IJPAM: Volume 47, No. 1 (2008)

OPTIMAL BURN-IN TIME UNDER
LIFETIME WARRANTY POLICIES

Wang Hongqing$^1$, Da Gaofeng$^2$
$^1$Training Division
Jingzhong Commanding College of CAPF
Beijing, P.R. CHINA
e-mail: wanghq_2005@lzu.cn
$^2$School of Mathematics and Statistics
Lanzhou University
Lanzhou, 730070, P.R. CHINA
e-mail: dagf05@lzu.cn


Abstract.Lifetime warranty is relatively a new concept. It has significant difference with normal warranty. In this paper, the optimal burn-in time to minimize the total mean cost of repairable and nonrepairable products under two typical lifetime warranties (FRLTW and LICLTW) is studied. We assume that the product before undergoing the burn-in procedure has a bathtub shaped failure rate function with change points $t_1$ and $t_2$. It is shown that the optimal burn-in time $b^*$ minimizing the cost function is always before $t_1$.

Received: May 3, 2008

AMS Subject Classification: 60E15, 60K10

Key Words and Phrases: burn-in, lifetime warranty, FRLTW, LICLTW, bathtub failure rate

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1