Reliability assessment based on two-dimensional warranty data and an accelerated failure time model

International Journal of Reliability and Safety

Volumn 2, Issue 3, 2008, Pages 190-208

  Baik, Jaiwook ^a   Prabhakar Murthy, D N ^b  

^a Korea National Open University   (South Korea)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Accelerated failure time; Reliability assessment; Two dimensional warranty data

Indexed keywords

TESTING;

ACCELERATED FAILURE TIME MODELS; ACCELERATED LIFE TESTS; COMPONENT RELIABILITY; FAILURE TIME; RELIABILITY ASSESSMENTS; RELIABILITY-BASED; TWO-DIMENSIONAL WARRANTY;

RELIABILITY ANALYSIS;

EID: 54049093738     PISSN: 1479389X     EISSN: 14793903     Source Type: Journal    
DOI: 10.1504/IJRS.2008.021064     Document Type: Article

References (44)

1. Ahn, C.W., Chae, K.C. and Clark, G.M. (1998) 'Estimating parameters of the Power law process with two measures of failure time', Journal of Quality Technology, Vol. 30, pp.127-132.
2. Baik, J., Murthy, D.N.P. and Jack, N. (2004) 'Two-dimensional failure modelling and minimal repair', Naval Research Logistics, Vol. 51, pp.345-362 (published online: 30 Dec. 2003).
3. Baik, J., Murthy, D.N.P. and Jack, N. (2006) 'Erratum: Two-dimensional failure modelling with minimal repair', Naval Research Logistics, Vol. 53, pp.115-116.
4. Barlow, R.E. and Hunter, L. (1960) 'Optimum preventive maintenance policies', Operations Research, Vol. 8, pp.91-100.
5. Blischke, W.R. and Murthy, D.N.P. (1994) Warranty Cost Analysis, New York: Marcel Dekker, Inc.
6. Blischke, W.R. and Murthy, D.N.P. (Eds) (1996) Product Warranty Handbook, New York: Marcel Dekker, Inc.
7. Blischke, W.R. and Murthy, D.N.P. (2000), Reliability, New York: Wiley.
8. Chun, Y.H. and Tang, K. (1999) 'Cost analysis of two-attribute warranty policies based on the product usage rate', IEEE Transactions in Engineering Management, Vol. 46, pp.201-209.
9. Duchesne, T. and Lawless, J.F. (2000) 'Alternate time scales and failure time models', Lifetime Data Analysis, Vol. 6, pp.157-179.
10. Gertsbakh, I.B. and Kordonsky, H.B. (1998) 'Parallel time scales and two-dimensional manufacturer and individual customer warranties', IIE Transactions, Vol. 30, pp.1181-1189.
11. Hu, X.J. and Lawless, J.F. (1996a) 'Estimation of rate and mean functions from truncated recurrent event data', Journal of the American Statistical Association, Vol. 91, pp.300-310.
12. Hu, X.J. and Lawless, J.F. (1996b) 'Estimation from truncated lifetime data with supplementary information on covariates and censoring times', Biometrika, Vol. 83, pp.747-761.
13. Hu, X.J., Lawless, J.F. and Suzuki, K. (1998) 'Nonparametric estimation of lifetime distribution when censoring times are missing', Technometrics, Vol. 40, pp.3-13.
14. Hunter, J.J. (1974) 'Renewal theory in two dimensions: Basic results', Advances in Applied Probability, Vol. 6, 376-391.
15. Iskandar, B.P. and Blischke, W.R. (2003) 'Reliability and warranty analysis of a motorcycle based on claims data', in W.R. Blischke and D.N.P. Murthy (Eds), Case Studies in Reliability and Maintenance, Wiley, pp.623-656.
16. Iskandar, B.P., Wilson, R.J. and Murthy, D.N.P. (1994) 'Two-dimensional combination warranty policies', Recherche Operationnelle, Vol. 28, pp.57-75.
17. Jung, M. and Bai, D.S. (2007) 'Analysis of field data under two-dimensional warranty', Reliability Engineering and System Safety Vol. 92, pp.135-143.
18. Kalbfleisch, J.D. and Lawless, J.F. (1996) 'Statistical analysis of warranty claims data', in W.R. Blischke and D.N.P. Murthy (Eds), Product Warranty Handbook, New York: Marcel Dekker.
19. Karim, M.R. and Suzuki, Y. (2005) 'Analysis of warranty claim data: A literature review', International Journal of Quality & Reliability Management, Vol. 22, pp.667-686.
20. Kim, H.G. and Rao, B.M. (2000) 'Expected warranty cost of two-attribute free-replacement warranties based on a bivariate exponential distribution', Computers & Industrial Engineering, Vol. 38, pp.425-434.
