Reliability analysis in railway repairable systems

Purpose The purpose of this paper is to present the results of the application of various models to estimate the reliability in railway repairable systems. Design/methodology/approach The methodology proposed by the International Electrotechnical Commission (IEC), using homogeneous Poisson process (HPP) and non-homogeneous Poisson process (NHPP) models, is adopted. Additionally, renewal process (RP) models, not covered by the IEC, are used, with a complementary analysis to characterize the failure intensity thereby obtained. Findings The findings show the impact of the recurrent failures in the times between failures (TBF) for rejection of the HPP and NHPP models. For systems not exhibiting a trend, RP models are presented, with TBF described by three-parameter lognormal or generalized logistic distributions, together with a methodology for generating clusters. Research limitations/implications For those systems that do not exhibit a trend, TBF is assumed to be independent and identically distributed (i.i.d.), and therefore, RP models of “perfect repair” have to be used. Practical implications Maintenance managers must refocus their efforts to study the reliability of individual repairable systems and their recurrent failures, instead of collections, in order to customize maintenance to the needs of each system. Originality/value The stochastic process models were applied for the first time to electric traction systems in 23 trains and to 40 escalators with ten years of operating data in a railway company. A practical application of the IEC models is presented for the first time.

[1]  Mohammedelameen Eissa Qurashi,et al.  Stochastic renewal process model for maintenance (case study: thermal electricity generation in Sudan) , 2016 .

[2]  Les Hatton Repetitive failure, feedback and the lost art of diagnosis , 1999, J. Syst. Softw..

[3]  Thomas L. Landers,et al.  Semi-parametric proportional intensity models robustness for right-censored recurrent failure data , 2005, Reliab. Eng. Syst. Saf..

[4]  Lee-Ing Tong,et al.  Forecasting field failure data for repairable systems using neural networks and SARIMA model , 2005 .

[5]  Alyson G. Wilson,et al.  Repairable System Reliability , 2008 .

[6]  Steven E. Rigdon,et al.  Bayes prediction for the number of failures of a repairable system , 1997 .

[7]  Anders Rygh Swensen,et al.  The Activity-Dependent Failure Intensity of SPC Systems-Some Empirical Results , 1986, IEEE J. Sel. Areas Commun..

[8]  Min Luo,et al.  Study on Reliability Test for Brake Control Execution Unit of Rail Transit Vehicle , 2010, 2010 International Conference on E-Product E-Service and E-Entertainment.

[9]  Yi Ding,et al.  Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers , 2010 .

[10]  J. T. Duane Learning Curve Approach to Reliability Monitoring , 1964, IEEE Transactions on Aerospace.

[11]  Uday Kumar,et al.  Reliability investigation for a fleet of load haul dump machines in a Swedish mine , 1989 .

[12]  Satadal Ghosh,et al.  Reliability modeling and prediction using classical and Bayesian approach , 2011 .

[13]  Wang Xishi,et al.  The reliability and performability of a repairable and degradable ATP system , 1996, Proceedings of Vehicular Technology Conference - VTC.

[14]  E. Henley,et al.  State-Transition Monte Carlo for Evaluating Large, Repairable Systems , 1980, IEEE Transactions on Reliability.

[15]  Jasper L. Coetzee The role of NHPP models in the practical analysis of maintenance failure data , 1997 .

[16]  A. R. Messina,et al.  Characterization of Multimachine System Behavior Using a Hierarchical Trajectory Cluster Analysis , 2011, IEEE Transactions on Power Systems.

[17]  D. S. Kirschen,et al.  Some common misconceptions about the modeling of repairable components , 2009, 2009 IEEE Power & Energy Society General Meeting.

[18]  Mohammadsadegh Mobin,et al.  Maintenance decision making, supported by computerized maintenance management system , 2016, 2016 Annual Reliability and Maintainability Symposium (RAMS).

[19]  K. C. Kurien,et al.  Analysis of Aircraft Reliability Using Monte Carlo Simulation , 1993 .

[20]  Tin Kin Ho,et al.  Reliability evaluations of railway power supplies by fault-tree analysis , 2007 .

[21]  Bo Henry Lindqvist,et al.  Statistical Modeling and Analysis of Repairable Systems , 2006, 0708.0362.

