考虑专家信息的威布尔型产品定时截尾可靠性验收试验方案设计

doi:10.12305/j.issn.1001-506X.2022.04.40

Abstract

Abstract:

The reliability acceptance test is to check whether the product meets the reliability requirement. It is essential to choose a test plan with controllable customer's and producer's risks. However, the reliability acceptance test adopted from GJB899A oftentimes leads to either long test duration or high customer's and producer's risks, which hinds its real-world application. The primary reason lies in that, only the test data collected from the systems are taken into account, whereas the information from experts is ignored. Considering there are various types of expert information and the system life follows the Weibull distribution, the two types of risks of the product can be calculated. Then the test plan with shorter test time and controllable risks can be determined. The proposed method is applied to a numerical case study and the results verify the effectiveness of the method.

Key words: Weibull distribution, expert information, producer's risk, customer's risk, reliability acceptance test

CLC Number:

TN306

Yao TAN, Qian ZHAO, Wenfeng WANG, Bo GUO, Ping JIANG. Type I censored reliability acceptence test plan for Weibull distributed products by considering expert information[J]. Systems Engineering and Electronics, 2022, 44(4): 1409-1416.

Figures/Tables 5

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Table 1

Table 2

Table 3

References 21

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验收方案序号	α	β	接收产品最大故障数C	投入试验样本数n	T/h	α+β
GJB899A	0.100 0	0.100 0	14	15	6 787	0.200 0
1	0.018 9	0.005 8	8	20	7 220	0.024 7
2	0.014 4	0.009 1	8	19	6 859	0.023 5
3	0.010 5	0.014 1	8	18	6 498	0.024 6
4	0.019 3	0.009 2	7	17	6 137	0.028 5
5	0.014 7	0.014 2	7	16	5 776	0.028 9
6	0.011 2	0.021 7	7	15	5 415	0.032 9
7	0.020 7	0.014 1	6	14	5 054	0.034 8
8	0.015 6	0.022 4	6	13	4 693	0.038 0
9	0.031 9	0.013 5	5	12	4 332	0.045 4
10	0.023 1	0.022 8	5	11	3 971	0.045 9
11	0.048 8	0.012 7	4	10	3 610	0.061 5
12	0.034 6	0.022 9	4	9	3 249	0.057 5
13	0.024 4	0.040 8	4	8	2 888	0.065 2
14	0.059 2	0.023 1	3	7	2 527	0.082 3
15	0.039 5	0.043 8	3	6	2 166	0.083 3
16	0.024 2	0.084 5	3	5	1 805	0.108 7
17	0.079 0	0.046 2	2	4	1 444	0.125 2

验收方案序号	α	β	接收产品最大故障数C	投入试验样本数n	T/h	α+β
GJB899A	0.100 0	0.100 0	6	7	2 232	0.200 0
1	0.012 2	0.031 2	4	10	2 400	0.043 4
2	0.033 7	0.014 6	3	9	2 160	0.048 3
3	0.025 3	0.027 7	3	8	1 920	0.053 0
4	0.017 9	0.051 9	3	7	1 680	0.069 8
5	0.066 4	0.022 8	2	6	1 440	0.089 2
6	0.047 1	0.047 3	2	5	1 200	0.094 4
7	0.031 2	0.098 2	2	4	960	0.129 4

专家信息	试验方案(T, n, C)	α	β
GJB899A	(9 930, 20, 19)	0.066 7	0.057 5
0.956 8^*	(7 220, 20, 11)	0.001 1	0.055 1
0.956 8^*	(7 220, 20, 10)	0.003 1	0.030 0
0.956 8^*	(7 220, 20, 9)	0.008 1	0.014 1
0.956 8^*	(7 220, 20, 8)	0.018 9	0.005 8
0.97	(7 220, 20, 9)	0.012 2	0.009 8
0.9	(7 220, 20, 9)	0.015 4	0.007 1
0.8	(7 220, 20, 10)	0.008 1	0.007 7
0.7	(7 220, 20, 10)	0.008 2	0.005 1
0.6	(7 220, 20, 10)	0.008 5	0.003 6
0.55	(7 220, 20, 11)	0.004 8	0.004 4

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Type I censored reliability acceptence test plan for Weibull distributed products by considering expert information

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