Aging Change Point of Lognormal Distribution and its Implications

Abstract:

Several life measures are defined in the literature. This paper deals with defining a service life measure for a component with lognormal life. It is proposed to set the service life at the inflection of the failure rate function. The service life defined in such a way is a function of the shape parameter. This implies that the shape parameter reflects the product quality. Based on the value of the shape parameter, the component quality can be classified and the component can have different quality improvement or maintenance strategy.

• Periodical: Advanced Materials Research (Volumes 118-120)
• Pages: 439-443
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.118-120.439
• Online since: June 2010
• Authors: R. Jiang
• Keywords: Change Point, Failure Rate, Lognormal Distribution, Product Quality, Service Life

References

[1] S. Jordan, A comprehensive review of the lognormal failure distribution with application to LED reliability, Microelectronics and Reliability, 1978, 18(3), P. 267 - 279.

DOI: 10.1016/0026-2714(78)90331-1

[2] Y. X. Zhao, Q. Gao, J. N. Wang, An approach for determining an appropriate assumed distribution of fatigue life under limited data, Reliability Engineering & System Safety, 2000, 67(1), P. 1 - 7.

DOI: 10.1016/s0951-8320(99)00036-8

[3] T. D. Righiniotis, Simplified calculations involving the maximum load on bridge fatigue details under inspection. Part II: Fatigue, Journal of Constructional Steel Research, 2004, 60(6), P. 825 - 839.

DOI: 10.1016/j.jcsr.2003.11.003

[4] P. F. Marques, A. Costa, Service life of RC structures: Carbonation induced corrosion. Prescriptive vs. performance-based methodologies, Construction and Building Materials, in press.

DOI: 10.1016/j.conbuildmat.2009.08.039

[5] R. Jiang, P. Ji, and X. Xiao, Aging property of unimodal failure rate models, Reliability Engineering and System Safety, 2003, 79(1), P. 113 - 116.

DOI: 10.1016/s0951-8320(02)00175-8

[6] A. K. S. Jardine, A. H. C. Tsang, Maintenance, Replacement, and Reliability: Theory and Application, Taylor & Francis: New York, (2005).

[7] C. Clarotti, A. Lannoy, S. Odin, H. Procaccia, Detection of equipment aging and determination of the efficiency of a corrective measure, Reliability Engineering and System Safety, 2004, 84, P. 57-64.

DOI: 10.1016/j.ress.2004.01.005

[8] R. C. Gupta, N. Kannan, A. Raychaudhuri, Analysis of lognormal survival data, Mathematical Biosciences, 1997, 139(2), P. 103 - 115.

DOI: 10.1016/s0025-5564(96)00133-2

[9] D. S. Chang, Optimal burn-in decision for products with a unimodal failure rate function, European Journal of Operational Research, 2000, 126(3), P. 534 - 540.

DOI: 10.1016/s0377-2217(99)00308-2