Int J Performability Eng ›› 2022, Vol. 18 ›› Issue (1): 56-62.doi: 10.23940/ijpe.22.01.p7.5662

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Reliability-based Maintenance Modelling of Multi-Component Systems using the Proportional Intensity Model

Houssam Lala*, Ahmed Bellaouar, Redouane Zellagui, and Sidali Bacha   

  1. Transport Engineering and Environment Laboratory, Frères Mentouri Constantine 1 University, Constantine, 25000, Algeria
  • Contact: * E-mail address:

Abstract: This work is devoted to a modeling of the maintenance of multi-component systems which are subject to several covariates capable of strongly influencing the behavior of the system. This is ensured by several reliable models having the characteristic of introducing, during the evaluation of the operating state of the system, several concomitant information. In this work, we are interested in the modeling of the behavior of the system by the proportional intensity model (PIM) by incorporating, on the basis of a maintenance history of a turbocompressor having worked for nearly nine years, two covariates representing “temperature” and “programming of maintenance shutdowns”. The estimation of the parameters of the models, examined for two functions of failure intensities of the non-homogeneous Poisson process (NHPP) (power law and the log linear law), is carried out by the Maximum likelihood approach ( MLE) which makes it possible to choose the best adjustment model validated by the likelihood ratio (LR). The results found by this model show the effect of each covariate on the proper functioning of the system.

Key words: multi-component, covariates, proportional intensity model (PIM), Inhomogeneous Poisson process (NHPP), maximum likelihood approach (MLE), likelihood ratio (LR).