Product warranty: Modelling with 2D-renewal process

被引:7
作者
Dinu, Corbu [1 ]
Stefanka, Chukova [2 ]
Jason, O'Sullivan [2 ]
机构
[1] Key Center for Ethics, Griffith University, Brisbane, QLD
[2] School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, Wellington
关键词
2D-renewal process; Two-dimensional renewal function; Warranty cost analysis;
D O I
10.1504/IJRS.2008.021065
中图分类号
学科分类号
摘要
The study of product warranty is of interest to manufacturers for several reasons. Paid claims are a cost of doing business and a liability incurred by the manufacturer at the time of sale. For these reasons, estimating and forecasting warranty expenses is of interest. Also, warranty data provides information about the durability of products in the field and, therefore, is of interest to engineers. Here we emphasise two-dimensional warranties, like automotive warranties, that guarantee free repairs subject to both age and mileage limits. We aim to evaluate the average warranty expenses under a two-dimensional non-renewing free replacement warranty policy using real warranty data. We derive a numerical procedure for the evaluation of the two-dimensional renewal function and use it for the warranty cost analysis. In addition, we test whether the available data can be considered as coming from a two-dimensional renewal process. Copyright © 2008, Inderscience Publishers.
引用
收藏
页码:209 / 220
页数:11
相关论文
共 7 条
[1]  
Ascher H., Feingold H., Repairable System Reliability, (1984)
[2]  
Blischke W.R., Murthy D.N.P., Product Warranty Handbook, (1996)
[3]  
Gieser J.J., Randles R.H., A nonparametric test of independence between two vectors, Journal of the American Statistical Association, 92, 438, pp. 561-567, (1997)
[4]  
Gnedenko B.V., Belyayev Y.K., Solovyev A.D., Mathematical Methods of Reliability Theory, (1969)
[5]  
Hunter J.J., Renewal theory in two dimensions: Basic results, Adv. Appl. Prob, 6, pp. 376-391, (1974)
[6]  
Murthy D.N.P., Iskandar B.P., Wilson R.J., Two-dimensional failure-free warranty policies: Two-dimensional point process models, Operations Research, 43, 2, pp. 356-366, (1995)
[7]  
Xie M., On the solution of renewal-type integral equations, Communications in Statistics - Simulation, 18, pp. 281-293, (1989)