Estimation Study of Multicomponent Stress-Strength Reliability Using Advanced Sampling Approach

IF 1 Q3 MULTIDISCIPLINARY SCIENCES

gazi university journal of science Pub Date : 2023-03-09 DOI:10.35378/gujs.1132770

A. Hassan, Rasha S. Elshaarawy, H. Nagy

引用次数: 1

Abstract

In this study, we analyze a multicomponent system with v independent and identical strength components X1, …, Xv and each of these components is exposed to a common random stress Y. The system is considered to be operating only if at least u out of v (1 u  v) strength variables exceeds the random stress. The estimate of system reliability is investigated, assuming strength and stress random variables follow the exponentiated exponential distribution with different shape parameters. The maximum likelihood estimator for system reliability is derived from ranked set sampling (RSS), neoteric RSS (NRSS) and median RSS (MRSS). Some accuracy measurements, such as mean squared errors and efficiencies, are used to examine the behaviour of various estimators. Simulation studies demonstrate that the NRSS scheme's reliability estimates are chosen above those of the RSS and MRSS schemes in the majority of situations. Theoretical research is explained through real data analysis

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基于先进抽样方法的多分量应力-强度可靠性估计研究

在本研究中，我们分析了一个多组件系统，该系统具有v个独立且相同的强度组件X1，…，Xv，并且这些组件中的每个组件都暴露于共同的随机应力y。只有当v(1uv)强度变量中至少有u超过随机应力时，系统才被认为是运行的。假设强度和应力随机变量在不同形状参数下服从指数分布，研究了系统可靠性的估计。系统可靠性的最大似然估计是由排序集抽样(RSS)、新近抽样(NRSS)和中位数抽样(MRSS)得到的。一些精度测量，如均方误差和效率，用于检查各种估计器的行为。仿真研究表明，在大多数情况下，NRSS方案的可靠性估计优于RSS和MRSS方案。通过实际数据分析说明理论研究

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

gazi university journal of science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

11.10%

发文量

期刊介绍： The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.