Age replacement policy with lead-time for a system subject to non-homogeneous pure birth shocks

作者：Sheu Shey Huei; Zhang Zhe George^*; Chien Yu Hung; Huang Tsun Hung

来源：Applied Mathematical Modelling, 2013, 37(14-15): 7717-7725.

DOI：10.1016/j.apm.2013.03.017

• Maintenance
• Replacement
• Repair
• Pure birth process
• Lead time
• Shock model
• Optimization

A system is subject to shocks that arrive according to a non-homogeneous pure birth process. Whenever a shock occurs, the system enters one of the two types of failure states. Type I failure (minor failure) is fixed by a minimal repair. Type II failure (catastrophic failure) is removed by a replacement. We consider an age replacement policy which replaces the system whenever its age reaches T and a spare for replacement is available. The optimal cost minimization age T* is derived under a cost structure. We demonstrate that this model includes more realistic factors and is a generalization of several previous models in the literature.

• 出版日期2013-8-1