Open Access
ARTICLE
Parameter Estimation Based on Censored Data under Partially Accelerated Life Testing for Hybrid Systems due to Unknown Failure Causes
Mustafa Kamal*
Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Dammam, 32256, Saudi
Arabia
* Corresponding Authors:Mustafa Kamal. Email: ;
Computer Modeling in Engineering & Sciences 2022, 130(3), 1239-1269. https://doi.org/10.32604/cmes.2022.017532
Received 18 May 2021; Accepted 11 October 2021; Issue published 30 December 2021
Abstract
In general, simple subsystems like series or parallel are integrated to produce a complex hybrid system. The
reliability of a system is determined by the reliability of its constituent components. It is often extremely difficult or
impossible to get specific information about the component that caused the system to fail. Unknown failure causes
are instances in which the actual cause of system failure is unknown. On the other side, thanks to current advanced
technology based on computers, automation, and simulation, products have become incredibly dependable and
trustworthy, and as a result, obtaining failure data for testing such exceptionally reliable items have become a very
costly and time-consuming procedure. Therefore, because of its capacity to produce rapid and adequate failure data
in a short period of time, accelerated life testing (ALT) is the most utilized approach in the field of product reliability
and life testing. Based on progressively hybrid censored (PrHC) data from a three-component parallel series hybrid
system that failed to owe to unknown causes, this paper investigates a challenging problem of parameter estimation
and reliability assessment under a step stress partially accelerated life-test (SSPALT). Failures of components are
considered to follow a power linear hazard rate (PLHR), which can be used when the failure rate displays linear,
decreasing, increasing or bathtub failure patterns. The Tempered random variable (TRV) model is considered to
reflect the effect of the high stress level used to induce early failure data. The maximum likelihood estimation
(MLE) approach is used to estimate the parameters of the PLHR distribution and the acceleration factor. A variance
covariance matrix (VCM) is then obtained to construct the approximate confidence intervals (ACIs). In addition,
studentized bootstrap confidence intervals (ST-B CIs) are also constructed and compared with ACIs in terms of
their respective interval lengths (ILs). Moreover, a simulation study is conducted to demonstrate the performance
of the estimation procedures and the methodology discussed in this paper. Finally, real failure data from the
air conditioning systems of an airplane is used to illustrate further the performance of the suggested estimation
technique.
Keywords
Cite This Article
Kamal, M. (2022). Parameter Estimation Based on Censored Data under Partially Accelerated Life Testing for Hybrid Systems due to Unknown Failure Causes.
CMES-Computer Modeling in Engineering & Sciences, 130(3), 1239–1269.
Citations