Derivation of Transition Probability Matrices for Pavement Deterioration Modeling
Publication: Journal of Transportation Engineering
Volume 132, Issue 2
Abstract
The derivation of transition matrices has traditionally been effected using one of two methods. The standard approach is to observe, from historical data, the way in which a road network deteriorates from one year to the next, and use this to estimate the transition matrix probabilities. Alternatively, a panel of experienced engineers can be used to estimate the probabilities using expert opinion. This paper proposes and describes the development of three further methods for the determination of transition probabilities. The first method assumes that the historical condition data for each of the sites in the network is readily available. The second utilizes the regression curve obtained from the original data, and the third assumes that the yearly distributions of condition are available to assit in the process. In each case, an objective function aims at minimizing the difference between each of the method functions obtained from the original data and the corresponding functions obtained from the transition probabilities. An analysis of the results concluded that although the transition matrix fitted curve for the third method was not always as close to the regression curve as in the other methods, it did yield a distribution not only closer, but comparable, to the original distributions in all tested cases. The third method has therefore been taken forward and encapsulated in an analytical tool to assist the engineer in the formulation of transition matrices.
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References
AASHTO. (1985). AASHTO guide for the design of pavements structures, AASHTO, Washington D.C.
Butt, A. A., Shahin, M. Y., Carpenter, S. H., and Carnahan, J. V. (1994). “Application of Markov process to PMS at network level.” Proc., 3rd Int. Conf. on Managing Pavements, Vol. 2, National Academy Press, Washington, D.C., 159–172.
Costello, S. B., Ortiz-Garcia, J. J., and Snaith, M. S. (2005). “Development of the transition matrix calculator.” Proc., 10th Int. Conf. on Civil, Structural, and Environmental Engineering Computing, Civil-Comp, Stirling, U.K.
Costello, S. B., Snaith, M. S., Kerali, H. G. R., Tachtsi, V. T., and Ortiz-Garcia, J. J. (2006). “Stochastic model for strategic assessment of road maintenance.” Proc., Institution of Civil Engineers, Transport, in press.
Darter, M. I., and Hudson, W. R. (1973). “Probabilistic design concepts applied to flexible pavement system design.” Rep. No. 123-18, Center for Highway Research, Univ. of Texas at Austin, Austin, Tex.
Fylstra, D., Lasdon, L., Watson, J., and Warren, A. (1998). “Design and use of the Microsoft Excel Solver.” Interfaces, 28(5), 29–55.
Isaacson, D. L., and Madsen, R. W. (1976). Markov chains: Theory and applications, Wiley, New York.
Kerali, H. R., and Snaith, M. S. (1992). “NETCOM: The TRL visual condition model for road Networks.” Contractor Rep. No. 321, Transport Research Laboratory, Crowthorne, U.K.
Kulkarni, R. B. (1984). “Dynamic decision model for a pavement management system.” Transportation Research Record 997, Transportation Research Board, Washington, D.C., 11–18.
Li, N., Haas, R., and Xie, W. (1997). “Development of a new asphalt pavement performance prediction model.” Can. J. Civ. Eng., 24, 547–559.
Ortiz-García, J. J. (2000). “Strategic planning of highway maintenance: Condition standards and their assessment.” PhD thesis, Univ. of Birmingham, Birmingham, U.K.
Paterson, W. D. O. (1987). “Road deterioration and maintenance effects: Models for planning and management.” The Highway Design and Maintenance Standards Model (HDM-III), Vol. III, World Bank, Washington, D.C.
Robinson, R., Snaith, M. S., and Danielson, U. (1998). Road maintenance management: Concepts and systems, Macmillan, Basingstoke, U.K.
Thompson, P. D., Neumann, L. A., Miettinen, M., and Talvitie, A. (1987). “A micro-computer Markov dynamic programming system for pavement management in Finland.” Proc., 2nd North American Conf. on Managing Pavements, Ontario Ministry of Transportation and Communications, Vol. 2, Toronto, 2.241–2.252.
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© 2006 ASCE.
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Received: Feb 10, 2004
Accepted: Jun 10, 2005
Published online: Feb 1, 2006
Published in print: Feb 2006
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