Journal of Applied Mathematics
Volume 2012 (2012), Article ID 717184, 13 pages
http://dx.doi.org/10.1155/2012/717184
Research Article

Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan

Ching-Wen Hong,1 Wen-Chuan Lee,2 and Jong-Wuu Wu3

1Department of Information Management, Shih Chien University, Kaohsiung Campus, Kaohsiung 84550, Taiwan
2Department of International Business, Chang Jung Christian University, Tainan 71101, Taiwan
3Department of Applied Mathematics, National Chiayi University, Chiayi City 60004, Taiwan

Received 31 January 2012; Accepted 6 March 2012

Academic Editor: Vu Phat

Copyright © 2012 Ching-Wen Hong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index 𝐶 𝐿 is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of 𝐶 𝐿 with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of 𝐶 𝐿 is then utilized to develop a new hypothesis testing procedure in the condition of known L.