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An Inspection Policy for Deteriorating Processes Using Delay‐Time Concept
Author(s) -
Okumura S.
Publication year - 1997
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/j.1475-3995.1997.tb00092.x
Subject(s) - imperfect , state (computer science) , sensitivity (control systems) , computer science , inspection time , transition time , reliability engineering , discrete time and continuous time , control theory (sociology) , mathematical optimization , mathematics , algorithm , real time computing , statistics , engineering , artificial intelligence , psychology , developmental psychology , philosophy , linguistics , control (management) , electronic engineering
A method for determining the discrete time points of inspection for a deteriorating single‐unit system under condition‐based maintenance is developed. The system is in a normal state, a symptom state or a failed state. A delay‐time model is utilized to describe the transition of the states. The transition time from a normal state to a symptom state and that from a symptom state to a failed state are derived assuming continuous deteriorating processes based on a reaction rate model which is categorized as a failure physics model. Failed‐dangerous and failed‐safe probabilities of an imperfect inspection are considered. A method for minimizing the long‐run average cost per unit time is formulated. The characteristics and sensitivity of the proposed method are investigated.