Modélisation et optimisation de la maintenance préventive des équipements de production pétroliers en Algérie.

Abstract

This thesis focuses on optimizing the frequency of preventive maintenance (PM) of complex repairable systems. This optimization requires establishing a consistent reliability model capable of perfectly describing the system’s behavior and taking into account the influence of the different covariates on the system’s operation. An application on a history of three turbochargers, working in an oil industry, allowed us to consider the temperature, the programming of maintenance actions and the time between failures as covariates of the system. The latter can be described by the Generalized Proportional Intensity Model (GPIM) which can also incorporate in its’ intensity function on the effect of preventive and corrective maintenance actions. The results of the GPIM model found by the maximum likelihood approach make it possible to begin the frequency’s optimization of preventive maintenance using a simulation algorithm on a fixed time scale. The calculation of the average cost by this algorithm requires a large number of simulations (n>1000), which implies the use of software such as the MATLAB programming language. The proposed periodicity must reflect the minimum possible costs while ensuring the optimal balance between preventive and corrective maintenance actions.