A criterion for burn-in that balances mean residual life and residual variance

成果类型:
Article
署名作者:
Block, HW; Savits, TH; Singh, H
署名单位:
Pennsylvania Commonwealth System of Higher Education (PCSHE); University of Pittsburgh; West Virginia University; Panjab University
刊物名称:
OPERATIONS RESEARCH
ISSN/ISSBN:
0030-364X
DOI:
10.1287/opre.50.2.290.435
发表日期:
2002
页码:
290-296
关键词:
摘要:
Optimum burn-in times have been determined for a variety of criteria such as mean residual life and conditional survival. In this paper we consider a residual coefficient of variation that balances mean residual life with residual variance. To study this quantity, we develop a general result concerning the preservation of bathtub distributions. Using this result, we give a condition so that the residual coefficient of variation is bathtub-shaped. Furthermore, we show that it attains its optimum value at a time that occurs after the mean residual life function attains its optimum value, but not necessarily before the change point of the failure rate function.