 |
International Society of Science and Applied Technologies |
| Optimal Replacement Policies of a System Subject to Shocks with a One Cycle Criterion | ||||
| Author |
Wei-Teng Sheu
|
|||
| Co-Author(s) |
Shey-Huei Sheu; Tsun-Hung Huang
|
|||
| Abstract | In the literature, age replacement policies are predominantly based on the renewal reward theorem, which assumes an infinite operational horizon. However, a one-cycle criterion is often more appropriate for systems operating in environments with rapidly changing technology or short product lifecycles. This paper studies an optimal age replacement policy based on a one-cycle criterion, where the system is subject to shocks arriving according to a non-homogeneous pure birth process (NHPBP). Unlike traditional non-homogeneous Poisson process models, the NHPBP realistically captures system deterioration driven by both chronological aging and the cumulative number of failures experienced. Under the proposed policy, each shock results in either a type 1 failure, which undergoes minimal repair, or a type 2 failure, which necessitates corrective replacement. The system is replaced preventively at a planned age T or correctively at the first type 2 failure, whichever occurs first. We formulate the expected average cost rate within this single replacement cycle, incorporating age-dependent minimal repair costs and distinct replacement costs. Furthermore, we analytically derive the conditions under which a unique and finite optimal replacement time T exists, providing a rigorous mathematical foundation for determining the optimal maintenance schedule.
|
|||
| Keywords | Minimal repair; One-cycle criterion; Optimization; Preventive replacement; Random working time | |||
| Article #: RQD2026-127 | ||||
Proceedings of 31st ISSAT International Conference on Reliability & Quality in Design |