Determination of Spare Quantity Assuming a General Failure Distribution

Shigeru YANAGI, Masafumi SASAKI

Summary :

Determination of spare quantity assuming a general failure distribution is discussed. A new method is presented which is an extension of a usual normal approximation method. The original method is essentially a Normal distribution approximation" to a Poisson process of failure occurrence. On the other hand, the new method assumes a general failure distribution. The mean and the variance of the number of failures within for a given period of time are necessary for determining the spare quantity. The mean is obtained in a simple form. The variance is give as a solution of an integral equation. The solution of this equation for a general case is obtained by applying a discrete approximation technique. Some numerical examples are provided to discuss the difference between when assuming a general failure distribution and when assuming the exponential failure distribution.

• Publication: IEICE TRANSACTIONS on transactions Vol.E70-E No.2 pp.110-115
• Publication Date: 1987/02/25
• Type of Manuscript: PAPER
• Category: General

Authors

Shigeru YANAGI
Masafumi SASAKI

Keyword