装备平均修复时间验证方法研究综述

doi:10.3969/j.issn.1001-506X.2020.12.32

Abstract

Abstract:

Maintainability demonstration is an essential part of equipment maintainability work. Mean time to repair (MTTR) is the main parameter for the demonstration of the quantitative maintainability requirement. The MTTR demonstration methods research is reviewed from the aspects of the development of MTTR demonstration standards and handbooks at home and abroad and common methods for MTTR demonstration. The MTTR demonstration standards and handbooks issued by the U.S. Department of Defense, International Electrotechnical Commission and China related agencies are introduced. The MTTR demonstration methods in the above standards and handbooks are analyzed. The common methods for equipment MTTR demonstration, including physical equipment-based and virtual reality-based demonstration method, and their applications are discussed and concluded. In addition, the research features and future directions of the MTTR demonstration methods are suggested, the developing advices are proposed.

Key words: maintainability demonstration, mean time to repair (MTTR), classical mathematical statistics method, Bayesian method, virtual reality (VR), predetermined motion time system (PMTS)

CLC Number:

TJ01
O212

Zhenya WU, Jianping HAO, Hanqing CHEN, Jieqiao LI, Jishuai TAN. Review on research of equipment mean time to repair demonstration methods[J]. Systems Engineering and Electronics, 2020, 42(12): 2931-2943.

Figures/Tables 8

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符号	含义
n	试验所需样本量
α	第一类风险(生产方风险)
β	第二类风险(购买方风险)
$\begin{array}{l}\tilde{\sigma}^{2}\end{array} $	对数方差预先估计值
$\widetilde{d}^{2} $	方差预先估计值
μ₀	MTTR期望值
μ₁	MTTR不可接受值
$ \hat{M}_{\mathrm{CT}} / \mathrm{h}$	MTTR的观测值
T₁/h	外场级修复性维修总时间
r₁	外场级修复性维修所统计的维修作业数

标准(手册)号	方法编号	检验参数	分布假设	样本量	需要规定的参量
MIL-STD-471	1	修复性维修时间均值和最大值(第95百分位数)的组合	对数正态分布方差未知	不固定(序贯试验)	μ₁
MIL-STD-471	2	修复性维修时间均值、预防性维修时间均值维修时间均值、修复性维修时间最大值(至少一个均值指标和最大值指标必须被指定)	无分布假设方差未知	不小于50	μ₁, β
MIL-STD-471A	1-A	维修时间均值	对数正态分布方差已知	见方法(不小于30)	μ₀, μ₁, α, β
MIL-STD-471A	1-B	维修时间均值	无分布假设方差已知	见方法(不小于30)	μ₀, μ₁, α, β
MIL-STD-471A (修订版) MIL-HDBK-471 MIL-HDBK-470A	1-A	维修时间均值	对数正态分布方差已知	见方法(不小于30)	μ₀, μ₁, α, β
	1-B	维修时间均值	无分布假设方差已知	见方法(不小于30)	μ₀, μ₁, α, β
	8	维修时间均值和维修时间第90(95)百分位数的组合	对数正态分布方差未知	不固定(序贯试验)	μ₁
	9	修复性维修时间均值、预防性维修时间均值、维修时间均值	无分布假设方差未知	不小于30	μ₁, β

方法编号	检验参数	分布假设	样本量	需要规定的参量
1	维修时间均值	对数正态分布方差已知	见方法(不小于30)	μ₀, μ₁, α, β
2	维修时间均值	无分布假设方差已知	见方法(不小于30)	μ₀, μ₁, α, β
3	维修时间均值	无分布假设方差未知	见方法(不小于50)	μ₀, μ₁, α, β

方法编号	检验参数	分布假设	样本量	需要规定的参量
1-A	维修时间均值	对数正态分布方差已知	见方法(不小于30)	μ₀, μ₁, α, β
1-B	维修时间均值	无分布假设方差已知	见方法(不小于30)	μ₀, μ₁, α, β
⋮	⋮	⋮	⋮	⋮
8	维修时间均值和维修时间最大值(第90或95百分位数)的组合	对数正态分布方差未知	不固定(序贯试验)	μ₁
9	修复性维修时间均值、预防性维修时间均值、维修时间均值	无分布假设方差未知	不小于30	μ₁, β

方法	标准号
	MIL-STD-471	MIL-STD-471A		MIL-STD-471A(修订版) MIL-HDBK-471 MIL-HDBK-470A			IEC 60706-3 GB/T 9414.3-2012			GJB 2072 QJ 3213-2005
	2	1-A	1-B	1-A	1-B	9	1	2	3	1-A	1-B	9
控制第1类风险	—	√		√		—	√			√		—
控制第2类风险	√	√		√			√			√
最小样本量要求	√(50)	√(30)		√(30)			√(30)		√(50)	√(30)

Review on research of equipment mean time to repair demonstration methods

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发布时间	标准号	标准名称	发布机构
1994	GJB 2072	《维修性试验与评定》	国防科学技术工业委员会
1995	HB 7177	《军用飞机可靠性维修性外场验证》	中国航空工业总公司
2005	QJ 3213	《航天产品维修性设计与验证指南》	国防科学技术工业委员会
2012	GB/T 9414.3	《维修性第3部分:验证和数据的收集、分析与表示》	国家质量监督检验检疫总局国家标准化管理委员会

校本类别	标准号
	MIL-STD-471		MIL-STD-471A		MIL-STD-471A(修订版) MIL-HDBK-471 MIL-HDBK-470A				IEC 60706-3 GB/T 9414.3-2012			GJB 2072 QJ 3213-2005
	1	2	1-A	1-B	1-A	1-B	8	9	1	2	3	1-A	1-B	8	9
小样本	√	—	—	—	—	—	√	—	—	—	—	√	—	√	—
大样本	—	√	√	√	√	√	—	√	√	√	√	—	√	—	√

[1]	LEI Hua-jun,QIN Kai-yu. Bayesian method for determination of testability demonstration test scheme [J]. Journal of Systems Engineering and Electronics, 2012, 34(12): 2612-2616.
[2]	PENG Bao-hua，ZHOU Jing-lun，SUN Quan，FENG Jing，JIN Guang. Residual lifetime prediction of products based on fusion of degradation data and lifetime data [J]. Journal of Systems Engineering and Electronics, 2011, 33(5): 1073-.