Browse > Article
http://dx.doi.org/10.5351/CKSS.2011.18.3.277

Warranty Analysis Based on Different Lengths of Warranty Periods  

Park, Min-Jae (Department of Industrial and Systems Engineering, Rutgers University)
Publication Information
Communications for Statistical Applications and Methods / v.18, no.3, 2011 , pp. 277-286 More about this Journal
Abstract
Global companies can sell their products with dierent warranty periods based on location and times. Customers can select the length of warranty on their own if they pay an additional fee. In this paper, we consider the warranty period and the repair time limit as random variables. A two-dimensional warranty policy is considered with repair times and failure times. The repair times are considered within the repair time limit and the failure times are considered within the warranty period. Under the non-renewable warranty policy, we obtain the expected number of warranty services and their variances in the censored area by warranty period and repair time limit to conduct a warranty cost analysis. Numerical examples are discussed to demonstrate the applicability of the methodologies and results using field data based on the proposed approach in the paper.
Keywords
Random variable; non-renewable warranty; two-dimensional warranty; warranty period;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Safety and Operational Status of Nuclear Power Plants in Korea (2008). Annual Report, Korea Institute of Nuclear Safety, 9.
2 Kundu, D. and Dey, A. (2009). Estimating the parameters of the Marshall-Olkin bivariate Weibull distribution by EM algorithm, Computational Statistics and Data Analysis, 53, 956-965.   DOI   ScienceOn
3 Marshall, A. and Olkin, I. (1967). A multivariate exponential distribution, Journal of the American Statistical Association, 62, 30-44.   DOI
4 McLeod, A. I. (2005). Kendall rank correlation and Mann-Kendall trend test, R Package "Kendall", http://cran.r-project.org/web/packages/Kendall.
5 Nachlas, J. (2005). Reliability Engineering: Probabilistic Models and Maintenance Methods, CRC Press.
6 Operational Performance Information System for Nuclear Power Plant, http://opis.kins.re.kr/index.jsp?Lan=US.
7 Raftery, A. (1984). A continuous multivariate exponential distribution, Communications in Statistics - Theory and methods, 13, 947-965.   DOI   ScienceOn
8 Downton, F. (1970). Bivariate exponential distributions in reliability theory, Journal of the Royal Statistical Society, Series B, (Methodological), 32, 408-417.
9 Freund, J. (1961). A bivariate extension of the exponential distribution, Journal of the American Statistical Association, 971-977.
10 Hunter, J. J. (1974). Renewal theory in two dimensions: Basic results, Advances in Applied Probability, 6, 376-391.   DOI   ScienceOn
11 Iskandar, B., Murthy, D. and Jack, N. (2005). A new repair-replace strategy for items sold with a two-dimensional warranty, Computers and Operations Research, 32, 669-682.   DOI   ScienceOn
12 Kotz, S. and Singpurwalla, N. (1999). On a bivariate distribution with exponential marginals, Scandinavian Journal of Statistics, 26, 451-464.   DOI
13 Chen, T. and Popova, E. (2002). Maintenance policies with two-dimensional warranty, Reliability Engineering and System Safety, 77, 61-69.   DOI   ScienceOn
14 Blischke, W. (1994). Warranty Cost Analysis, CRC Press.
15 Blischke, W. and Murthy, D. (1996). Product Warranty Handbook, CRC Press.
16 Block, H. and Basu, A. (1974). A continuous bivariate exponential extension, Journal of the American Statistical Association, 69, 1031-1037.   DOI
17 Chukova, S. and Johnston, M. (2006). Two-dimensional warranty repair strategy based on minimal and complete repairs, Mathematical and Computer Modelling, 44, 1133-1143.   DOI   ScienceOn
18 Chun, Y. and Tang, K. (1999). Cost analysis of two-attribute warranty policies based on the product usage rate, IEEE Transactions on Engineering Management, 46, 201-209.   DOI   ScienceOn