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Imperfect repair in degradation processes: A Kijima‐type approach
Author(s) -
Kahle Waltraud
Publication year - 2019
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2438
Subject(s) - degradation (telecommunications) , process (computing) , computer science , wiener process , imperfect , estimator , reliability engineering , environmental science , mathematics , statistics , engineering , linguistics , telecommunications , philosophy , operating system
We consider a Wiener process with linear drift for degradation modeling. Regularly, maintenance actions are carried out which produce a reduction of the degradation level. In this paper, we consider the influence of such maintenance actions to the further development of the degradation process and the resulting lifetime distribution. A connection between virtual age in Kijima‐type models and degradation level in the underlying degradation process is developed. Furthermore, estimators for the process parameters as well as for the degree of repair are developed.