Reliability Analysis of Repairable Systems With Incomplete Failure Time Data

Wujun Si; Qingyu Yang; Leslie Monplaisir; Yong Chen

doi:10.1109/TR.2018.2832022

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Reliability Analysis of Repairable Systems With Incomplete Failure Time Data

Journal article

Open access

Reliability Analysis of Repairable Systems With Incomplete Failure Time Data

Wujun Si, Qingyu Yang, Leslie Monplaisir and Yong Chen

IEEE transactions on reliability, Vol.67(3), pp.1043-1059

09/2018

DOI: 10.1109/TR.2018.2832022

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Abstract

Reliability analysis of repairable systems has been widely conducted based on collected information such as the systems' failure counting processes. In many real-life situations, the failure counting processes may not be completely observed when some failure times are not recorded or missing due to various practical reasons. In the literature, only a limited number of reliability studies focus on missing failure time data for repairable systems with an assumption that the system repair is either perfect or minimal. When the repair effect is general as in many real-world situations, challenges arise for reliability analysis in that the observed and unobserved failure times are statistically dependent in a complex manner, and the time censoring problem becomes unconventional. In this paper, to overcome these challenges, we propose a reliability model for repairable systems with incomplete failure time data under general repair. The proposed model is suitable for modeling both a single system and multiple systems subject to failure heterogeneity. A maximum likelihood estimation method is developed to estimate the model parameters. Based on the proposed model, statistical inference of the missing times is developed. Simulation and real-life case studies are conducted to verify the developed methods.

Covariates

Degradation

failure counting process

failure heterogeneity

Gamma distribution

general repair

inverse Gaussian (IG)

Maintenance engineering

Maximum likelihood estimation

missing data

Reliability

Statistical analysis

time censoring

Details

Title: Subtitle: Reliability Analysis of Repairable Systems With Incomplete Failure Time Data
Creators: Wujun Si - Wayne State University
Qingyu Yang - Wayne State University
Leslie Monplaisir - Wayne State University
Yong Chen - University of Iowa
Resource Type: Journal article
Publication Details: IEEE transactions on reliability, Vol.67(3), pp.1043-1059
Publisher: IEEE
DOI: 10.1109/TR.2018.2832022
ISSN: 0018-9529
eISSN: 1558-1721
Grant note: Wayne State University (10.13039/100006710) CMMI-1404276 / National Science Foundation (10.13039/501100008982)
Language: English
Date published: 09/2018
Academic Unit: Industrial and Systems Engineering
Record Identifier: 9984186955802771

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