Statistical modelling of railway track geometry degradation using Hierarchical Bayesian models

Abstract Railway maintenance planners require a predictive model that can assess the railway track geometry degradation. The present paper uses a Hierarchical Bayesian model as a tool to model the main two quality indicators related to railway track geometry degradation: the standard deviation of longitudinal level defects and the standard deviation of horizontal alignment defects. Hierarchical Bayesian Models (HBM) are flexible statistical models that allow specifying different spatially correlated components between consecutive track sections, namely for the deterioration rates and the initial qualities parameters. HBM are developed for both quality indicators, conducting an extensive comparison between candidate models and a sensitivity analysis on prior distributions. HBM is applied to provide an overall assessment of the degradation of railway track geometry, for the main Portuguese railway line Lisbon–Oporto.

[1]  Yann Bezin,et al.  The effect of railway vehicle dynamics on the lateral alignment of track , 2016 .

[2]  Theodore Stathopoulos,et al.  Discussion of “Random Field Modeling of Railway Track Irregularities” by R. N. Iyengar and O. R. Jaiswal , 1997 .

[3]  J C Corbin,et al.  PERFORMANCE-BASED TRACK-QUALITY MEASURES AND THEIR APPLICATION TO MAINTENANCE-OF-WAY PLANNING , 1981 .

[4]  Inmaculada Gallego,et al.  Track deterioration in high-speed railways , 2007 .

[5]  António Ramos Andrade,et al.  Exploring Different Alert Limit Strategies in the Maintenance of Railway Track Geometry , 2016 .

[6]  Cecília Vale,et al.  Stochastic model for the geometrical rail track degradation process in the Portuguese railway Northern Line , 2013, Reliab. Eng. Syst. Saf..

[7]  C. Esveld,et al.  Vehicle reactions versus track geometry , 1990, ASME/IEEE Joint Conference on Railroads.

[8]  E Schnieder,et al.  Monte Carlo simulation of railway track geometry deterioration and restoration , 2012 .

[9]  T-L Yang,et al.  ANALYTICAL DESCRIPTIONS OF TRACK-GEOMETRY VARIATIONS , 1982 .

[10]  A López-Pita,et al.  Evolution of track geometric quality in high-speed lines: Ten years experience of the Madrid-Seville line , 2007 .

[11]  Alan J Bing,et al.  DEVELOPMENT OF RAILROAD TRACK DEGRADATION MODELS , 1983 .

[12]  J. Besag Spatial Interaction and the Statistical Analysis of Lattice Systems , 1974 .

[13]  Andrew Thomas,et al.  WinBUGS - A Bayesian modelling framework: Concepts, structure, and extensibility , 2000, Stat. Comput..

[14]  J. Besag,et al.  On conditional and intrinsic autoregressions , 1995 .

[15]  António Ramos Andrade,et al.  Predicting Unplanned Maintenance Needs Related to Rail Track Geometry , 2014 .

[16]  Jianmin Zhao,et al.  Optimizing Policies of Railway Ballast Tamping and Renewal , 2006 .

[17]  C. Robert,et al.  Bayesian Modeling Using WinBUGS , 2009 .

[18]  A. Gelman Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper) , 2004 .

[19]  Tin Kin Ho,et al.  Bayesian nonparametric reliability analysis for a railway system at component level , 2013, 2013 IEEE International Conference on Intelligent Rail Transportation Proceedings.

[20]  R. N. Iyengar,et al.  Random Field Modeling of Railway Track Irregularities , 1995 .

[21]  Bradley P. Carlin,et al.  Bayesian measures of model complexity and fit , 2002 .

[22]  P. Fonseca Teixeira,et al.  Uncertainty in Rail-Track Geometry Degradation: Lisbon-Oporto Line Case Study , 2011 .

[23]  C. Esveld Modern railway track , 1989 .

[24]  By W. R. GILKSt,et al.  Adaptive Rejection Sampling for Gibbs Sampling , 2010 .

[25]  Yu-Jiang Zhang,et al.  Objective Track Quality Indices , 2004 .

[26]  John D. Andrews,et al.  A stochastic model for railway track asset management , 2014, Reliab. Eng. Syst. Saf..

[27]  C B Dean,et al.  Hierarchical Bayesian spatiotemporal analysis of revascularization odds using smoothing splines , 2008, Statistics in medicine.

[28]  Brian J. Smith,et al.  BAYESIAN OUTPUT ANALYSIS PROGRAM (BOA) VERSION 1.1 USER'S MANUAL , 2003 .

[29]  R. N. Iyengar,et al.  A new model for non-Gaussian random excitations , 1993 .

[30]  Hakan Guler,et al.  Prediction of railway track geometry deterioration using artificial neural networks: a case study for Turkish state railways , 2014 .

[31]  A Hamid,et al.  TRACK-QUALITY INDICES AND TRACK-DEGRADATION MODELS FOR MAINTENANCE-OF-WAY PLANNING , 1981 .