Some new ordering results on residual life and inactivity time of series systems with two components having statistically dependent lifetimes

IF 0.9 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-09-17 DOI:10.1016/j.orl.2025.107369

Rui Fang , Xiaohu Li

引用次数: 0

Abstract

This study considers two components with statistically dependent lifetimes, and compares the residual lifetime of the series system of them and the lifetime of the series of used components with residual lifetimes. Sufficient and necessary conditions about the usual stochastic order and hazard rate order are developed. The findings reveal that the dependence structure is critical in determining whether the used system is more reliable. The inactivity time is also investigated. Numerical examples are also presented to illustrate the findings.

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具有统计相关寿命的两分量串联系统的剩余寿命和不活动时间的一些新的排序结果

本文考虑了两个具有统计依赖寿命的部件，并将它们串联系统的剩余寿命与具有剩余寿命的使用部件的系列寿命进行了比较。给出了一般随机序和危险率序的充要条件。研究结果表明，依赖结构是决定所使用系统是否更可靠的关键。研究了不活动时间。数值算例也说明了研究结果。

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

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.