系统构造下老化类保存的关键分布

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-03-30 DOI:10.1016/j.cam.2025.116650

Jorge Navarro , Tomasz Rychlik , Magdalena Szymkowiak

{"title":"系统构造下老化类保存的关键分布","authors":"Jorge Navarro , Tomasz Rychlik , Magdalena Szymkowiak","doi":"10.1016/j.cam.2025.116650","DOIUrl":null,"url":null,"abstract":"<div><div>We show that some distributions play a crucial role in the aging classes closure under the creation of semi-coherent (or mixed) systems with identically distributed component lifetimes. In this way, if the class is inherited for that key distributions, then so is for the remaining distributions included this class. In the most important aging classes, the key distribution is the exponential one, which plays a central role in this context since it represents units without aging (with the lack of memory property). In other classes the key distributions are the uniform and Pareto models. These distributions lead to mathematical properties that may be useful to decide if an aging class is inherited by a specific system. We consider both the cases of systems with independent and dependent components.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"469 ","pages":"Article 116650"},"PeriodicalIF":2.1000,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Key distributions in the preservation of aging classes under the construction of systems\",\"authors\":\"Jorge Navarro , Tomasz Rychlik , Magdalena Szymkowiak\",\"doi\":\"10.1016/j.cam.2025.116650\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We show that some distributions play a crucial role in the aging classes closure under the creation of semi-coherent (or mixed) systems with identically distributed component lifetimes. In this way, if the class is inherited for that key distributions, then so is for the remaining distributions included this class. In the most important aging classes, the key distribution is the exponential one, which plays a central role in this context since it represents units without aging (with the lack of memory property). In other classes the key distributions are the uniform and Pareto models. These distributions lead to mathematical properties that may be useful to decide if an aging class is inherited by a specific system. We consider both the cases of systems with independent and dependent components.</div></div>\",\"PeriodicalId\":50226,\"journal\":{\"name\":\"Journal of Computational and Applied Mathematics\",\"volume\":\"469 \",\"pages\":\"Article 116650\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2025-03-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational and Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0377042725001645\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0377042725001645","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

我们表明，在创建具有相同分布组件生命周期的半相干（或混合）系统时，一些分布在老化类闭包中起着至关重要的作用。这样，如果这个类是为那个键分布继承的，那么包含这个类的其他分布也是如此。在最重要的老化类中，键分布是指数分布，它在此上下文中起着中心作用，因为它表示没有老化的单元（缺乏内存属性）。在其他类中，关键分布是均匀模型和帕累托模型。这些分布导致了一些数学属性，这些属性对于决定老化类是否由特定系统继承可能很有用。我们考虑了具有独立和依赖组件的系统的两种情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Key distributions in the preservation of aging classes under the construction of systems

We show that some distributions play a crucial role in the aging classes closure under the creation of semi-coherent (or mixed) systems with identically distributed component lifetimes. In this way, if the class is inherited for that key distributions, then so is for the remaining distributions included this class. In the most important aging classes, the key distribution is the exponential one, which plays a central role in this context since it represents units without aging (with the lack of memory property). In other classes the key distributions are the uniform and Pareto models. These distributions lead to mathematical properties that may be useful to decide if an aging class is inherited by a specific system. We consider both the cases of systems with independent and dependent components.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.