A note on replacement policy for a system subject to non-homogeneous pure birth shocks

作者：Sheu Shey Huei^*; Chang Chin Chih; Zhang Zhe George; Chien Yu Hung

来源：European Journal of Operational Research, 2012, 216(2): 503-508.

DOI：10.1016/j.ejor.2011.07.056

• Maintenance
• Optimization
• Reliability
• Repair
• Age replacement
• Birth process

A system is subject to shocks that arrive according to a non-homogeneous pure birth process. As shocks occur, the system has two types of failures. Type-I failure (minor failure) is removed by a general repair, whereas type-II failure (catastrophic failure) is removed by an unplanned replacement. The occurrence of the failure type is based on some random mechanism which depends on the number of shocks occurred since the last replacement. Under an age replacement policy, a planned (or scheduled) replacement happens whenever art operating system reaches age T. The aim of this note is to derive the expected cost functions and characterize the structure of the optimal replacement policy for such a general setting. We show that many previous models are special cases of our general model. A numerical example is presented to show the application of the algorithm and several useful insights.

• 出版日期2012-1-16