21. Kordonsky, K.B. and Gertsbakh, I. (1993) 'Choice of best time scale for reliability analysis', European Journal of Operational Research, Vol. 65, pp.235-246.
22. Kordonsky, K.B. and Gertsbakh, I. (1995a) 'System state monitoring and lifetime scales I', Reliability Engineering and System Safety, Vol. 47, pp.1-14.
23. Kordonsky, K.B. and Gertsbakh, I. (1995b) 'System state monitoring and lifetime scales II', Reliability Engineering and System Safety, Vol. 49, pp.145-154.
24. Lawless, J.F. (1982) Statistical Models and Methods for Lifetime Data New York: Wiley.
25. Lawless, J.F. (1998) 'Statistical analysis of product warranty data', International Statistical Review, Vol. 66, pp.41-60 (survey).
26. Lawless, J.F. and Kalbfleisch, J.D. (1992) 'Some issues in the collection and analysis of field reliability data', in J.P. Klein, and P.K Goel (Eds), Survival Analysis: State of the Art, Amsterdam: Kluwer.
27. Lawless, J.F., Hu, J. and Cao, J. (1995) 'Methods for the estimation of failure distributions and rates from automobile warranty data', Lifetime Data Analysis, Vol. 1, pp.227-240.
28. Manna, D.K., Pal, S. and Sinha, S. (2007) 'A use-rate based failure model for two-dimensional warranty, Computers & Industrial Engineering, Vol. 52, pp.229-240.
29. Moskowitz, H. and Chun, Y.H. (1994) 'A Poisson regression model for two-attribute warranty policies', Naval Research Logistics, Vol. 41, pp.355-376.
30. Moskowitz, H. and Chun, Y.H. (1996) 'Two-dimensional free-replacement warranties', in W.R. Blischke, and D.N.P. Murthy (Eds), Product Warranty Handbook, New York: Marcel Dekker.
31. Murthy, D.N.P. and Wilson, R.J. (1991) 'Modelling two-dimensional failure free warranties', Proceedings of the Fifth Symposium on Applied Stochastic Models and Data Analysis, Granada, Spain, pp.481-492.
32. Murthy, D.N.P, Baik, J., Wilson, R.J. and Bulmer, M. (2006), Two-dimensional Failure Modelling, Chapter 5 in H. Pham (Ed.), Springer Handbook of Engineering Statistics, London: Springer-Verlag.
33. Murthy, D.N.P., Iskandar, B.P. and Wilson, R.J. (1995) 'Two-dimensional failure free warranty policies: Two-dimensional point process model', Operations Research, Vol. 43, pp.356-366.
34. Nelson, W. (1990) Accelerated Testing: Statistical Models, Test Plans and Data Analysis, New York: Wiley.
35. Pal, S. and Murthy, G.S.R. (2003) 'An application of Gumbel's bivariate exponential distribution in estimation of warranty cost of motorcycles', International Journal of Quality and Reliability Management, Vol. 20, pp.488-502.
36. Rai, B. and Singh, N. (2005) 'A modeling framework for assessing the impact of new time/mileage warranty limits on the number and cost of automotive warranty claims', Reliability Engineering and System Safety, Vol. 88, pp.157-169.
37. Singpurwalla, N.D. and Wilson, S.P. (1998) 'Failure models indexed by two scales', Advanced Applied Probability, Vol. 30, pp.1058-1072.
38. Suzuki, K. (1985a) 'Estimation of lifetime parameters from incomplete field data', Technometrics, Vol. 27, pp.263-271.
39. Suzuki, K. (1985b) 'Non-parametric estimation of lifetime distributions from a record of failures and follow-ups', Journal of the American Statistical Association, Vol. 80, pp.68-72.
40. Suzuki, K. (1993) 'Estimation of usage lifetime distribution from calendar lifetime data', Rep. Stat. Appl. Res., JUSE, Vol. 40, pp.10-22.
41. Suzuki, K. (1995) 'Role of field performance data and its analysis', in N. Balakrishnan (Ed.), Recent Advances in Life-Testing and Reliability, Boca Raton: CRC Press.
42. Suzuki, K., Karim, M.R. and Wang, L. (2001) 'Statistical analysis of reliability warranty data', in N. Balakrishnan, and C.R. Rao (Eds), Handbook of Statistics, Amsterdam: Elsevier Science.
43. Yang, G and Zaghati, Z. (2002) 'Two-dimensional reliability modeling from warranty data', Proceedings of the Annual Reliability and Maintainability Symposium, pp.272-278.
44. Yang, S.C. and Nachlas, J.A. (2001) 'Bivariate reliability and availability modelling', IEEE Transactions on Reliability, Vol. 50, pp.26-35.