S. Okumura et al., AN INSPECTION POLICY FOR A DETERIORATING SINGLE-UNIT SYSTEM CHARACTERIZED A DELAY-TIME MODEL, International Journal of Production Research, 34(9), 1996, pp. 2441-2460
Citations number
5
Categorie Soggetti
Engineering,"Operatione Research & Management Science
This paper develops a method for determining the discrete time points
of inspection for a deteriorating system which is under condition-base
d maintenance. The system is regarded as a single component unit, and
it has the following states: a normal state, a symptom state and a fai
led state. A delay-time model is utilized in order to describe the tra
nsition of the states. The transition time from a normal state to a sy
mptom state and the transition time from a symptom state to a failed s
tate are assumed to obey independent and identically distributed proba
bility density functions respectively. Two types of probabilities with
respect to inspections are considered: failed-dangerous (FD) probabil
ity or type I error that a system is wrongly diagnosed as in a normal
state when the system is actually in a symptom state and failed-safe (
FS) probability or type II error that a system is wrongly diagnosed as
in a symptom state when the system is actually in a normal state. The
determination method is formulated to minimize the long-run average c
ost per unit time with a constraint on inspection time. The nature and
sensitivity of the proposed method is investigated under varying FD a
nd FS probabilities and coefficients of variation.