ESTIMATING MARKOVIAN TRANSITION PROBABILITIES FOR BRIDGE DETERIORATION FORECASTING

In this paper, a methodology to estimate the Markovian transition probability model is presented to forecast the deterioration process of bridge components. The deterioration states of the bridge components are categorized into several ranks, and their deterioration processes are characterized by hazard models. The Markovian transition probabilities between the deterioration states which are defined for the fixed intervals between the inspection points in time, are described by the exponential hazard models. The applicability of the estimation methodology presented in this paper is investigated by the empirical data set of steel bridges in New York city.

[1]  J. Tobin Estimation of Relationships for Limited Dependent Variables , 1958 .

[2]  Michael J. Boskin,et al.  Regression Analysis when the Dependent Variable is Truncated Lognormal, with an Application to the Determinants of the Duration of Welfare Dependency , 1974 .

[3]  Tony Lancaster,et al.  The Econometric Analysis of Transition Data. , 1992 .

[4]  Manabu Matsushima,et al.  EVALUATION ON PARAMETERS OF CHLORIDE INDUCED DAMAGE BASED ON ACTUAL DATA IN SITU , 1996 .

[5]  Kiyoyuki Kaito,et al.  PREDICTION OF DETERIORATION OF BRIDGE STRUCTURES BASED ON ACTUAL INSPECTION DATA , 2003 .

[6]  Mitsunori Kawamura,et al.  EVALUATION OF THE DEGREE OF DETERIORATION IN ASR DAMAGED CONCRETES AND ANALYSES OF THEIR PORE SOLUTIONS , 2000 .

[7]  Arnold Zellner,et al.  Estimating the parameters of the Markov probability model from aggregate time series data , 1971 .

[8]  Koichi Kobayashi,et al.  STUDY ON ESTIMATION OF CORROSION RATE OF REINFORCING STEEL IN CONCRETE BY MEASURING POLARIZATION RESISTANCE , 2001 .

[9]  Toshio Ohno,et al.  PREDICTION OF OCCURRENCE OF CRACKS DUE TO AUTOGENEOUS SHRINKAGE AND DRYING SHRINKAGE , 2000 .

[10]  Lukuan Qi,et al.  STUDY ON CORROSION OF REINFORCING BAR DUE TO CONCRETE NEUTRALIZATION UNDER ALTERNATE DRYING AND WETTING CONDITIONS , 2002 .

[11]  Christian Gourieroux,et al.  Econometrics of Qualitative Dependent Variables , 2000 .

[12]  Samer Madanat,et al.  DEVELOPMENT OF A STOCHASTIC MODEL OF PAVEMENT DISTRESS INITIATION , 2003 .