Are Maintenance Practices for Railroad Tracks Effective?
The Association of American Railroads wished to determine the effect of a maintenance practice known as grinding on the occurrence of rail fatigue defects and on the subsequent total traffic usage before a track must be replaced. Because a designed experiment was not practical, an analysis of histor...
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| Veröffentlicht in: | Journal of the American Statistical Association 2005-03, Vol.100 (469), p.17-25 |
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| creator | Merrick, Jason R. W Soyer, Refik Mazzuchi, Thomas A |
| description | The Association of American Railroads wished to determine the effect of a maintenance practice known as grinding on the occurrence of rail fatigue defects and on the subsequent total traffic usage before a track must be replaced. Because a designed experiment was not practical, an analysis of historical data from the Canadian Northern Railroad is presented. In the analysis, certain covariate data are available, specifically the amount of grinding and some physical characteristics of the rail; other important covariate data are not available, however. A model for the number of defects as a function of traffic usage is developed based on a modulated Poisson point process. The model incorporates the effect of the available covariates and a mixture of Dirichlet processes set-up for the scale parameters of the individual rail sections that allows an assessment of the overall effect of the unavailable covariates. The model is then used to determine an optimal replacement period for a whole rail track. The analysis demonstrates that grinding reduces the expected number of defects and increases the optimal replacement interval. |
| doi_str_mv | 10.1198/016214504000002104 |
| format | Article |
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The model incorporates the effect of the available covariates and a mixture of Dirichlet processes set-up for the scale parameters of the individual rail sections that allows an assessment of the overall effect of the unavailable covariates. The model is then used to determine an optimal replacement period for a whole rail track. 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W</creatorcontrib><creatorcontrib>Soyer, Refik</creatorcontrib><creatorcontrib>Mazzuchi, Thomas A</creatorcontrib><title>Are Maintenance Practices for Railroad Tracks Effective?</title><title>Journal of the American Statistical Association</title><description>The Association of American Railroads wished to determine the effect of a maintenance practice known as grinding on the occurrence of rail fatigue defects and on the subsequent total traffic usage before a track must be replaced. Because a designed experiment was not practical, an analysis of historical data from the Canadian Northern Railroad is presented. In the analysis, certain covariate data are available, specifically the amount of grinding and some physical characteristics of the rail; other important covariate data are not available, however. A model for the number of defects as a function of traffic usage is developed based on a modulated Poisson point process. The model incorporates the effect of the available covariates and a mixture of Dirichlet processes set-up for the scale parameters of the individual rail sections that allows an assessment of the overall effect of the unavailable covariates. The model is then used to determine an optimal replacement period for a whole rail track. The analysis demonstrates that grinding reduces the expected number of defects and increases the optimal replacement interval.</description><subject>Applications</subject><subject>Applications and Case Studies</subject><subject>Counting process</subject><subject>Dirichlet problem</subject><subject>Exact sciences and technology</subject><subject>Fatigue</subject><subject>Fatigue failure</subject><subject>Grinding</subject><subject>Inference</subject><subject>Insurance, economics, finance</subject><subject>Markov analysis</subject><subject>Markov chain Monte Carlo</subject><subject>Mathematics</subject><subject>Mixture of Dirichlet processes</subject><subject>Modeling</subject><subject>Monte Carlo simulation</subject><subject>Multivariate analysis</subject><subject>Parametric models</subject><subject>Poisson process</subject><subject>Probability and statistics</subject><subject>Probability theory and stochastic processes</subject><subject>Rail industry</subject><subject>Railroad maintenance</subject><subject>Railroad tracks</subject><subject>Railroad transportation</subject><subject>Sciences and techniques of general use</subject><subject>Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)</subject><subject>Statistics</subject><subject>Traffic</subject><subject>Traffic flow</subject><issn>0162-1459</issn><issn>1537-274X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kFtLxDAQhYMouK7-AUEogo_VJE3T5EFkWdYLrCiygm9lmk6ga7ddk66y_96UenkQnJfAnG9OZg4hx4yeM6bVBWWSM5FSQfvijIodMmJpksU8Ey-7ZNQDcSD0PjnwftlTmVIjoiYOo3uomg4baAxGjw5MVxn0kW1d9ARV7Vooo0Vov_poZi0G-R2vDsmehdrj0dc7Js_Xs8X0Np4_3NxNJ_PYCCW7WCeSlroQSK0Ie-nSIKCwrETBNUUJohBSQgqmFIKDkowWaFAXlJVWokzG5HTwXbv2bYO-y5ftxjXhyzycJjkVPAsQHyDjWu8d2nztqhW4bc5o3geU_w0oDJ19OYM3UFsX7q_876RMFeeKB-5k4Ja-a92PzrNU0zRkPCaXg141IbIVfLSuLvMOtnXrvk2Tf_b4BFnKgFM</recordid><startdate>20050301</startdate><enddate>20050301</enddate><creator>Merrick, Jason R. 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| ispartof | Journal of the American Statistical Association, 2005-03, Vol.100 (469), p.17-25 |
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| source | JSTOR Mathematics and Statistics; Taylor & Francis Journals Complete; JSTOR |
| subjects | Applications Applications and Case Studies Counting process Dirichlet problem Exact sciences and technology Fatigue Fatigue failure Grinding Inference Insurance, economics, finance Markov analysis Markov chain Monte Carlo Mathematics Mixture of Dirichlet processes Modeling Monte Carlo simulation Multivariate analysis Parametric models Poisson process Probability and statistics Probability theory and stochastic processes Rail industry Railroad maintenance Railroad tracks Railroad transportation Sciences and techniques of general use Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) Statistics Traffic Traffic flow |
| title | Are Maintenance Practices for Railroad Tracks Effective? |
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