Sequential degradation-based burn-in test with multiple periodic inspections

doi:10.1007/s42524-021-0166-0

Front. Eng

2021, Vol. 8

Issue (4) : 519-530 https://doi.org/10.1007/s42524-021-0166-0

RESEARCH ARTICLE

Sequential degradation-based burn-in test with multiple periodic inspections

Jiawen HU¹, Qiuzhuang SUN²(

), Zhi-Sheng YE², Xiaoliang LING³

¹. Department of Industrial Systems Engineering and Management, National University of Singapore, Singapore 119077, Singapore; School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China
². Department of Industrial Systems Engineering and Management, National University of Singapore, Singapore 119077, Singapore; National University of Singapore Suzhou Research Institute, Suzhou 215000, China
³. College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China

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Abstract

Burn-in has been proven effective in identifying and removing defective products before they are delivered to customers. Most existing burn-in models adopt a one-shot scheme, which may not be sufficient enough for identification. Borrowing the idea from sequential inspections for remaining useful life prediction and accelerated lifetime test, this study proposes a sequential degradation-based burn-in model with multiple periodic inspections. At each inspection epoch, the posterior probability that a product belongs to a normal one is updated with the inspected degradation level. Based on the degradation level and the updated posterior probability, a product can be disposed, put into field use, or kept in the test till the next inspection epoch. We cast the problem into a partially observed Markov decision process to minimize the expected total burn-in cost of a product, and derive some interesting structures of the optimal policy. Then, algorithms are provided to find the joint optimal inspection period and number of inspections in steps. A numerical study is also provided to illustrate the effectiveness of our proposed model.

Keywords burn-in degradation multiple inspections Wiener process partially observed Markov decision process

Corresponding Author(s): Qiuzhuang SUN

Just Accepted Date: 12 July 2021 Online First Date: 11 August 2021 Issue Date: 01 November 2021

Cite this article:

Jiawen HU,Qiuzhuang SUN,Zhi-Sheng YE, et al. Sequential degradation-based burn-in test with multiple periodic inspections[J]. Front. Eng, 2021, 8(4): 519-530.

URL:

https://academic.hep.com.cn/fem/EN/10.1007/s42524-021-0166-0
https://academic.hep.com.cn/fem/EN/Y2021/V8/I4/519

Fig.1

Fig.2 Flowchart of the proposed burn-in test.

Fig.3 Optimal action at each inspection epoch (, , and indicate “dispose”, “keep in the test”, and “put into field use”, respectively).

$π 0$	Proposed model		Model OS		Model OP
$π 0$	$(δ , N )$	C	$(T OS , X OS )$	C_OS	T_OP	C_OP
0.7	(0.8235, 4)	−16.1169	(1.1916, 3.3791)	−10.3925	1.4135	−13.0565
0.8	(0.7451, 4)	−28.3120	(0.9708, 3.0191)	−21.8842	1.1395	−23.7110
0.9	NA	−43.7135	(0.4829, 2.0321)	−38.8970	NA	−43.7135

Tab.1 Sensitivity study on

π 0

$µ 1$	Proposed model		Model OS		Model OP
$µ 1$	$(δ , N )$	C	$(T OS , X OS )$	C_OS	T_OP	C_OP
1.0	(5.9782, 4)	−67.6575	(3.8309, 9.8084)	−68.6076	6.8135	−67.6110
2.0	(0.7451, 4)	−28.3120	(0.9708, 3.0191)	−21.8842	1.1395	−23.7110
2.2	(0.3023, 4)	28.7240	(0.5125, 4.0231)	33.7341	0.3245	29.7630

Tab.2 Sensitivity study on

µ 1

$σ$	Proposed model		Model OS		Model OP
$σ$	$(δ , N )$	C	$(T OS , X OS )$	C_OS	T_OP	C_OP
0.5	(0.6353, 4)	−66.0352	(1.2538, 3.8409)	−65.8514	0.6532	−62.2863
1.0	(0.7451, 4)	−28.3120	(0.9708, 3.0191)	−21.8842	1.1395	−23.7110
1.5	(0.8011, 3)	9.3966	(0.9215, 2.4026)	11.1035	1.2125	11.0775

Tab.3 Sensitivity study on

σ

Fig.4 Optimal action at each inspection epoch (, , and indicate “dispose”, “keep in the test”, and “put into field use”, respectively).

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