1. Development of a Tool to Calculate the Preventive Maintenance Interval Using a Semi-Markovian Model Including a Degraded State
- Author
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A Sánchez-Herguedas and F Rodrigo-Mu noz
- Subjects
preventive interval, income, semi-markovian model, wiener process. ,Science (General) ,Q1-390 - Abstract
Abstract This study aims to develop a tool that calculates the optimal preventive maintenance interval when the income from the operation of an asset changes. The income can be modified by market disturbances or by the decrease in the efficiency of the asset due to its degradation. A system with four states is designed to model the operation and maintenance process: operational, corrective, preventive, and degraded operation is mathematically modeled. The system evolves over time, according to a semi-Markovian process. The transitions and sojourn times between each state produce the accumulation of costs and income as returns (negative or positive) in a variable called average accumulated return. The average accumulated return is defined by a system of difference equations that are solved by applying the z-transform. The solution is a function that is dependent on the preventive interval. By derivation, the mathematical expression of the optimal preventive interval that maximizes the average accumulated return is obtained. From this expression, it can be deduced that the size of the optimal preventive interval is directly affected by the income from the asset operation. Higher income increases the size and lower income decreases it. For this reason, the maintenance manager must observe the changesoccuring in the income from the use of his equipment in order to optimize his management economically.
- Published
- 2024
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