Comparison between the predicted performance curve and the Markov Chain models for structural performance of infrastructure components

¹ University Of Balamand, Civil and Environmental Engineering Department, Kelhat, Koura, Lebanon
² University Of Balamand, Math Department, Kelhat, Koura, Lebanon

^* Corresponding author: nabil.semaan@balamand.edu.lb

Abstract

This paper compares the PPC model to a Markov Chain (MC) stochastic deterioration model. First, inspection data from the Société de Transport de Montréal (STM) is gathered and analyzed. Then Transition Probability Matrices (TPM) are developed, and, using Matlab, MC deterioration curves are developed. Comparison between MC and the PPC deterioration curves is performed for subway station walls and slabs. The comparison has shown that the useful service life can be as low as 2 years for components having many inspection history records, and very high as 30 years for components having very few inspection history records. The PPC model has always a higher useful service life estimate. Also, the MC has a ten times higher deterioration rate (0.2 per year) compared to the PPC model (0.02 per year). It can be concluded that the MC deterioration model requires a high amount of inspection data, and it is mathematically difficult to generate since most practicing managers and engineers have no background in Markov Chain modeling.