Determination of Spare Quantity Assuming a General Failure Distribution

Shigeru YANAGI; Masafumi SASAKI

Determination of Spare Quantity Assuming a General Failure Distribution

Shigeru YANAGI, Masafumi SASAKI

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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

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Type of Manuscript: PAPER

Category: General

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Shigeru YANAGI
Masafumi SASAKI

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Shigeru YANAGI, Masafumi SASAKI, "Determination of Spare Quantity Assuming a General Failure Distribution" in IEICE TRANSACTIONS on transactions, vol. E70-E, no. 2, pp. 110-115, February 1987, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e70-e_2_110/_p

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@ARTICLE{e70-e_2_110,
author={Shigeru YANAGI, Masafumi SASAKI, },
journal={IEICE TRANSACTIONS on transactions},
title={Determination of Spare Quantity Assuming a General Failure Distribution},
year={1987},
volume={E70-E},
number={2},
pages={110-115},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={February},}

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TY - JOUR
TI - Determination of Spare Quantity Assuming a General Failure Distribution
T2 - IEICE TRANSACTIONS on transactions
SP - 110
EP - 115
AU - Shigeru YANAGI
AU - Masafumi SASAKI
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 2
JA - IEICE TRANSACTIONS on transactions
Y1 - February 1987
AB - 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.
ER -