TECHNICAL PAPERS
May 1, 2006

Performance Prediction of Bridge Deck Systems Using Markov Chains

Publication: Journal of Performance of Constructed Facilities
Volume 20, Issue 2

Abstract

Bridge management systems have adopted Markov-chain models for predicting the future condition of bridge components, systems, and networks. These models are developed based on two assumptions. First, bridge inspections are performed at predetermined and fixed time intervals (i.e., constant inspection period). Second, the future bridge condition depends only on the present condition and not on the past condition (i.e., state independence). This paper evaluates the impact of these assumptions on the performance prediction of bridge deck systems using field data obtained from the Ministère des Transports du Québec. Transition probability matrices are developed for the different elements of the deck system and adjusted for the variation in the inspection period using Bayes’ rule. This investigation indicated that the variation in the inspection period may result in a 22% error in predicting the service life of a bridge deck system. Also, the statistical tests used to assess the validity of the state independence assumption of Markov chains showed that this assumption is acceptable with a 95% level of confidence, which is reasonable for network level analysis.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The writer wishes to acknowledge M. Guy Richard, Director, and M. René Gagnon, Bridge Engineer, of the Structures Department, Ministère des Transports du Québec, for their invaluable help in providing the writer with all available data, manuals, and other needed information.

References

Bogdanoff, I. L. (1978). “A new cumulative damage model—Part I.” J. Appl. Mech., 45(2), 246–250.
Butt, A. A., Shahin, M. Y., Feighan, K. J., and Carpenter, S. H. (1987). “Pavement performance prediction model using the Markov process.” Transportation Research Record 1123, Transportation Research Board, Washington, D.C., 12–19.
Collins, L. (1972). An introduction to markov chain analysis, CATMOG, Geo Abstracts Ltd., Univ. of East Anglia, Norwich.
DeStefano, P. D., and Grivas, D. A. (1998). “Method for estimating transition probability in bridge deterioration models.” J. Infrastruct. Syst., 4(2), 56–62.
Federal Highway Administration (FHwA). (2001). “The problem of deteriorating bridge decks.” Non-Destructive Evaluation Validation Center, Federal Highway Administration ⟨www.tfhrc.gov/hnr20/nde/problem.htm⟩.
Golabi, K., and Shepard, R. (1997). “Pontis: A system for maintenance optimization and improvement of U.S. bridge networks.” Interfaces, 27, 71–88.
Hawk, H. (1995). “BRIDGIT deterioration models.” Transportation Research Record 1490, Transportation Research Board, Washington, D.C., 19–22.
Itoh, Y., Nagata, H., Liu, C., and Nishikawa, K. (2000). “Comparative study of optimized and conventional bridges: Life cycle cost and environmental impact.” U.S.–Japan Workshop on Life-Cycle Cost Analysis and Design of Civil Infrastructure Systems, D. M. Frangopol and H. Furuta, eds., ASCE, Reston, Va., 130–148.
Jiang, Y., Saito, M., and Sinha, K. C. (1988). “Bridge performance prediction model using the Markov chain.” Transportation Research Record 1180, Transportation Research Board, Washington, D.C., 25–32.
Lounis, Z. (2000). “Reliability-based life prediction of aging concrete bridge decks.” Life prediction and aging management of concrete structures, D. Naus, ed., RILEM, Paris, 229–238.
Lounis, Z., and Mirza, M. S. (2001). “Reliability-based service life prediction of deteriorating concrete structures.” Proc., 3rd Int. Conf. on Concrete Under Severe Conditions, N. Banthia, K. Sakai, and O. E. Gjorv, eds., UBC, Vancouver, B.C., Canada.
Madanat, S., Karlaftis, M. G., and McCarthy, P. S. (1997). “Probabilistic infrastructure deterioration models with panel data.” J. Infrastruct. Syst., 3(1), 4–9.
Madanat, S., Mishalani, R., and Ibrahim, W. H. W. (1995). “Estimation of infrastructure transition probabilities from condition rating data.” J. Infrastruct. Syst., 1(2), 120–125.
Micevski, T., Kuczera, G., and Coombes, P. (2002). “Markov model for storm water pipe deterioration.” J. Infrastruct. Syst. 8(2), 49–56.
Ministère des Transports du Québec (MTQ). (1995). Manuel d’inspection des structures: Evaluation des dommages, Bibliothèque Nationale du Québec, Gouvernement du Québec, Ottawa.
Ministère des Transports du Québec (MTQ). (1997). Manuel de l’usage du système de gestion des structures SGS-5016, Bibliothèque Nationale du Québec, Gouvernement du Québec, Ottawa.
Morcous, G., Lounis, Z., and Mirza, S. M. (2003). “Identification of environmental categories for Markovian deterioration models of bridge decks.” J. Bridge Eng., 8(6), 353–361.
Morcous, G., and Rivard, H. (2003). “Computer assistance in managing the maintenance of low-slope roofs.” J. Comput. Civ. Eng., 17(4), 230–242.
Morcous, G., Rivard, H., and Hanna, A. M. (2002). “Modeling bridge deterioration using case-based reasoning.” J. Infrastruct. Syst., 8(3), 86–95.
Parzen, E. (1962). Stochastic processes, Holden Day, San Francisco.
Scherer, W. T., and Glagola, D. M. (1994). “Markovian models for bridge maintenance management.” J. Transp. Eng., 120(1), 37–51.
Smilowitz, K., and Madanat, S. (2000). “Optimal inspection and maintenance policies for infrastructure networks.” Comput. Aided Civ. Infrastruct. Eng., 15, 5–13.
Thompson, P. D., and Shepard, R. W. (1994). “Pontis.” Transportation Research Record 324, Transportation Research Board, Washington, D.C., 35–42.
Wirahadikusumah, R., Abraham, D., and Iseley, T. (2001). “Challenging issues in modeling deterioration of combined sewers.” J. Infrastruct. Syst., 7(2), 77–84.
Zayed, T. M., Chang, L.-M., and Fricker, J. D. (2002a). “Life-cycle cost analysis using deterministic and stochastic methods: Conflicting results.” J. Perform. Constr. Facil., 16(2), 63–74.
Zayed, T. M., Chang, L.-M., and Ficker, J. D. (2002b). “Statewide performance function for steel bridge protection systems.” J. Perform. Constr. Facil., 16(2), 46–54.

Information & Authors

Information

Published In

Go to Journal of Performance of Constructed Facilities
Journal of Performance of Constructed Facilities
Volume 20Issue 2May 2006
Pages: 146 - 155

History

Received: Sep 10, 2003
Accepted: Feb 2, 2004
Published online: May 1, 2006
Published in print: May 2006

Permissions

Request permissions for this article.

Authors

Affiliations

G. Morcous, A.M.ASCE [email protected]
Assistant Professor, Construction Systems Dept., Univ. of Nebraska, Lincoln, Omaha, NE 68182. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share