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BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI

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26 GheorgheNegru<br />

i) costs for penalization regarding the downtime (operational losses,<br />

impact on quality, impact on security and environment).<br />

ii) costs for corrective maintenance:<br />

iii) manpower: direct costs related with the manpower in the event of an<br />

unplanned action;<br />

iv) materials and replacement parts: direct costs related to the consumable<br />

parts and the replacements used in the event of an unplanned action.<br />

In the technical literature (Adolfo, 2007) are presented three basic models<br />

related to the non- reliability cost within the life cycle cost analysis (LCCA):<br />

constant failures rate, deterministic failures rate and Weibull distribution<br />

failures rate. These models include in their evaluation processes the<br />

quantification of the impact that could cause the diverse failure events in the<br />

total costs of a operational asset.<br />

In the followings will be presented the Weibull distribution failure rate<br />

model and its application to the case of the specialized wheeled vehicle systems.<br />

2. Weibull Distribution Failure Rate Model<br />

In terms of cost analysis structure, this model will estimate the nonreliability<br />

cost with failure frequencies calculated from a Weibull distribution<br />

function.<br />

The model proposes the following sequential flow:<br />

1. Identify, for each alternative to evaluate, the main types of failures.<br />

This way for certain equipment there will be f=1… F failure modes.<br />

2. Determine, for each failure mode, the “times to failure” (operational<br />

times). This information will be gathered, based on failure records, databases<br />

and/or experience of the maintenance and operations.<br />

3. Calculate the cost of failures C f (in monetary units/failure). These costs<br />

include replacement of parts, manpower, production loss penalization and<br />

operational impact costs.<br />

4. Determine the frequency of expected failures δ f using the Weibull<br />

distribution function.<br />

Will be used the following notations in Table 1<br />

Variable<br />

ζ<br />

tf<br />

MTBF<br />

Γ<br />

α<br />

β<br />

Table 1<br />

Significance<br />

Frequency of failures<br />

Time between failures<br />

Mean time between failures (inverse of the frequency)<br />

Gamma function<br />

Characteristic life<br />

Shape parameter

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