A multi-criteria optimal replacement policy for a system subject to shocks

作者：Chang Chin Chih; Sheu Shey Huei^*; Chen Yen Luan; Zhang Zhe George

来源：Computers & Industrial Engineering, 2011, 61(4): 1035-1043.

DOI：10.1016/j.cie.2011.06.017

• Optimal maintenance
• Minimal repair
• Replacement policy
• Cumulative repair-cost limit

A system is subject to shocks that arrive according to a non-homogeneous Poisson process. As these shocks occur, the system experiences one of two types of failures: a type-I failure (minor), rectified by a minimal repair; or a type-II failure (catastrophic) that calls for a replacement. In this study, we consider a multi-criteria replacement policy based on system age, nature of failure, and entire repair-cost history. Under such a policy, the system is replaced at planned life time T, or at the nth type-I failure, or at the kth type-I failure (k < n) at which the accumulated repair cost exceeds the pre-determined limit, or at the first type-II failure, whichever occurs first. An optimal policy over the control parameters is studied analytically by showing its existence, uniqueness, and structural properties. This model is a generalization of several existing models in the literature. Some numerical examples are presented to show several useful insights.

• 出版日期2011-11