考虑备件约束的多部件串联系统使用可用度计算方法

doi:10.7527/S1000-6893.2014.0167

固体力学与飞行器总体设计

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考虑备件约束的多部件串联系统使用可用度计算方法

王蕴^1,2, 王乃超^1,2, 马麟^1,2, 李铁^1,2, 邓浩然^1,2

1. 北京航空航天大学可靠性与系统工程学院, 北京 100191;
2. 北京航空航天大学可靠性与环境工程技术国防科技重点实验室, 北京 100191

收稿日期:2014-05-30 修回日期:2014-07-25 出版日期:2015-04-15 发布日期:2014-08-04
通讯作者: 王乃超Tel.: 010-82313598 E-mail: tian_jia_zhuang@sina.com E-mail:tian_jia_zhuang@sina.com
作者简介:王蕴女, 硕士研究生。主要研究方向: 备件优化。E-mail: ywang8_09@163.com;王乃超男, 博士, 讲师, 硕士生导师。主要研究方向: 保障效能分析, 综合保障工程。Tel: 010-82313598 E-mail: tian_jia_zhuang@sina.com;马麟男, 博士, 副教授, 硕士生导师。主要研究方向: 可靠性工程, 综合保障工程。E-mail: malin@buaa.edu.cn;李铁男, 硕士研究生。主要研究方向: 保障性工程。E-mail: litie789@163.com;邓浩然男, 硕士研究生。主要研究方向: 保障性仿真。E-mail: 453302458@qq.com
基金资助:
国家自然科学基金 (61304148)

Operational availability calculation methods of various series systems under the constraint of spare parts

WANG Yun^1,2, WANG Naichao^1,2, MA Lin^1,2, LI Tie^1,2, DENG Haoran^1,2

1. School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China;
2. National Science Key Laboratory of Reliability and Environmental Engineering Technology, Beihang University, Beijing 100191, China

Received:2014-05-30 Revised:2014-07-25 Online:2015-04-15 Published:2014-08-04
Supported by:
Natural Science Foundation of China (61304148)

摘要/Abstract

摘要：

使用可用度是衡量装备系统保障效能的重要指标,而备件供应是保障活动中的关键,故在计算系统的使用可用度时有必要考虑备件约束对其的影响。在现有的使用可用度计算方法中,马尔可夫更新理论很少用于分析考虑备件的系统,基于库存理论的可用度计算模型没有考虑备件供应延误对系统更换维修活动的影响。为了解决以上问题,首先将整个系统故障与维修过程分为故障系统的更换维修和故障件的维修周转2个子过程,并分析了2个子过程之间的影响关系;然后给出一种考虑备件约束的多部件串联系统使用可用度计算模型;最后实例分析表明,该模型可以方便地计算多部件串联系统的使用可用度,且与库存理论中的计算模型相比,该模型计算结果与仿真结果更为接近。

关键词: 使用可用度, 可修串联系统, 备件, 马尔可夫过程, 指数分布

Abstract:

Operational availability is one of the important indicators to measure support effectiveness of system, and spare parts supply is the key of support activities, so it is necessary to consider the spare parts when calculating operational availability. In the existing operational availability calculation methods, Markov renewal theory is rarely used for analyzing systems with spare parts; in the meantime, the availability calculation model based on inventory theory ignores that the replace and repair activity will be affected by delay in the supply of spare parts. To solve the above problem, firstly, the whole process is divided into two sub-processes, i.e., the replace and repair process of fault system and the maintenance and turnover process of failure parts, then the influence between the two sub-processes is analyzed. Secondly, a model that can compute the operational availability of multi-part series system with spare parts is given. Finally, numerical example shows that the operational availability of multi-part series system can be easily calculated by this model, compared with the calculating results of the model based on inventory theory, the results of this method are closer to the simulation results.

Key words: operational availability, repairable series systems, spare parts, Markov processes, exponential distribution

中图分类号:

V215.7

王蕴, 王乃超, 马麟, 李铁, 邓浩然. 考虑备件约束的多部件串联系统使用可用度计算方法[J]. 航空学报, 2015, 36(4): 1195-1201.

WANG Yun, WANG Naichao, MA Lin, LI Tie, DENG Haoran. Operational availability calculation methods of various series systems under the constraint of spare parts[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(4): 1195-1201.

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E-mail：hkxb@buaa.edu.cn

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考虑备件约束的多部件串联系统使用可用度计算方法

Operational availability calculation methods of various series systems under the constraint of spare parts

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