Hy. Gu, STUDIES ON OPTIMUM PREVENTIVE MAINTENANCE POLICIES FOR GENERAL REPAIRRESULT, Reliability engineering & systems safety, 41(2), 1993, pp. 197-201
Citations number
3
Categorie Soggetti
Engineering,"Operatione Research & Management Science
In this paper we consider that a unit is repaired preventively after i
t has operated for time T. After repair, the unit is not as good as a
new one, but is equivalent to one which has been used for a period of
time. If we let Y indicate such a period of time, then Y is a random v
ariable related to the time for which the unit has already operated .
Hence, under the same repair condition as above, we obtain the unit's
renovation degree distribution Of Y after the unit is repaired prevent
ively at time kT (k = 2, 3, . . . ). Further, using the method of lead
ing variables, we obtain the mean number of times the unit has broken
down from time (k - 1)T to time kT (k = 1, 2, . . . ). Finally, consid
ering an objective function with a bound condition and using the Lagra
nge multipliers method, we obtain an optimal preventive maintenance ti
me T, for which the minimum total repair cost is achieved.