2026-03-13 Bowen Sun , D. L. Zhou
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