Abstract
A new model of hybrid preventive maintenance of systems with partially observable degradation is developed. This model combines condition-based maintenance with age replacement maintenance in the proposed, specific way. A system, subject to a shock process, is replaced on failure or at some time ${T}_S$ if the number of shocks experienced by this time is greater than or equal to m or at time $T>{T}S$ otherwise, whichever occurs first. Each shock increases the failure rate of the system at the random time of its occurrence, thus forming a corresponding shot-noise process. The real deterioration of the system is partially observed via observation of the shock process at time ${T}S$. The corresponding optimization problem is solved and a detailed numerical example demonstrates that the long-run cost rate for the proposed optimal hybrid strategy is smaller than that for the standard optimal age replacement policy.
| Original language | English |
|---|---|
| Pages (from-to) | 345-365 |
| Number of pages | 21 |
| Journal | IMA Journal of Management Mathematics |
| Volume | 31 |
| Issue number | 3 |
| DOIs | |
| State | Published - 12 Jun 2020 |
Bibliographical note
Funding Information:National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (no. 2019R1A2B5B02069500); Basic Science Research Program through the NRF funded by the Ministry of Education (grant number: 2019R1A6A1A11051177).
Publisher Copyright:
© 2020 The Author(s) 2020. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Keywords
- Poisson process
- age replacement
- failure (hazard) rate process
- maintenance
- shot-noise process