Influence of the Income From the Use of an Asset on the Calculation of its Preventive Interval for a Planned Horizon. Use of Semi-Markov Processes and Degraded State

Abstract

The calculation of the preventive interval requires a mathematical procedure that analyses the income and costs involved in the operation and maintenance process of an asset and considers the behaviour in the event of asset failure. For this purpose, a model is designed in which the asset can be in four states, with varying sojourn times and increasing failure rates. Semi-Markovian processes rep-resent these assumptions well. The proposed model provides the mathematical equation that accounts for the average accumulated returns over successive transitions between states and the equation that optimises the preventive interval for any planning horizon. The results allow identifying the importance of the income per operating hour in the calculation of the preventive interval.