Imperfect and worse than old maintenances for a gamma degradation process

Franck Corset (1) , Mitra Fouladirad (2) , Christian Paroissin (3)

1 ASAR - Applied Statistics And Reliability - ASAR
2 M2P2 - Laboratoire de Mécanique, Modélisation et Procédés Propres
3 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

This article considers a condition‐based maintenance for a system subject to deterioration. The deterioration is modeled by a non‐homogeneous gamma process, more precisely the gamma process and the preventive maintenance are imperfect or worse than old. The corrective maintenance actions are as good as new. The maintenance efficiency or non‐efficiency parameters as well as the deterioration parameters are considered to be unknown. The monitoring data under consideration give indirect information on the maintenance parameters. Therefore, an expected maximum algorithm is applied for parameter estimation.

Keywords: ARD effect; condition-based maintenance; degradation; EM algorithm; gamma process; imperfect maintenance; statistical inference; worse than old maintenance

Domains: Statistics [math.ST]

Franck Corset, Mitra Fouladirad, Christian Paroissin. Imperfect and worse than old maintenances for a gamma degradation process. Applied Stochastic Models in Business and Industry, 2024, ⟨10.1002/asmb.2849⟩. ⟨hal-04462980⟩