STOCHASTIC MODELING OF TIME EVOLUTION OF A MOTORCYCLE PUMP REPAIR

Naima TAMALOUSSI, Azzedine BOUZAOUIT

Abstract


The strategy of predictive maintenance seems adequate to anticipate the failure and degradation of equipment status. A study of reliability is needful to quantify the indicators to describe the performance of any system over time. The present work is devoted to the monitoring and analysis of the stoppage generated by the pump-motor system, based on the evaluation of the total time of repair of TTR equipment. In a first stage, we carried out a static analysis with the aim of describing the distribution law of the time sample to be analyzed, that is the various times of TTR repair of t he system. In the first step, we carried out a static analysis with the objective of describing law of the sample of the time times to be analyzed, namely the various system repair times TTR. The static analysis of the values of this latter has confirmed that the distribution of the TTR follows a normal law, whose parameters are (m and σ). The adjustment of the adequacy of the Normal distribution of the sample has been verified according to the KOLMOGOROV-Smirnov test for a risk degree of 5٪ . Subsequently, we proposed and approach based on stochastic processes, for the modeling of the evolution of times repair of the studied system, chiefly by the Wiener degradation process.

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