Deterioration Forecasting Model with Multistage Weibull Hazard Functions

In this paper, a time-dependent deterioration forecasting model is presented. In the model the deterioration process is described by transition probabilities, which are conditional upon actual in-service duration. The model is formulated by the multistage Weibull hazard model defined by using multiple Weibull hazard functions. The model can be estimated based upon inspection data that are obtained at discrete points in time. The applicability of the model and the estimation methodology presented in this paper are investigated against an empirical data set of highway utilities in the real world.

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

[2]  M. Y. Shahin,et al.  Pavement Management for Airports, Roads, and Parking Lots , 2006 .

[3]  Steven C. Chapra,et al.  Numerical Methods for Engineers: With Programming and Software Applications , 1997 .

[4]  George Morcous,et al.  Performance Prediction of Bridge Deck Systems Using Markov Chains , 2006 .

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

[6]  Steven B. Chase,et al.  Modeling the Reduction in Load Capacity of Highway Bridges with Age , 2000 .

[7]  Samer Madanat,et al.  Computation of Infrastructure Transition Probabilities using Stochastic Duration Models , 2002 .

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

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

[10]  Kiyoyuki Kaito,et al.  ESTIMATING MARKOVIAN TRANSITION PROBABILITIES FOR BRIDGE DETERIORATION FORECASTING , 2005 .

[11]  Samer Madanat,et al.  History-Dependent Bridge Deck Maintenance and Replacement Optimization with Markov Decision Processes , 2007 .

[12]  W. Greene,et al.  计量经济分析 = Econometric analysis , 2009 .

[13]  Rabi G. Mishalani,et al.  Uniform Infrastructure Fields: Definition and Identification , 1995 .

[14]  Bryan T. Adey,et al.  Condition Evolution in Bridge Management Systems and Corrosion-Induced Deterioration , 2004 .

[15]  Kiyoshi Kobayashi,et al.  Optimal Inspection and Replacement Policy using Stochastic Method for Deterioration Prediction , 2007 .

[16]  Samer Madanat,et al.  Estimation of infrastructure transition probabilities from condition rating data , 1995 .