n个同型部件k个修理设备的冷贮备可修系统的可靠度研究

doi:10.12005/orms.2018.0239

运筹与管理 ›› 2018, Vol. 27 ›› Issue (10): 118-124.DOI: 10.12005/orms.2018.0239

n个同型部件k个修理设备的冷贮备可修系统的可靠度研究

梁丽丹

伊犁师范学院数学与统计分院,新疆伊宁 835000

收稿日期:2016-04-07 出版日期:2018-10-25
作者简介:梁丽丹(1985－ ),女,洛阳人,讲师,硕士研究生,专业:运筹学与控制论。
基金资助:
新疆自治区“十三五”重点学科(数学)开放课题,项目编号(XJZDXK-M2017013)

Study on Reliability of Cold Standbys Repairable System with n Identity artsand k Repair Equipment

LIANG Li-dan

Department of Mathematics and Statistic,Yili Normal University,Yining 835000, China

Received:2016-04-07 Online:2018-10-25

摘要/Abstract

摘要： 在设定元件的工作寿命和维修时间的分布都是负指数分布,全部随机变量都互相独立,发生故障的元件能够修成新的前提下,对由n个同种型号的元件和k(k≤n)个设备修理构成的冷贮存可修体系的可靠性方面进行分析,构建关于此体系的数学模型,获得了n个同种型号元件的冷贮存体系在k个设备修理的情况下的可靠度,且探讨在修理设备k值不相同的情况的可靠度,并针对n=3的情况下,分析修理设备数不相同情况下的可靠度。

关键词: 冷贮存, 可修体系, 可靠度

Abstract: Under the assumptions that the lifetime and maintenance time of components follow exponential distribution,all random variables are considered independent of each other. The reliability analysis is obtained to study a kind of cold standby repairable system with n components of the same type and k(kn) repair facilities. After the system model is built, the reliability of cold standby system can be computed and discussed under different k value. Finally, the reliability of different k value can be analysised for n=3.

Key words: cold standby, repairable system, reliability

中图分类号:

O213.2

梁丽丹. n个同型部件k个修理设备的冷贮备可修系统的可靠度研究[J]. 运筹与管理, 2018, 27(10): 118-124.

LIANG Li-dan. Study on Reliability of Cold Standbys Repairable System with n Identity artsand k Repair Equipment[J]. Operations Research and Management Science, 2018, 27(10): 118-124.

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n个同型部件k个修理设备的冷贮备可修系统的可靠度研究

Study on Reliability of Cold Standbys Repairable System with n Identity artsand k Repair Equipment

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