β Scribed by W.Y. Yun; D.S. Bai
No coin nor oath required. For personal study only.
A replacement policy with minimal repair cost limit is discussed. When a system fails, the repair cost is estimated by inspection and minimal repair is then undertaken if the estimated cost is less than a predetermined limit L; otherwise, the system is replaced. It is assumed that repair cost can not be estimated exactly because of imperfect inspection. When the failure time follows a Weibull distribution and repair cost a normal distribution, the value of repair cost limit minimizing the expected cost rate is shown to be finite and unique.
NOTATION
Xn
Y. L g(xO h(Yx Ix1) K('),K(') r.v. denoting the nth failure time Cdf, cumulative hazard of T 1 nth minimal repair cost; a r.v. realized value of X, estimator of x. minimal repair cost limit pdf of X a conditional pdf of Y1 given Xt = x~ Cdf, survival function of Ya 59 Reliability Engineering and System Safety
π SIMILAR VOLUMES
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