PAVEMENT PERFORMANCE PREDICTION MODEL USING THE MARKOV PROCESS
Abbas A. Butt, Mohamed Y Shahin, Kieran J Feighan, S H Carpenter
Abstract
Abbas A. Butt, Mohamed Y Shahin, Kieran J Feighan, S H Carpenter
Abstract
A good pavement-management system requires an accurate and efficient pavement performance and prediction model. A pavement performance and prediction model based on the Pavement Condition Index and the age of the pavement has been developed. The Pavement Condition Index ranging from 0 to 100 has been divided into ten equal condition states. A combination of homogeneous and nonhomogeneous Markov chains has been used in the development of the model. The life span of the pavement is divided into zones, with each zone representing a period of 6 years. The transition matrix of each zone is determined using nonlinear programming. If the state of any given pavement section is known, its future condition can be predicted efficiently from the corresponding transition matrices. The model presented in this paper will play an integral part in the decision-making procedure for determining optimal maintenance and repair strategies. A comparison between the Markov model and the constrained least-squares model is presented.
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A good pavement-management system requires an accurate and efficient pavement performance and prediction model. A pavement performance and prediction model based on the Pavement Condition Index and the age of the pavement has been developed. The Pavement Condition Index ranging from 0 to 100 has been divided into ten equal condition states. A combination of homogeneous and nonhomogeneous Markov chains has been used in the development of the model. The life span of the pavement is divided into zones, with each zone representing a period of 6 years. The transition matrix of each zone is determined using nonlinear programming. If the state of any given pavement section is known, its future condition can be predicted efficiently from the corresponding transition matrices. The model presented in this paper will play an integral part in the decision-making procedure for determining optimal maintenance and repair strategies. A comparison between the Markov model and the constrained least-squares model is presented.
Key concepts: Pavement management, Markov chain, Markov model, Markov process, Stochastic matrix, Nonlinear system, Computer science, Mathematical optimization