TWO DIMENSIONAL WARRANTY CONTRACT WITH PREVENTIVE MAINTENANCE POLICY BY CONSIDERING THE DEPENDENCY PARAMETER
Vehicle manufacturers provide warranty as a form of the reliability guarantee for the vehicle they have been manufactured, when the failure occurred manufacturers provide repair. In general, for modelling the failure used the independent two-dimensional failure model, but the reality show that there...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/26654 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Vehicle manufacturers provide warranty as a form of the reliability guarantee for the vehicle they have been manufactured, when the failure occurred manufacturers provide repair. In general, for modelling the failure used the independent two-dimensional failure model, but the reality show that there was the dependency between time and usage to failure. Indefinitely this research used two-dimensional failure model that consider the parameter of dependency between time and usage to failure. This dependent two-dimensional failure model was involving the bivariate Weibull distribution where the parameter of this dependence affects the failure rate function and the warranty limits. Determination of the warranty limits consider two types of consumer is the consumer A who are reaching the time warranty limit in advance, while consumers B who are reaching the limit of usage beforehand. The separation of these two types of consumers due to warranty limits can not be achieved simultaneously. This two-dimensional warranty using the preventive maintenance policy that provided to delay the failure of product so can be reduce the warranty costs. The concept of virtual virtual age and usage are used in determining the optimal warranty limits using PM policy. The optimal warranty limits using PM policy obtained by assuming virtual limits after PM action are the optimal warranty limits without PM policy. So the warranty limit with PM policy will be longer than waranty limit without PM policy. Some numerical examples are given to illustrate how the dependency parameter influence on the determination an optimal warranty limits and the number of failure which warranty limits and the number of failure will be smaller if the dependence between time and usage getting weaker. |
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