[22]  Shmuel S. Oren,et al.  Reliability growth of repairable systems , 1980 .

[23]  Bo Henry Lindqvist,et al.  The Trend-Renewal Process for Statistical Analysis of Repairable Systems , 2003, Technometrics.

[24]  K G L Simpson,et al.  Reliability Assessments of Repairable Systems—Is Markov Modelling Correct? , 2002 .

[25]  Zhibin Jiang,et al.  Reliability analysis of repairable systems using stochastic point processes , 2008 .

[26]  Larry H. Crow,et al.  Confidence intervals on the reliability of repairable systems , 1993, Annual Reliability and Maintainability Symposium 1993 Proceedings.

[27]  F. W. Yu,et al.  Assessment of operating performance of chiller systems using cluster analysis , 2012 .

[28]  Wayne B. Nelson,et al.  Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications , 2002 .

[29]  Nektarios Karanikas,et al.  Using reliability indicators to explore human factors issues in maintenance databases , 2013 .

[30]  S. Savio,et al.  Power electronics reliability and stochastic performances of innovative ac traction drives: a comparative analysis , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[31]  Bernard Harris,et al.  Hypothesis Testing and Confidence Intervals for Products and Quotients of Poisson Parameters with Applications to Reliability , 1971 .

[32]  Gianpaolo Pulcini,et al.  A new model for repairable systems with bounded failure intensity , 2005, IEEE Transactions on Reliability.

[33]  D. N. P. Murthy,et al.  Reliability: Modeling, Prediction, and Optimization , 2000 .

[34]  I. Gertsbakh,et al.  PARAMETER ESTIMATION AND HYPOTHESES TESTING FOR NONHOMOGENEOUS POISSON PROCESS , 2003 .

[35]  Gary R. Weckman,et al.  Modeling the reliability of repairable systems in the aviation industry , 2001 .

[36]  Larry H. Crow,et al.  Reliability Analysis for Complex, Repairable Systems , 1975 .

[37]  Chanan Singh,et al.  Detection of ageing in the reliability analysis of thermal generators , 1988 .

[38]  M. Kijima SOME RESULTS FOR REPAIRABLE SYSTEMS WITH GENERAL REPAIR , 1989 .

[39]  Myles Hollander,et al.  Models for Recurrent Events in Reliability and Survival Analysis , 2004 .

[40]  Jiming Ma,et al.  Research on FFOP prediction approach of a pulse generator based on Homogeneous Poisson process , 2011, The Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety.

[41]  Loon Ching Tang,et al.  A simple graphical approach for comparing reliability trends of different units in a fleet , 2002, Annual Reliability and Maintainability Symposium. 2002 Proceedings (Cat. No.02CH37318).

[42]  Liqun Shang,et al.  Application of the principal component analysis and cluster analysis in comprehensive evaluation of thermal power units , 2015, 2015 5th International Conference on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT).

[43]  Hilmi Hussin,et al.  Maintainability analysis of an offshore gas compression train system, a case study , 2013 .

[44]  A. Mosleh,et al.  Bayesian methods for evaluating discrete reliability growth , 2009, 2010 Proceedings - Annual Reliability and Maintainability Symposium (RAMS).

[45]  S. Sagareli Traction power systems reliability concepts , 2004, ASME/IEEE Joint Rail Conference, 2004. Proceedings of the 2004.

[46]  Uday Kumar,et al.  Reliability analysis of drum shearer machine at mechanized longwall mines , 2012 .

[47]  M. Krasich Power law model, correct application in reliability growth do the cumulative times indeed always add up? , 2012, 2012 Proceedings Annual Reliability and Maintainability Symposium.

[48]  Lee J. Bain,et al.  Tests for an Increasing Trend in the Intensity of a Poisson Process: A Power Study , 1985 .

[49]  Peng Wang,et al.  Repairable systems reliability trend tests and evaluation , 2005, Annual Reliability and Maintainability Symposium, 2005. Proceedings..

[50]  Uday Kumar,et al.  Reliability analysis of mining equipment: A case study of a crushing plant at Jajarm Bauxite Mine in Iran , 2008, Reliab. Eng. Syst. Saf..

[51]  T. H. Savits,et al.  Age Dependent Minimal Repair. , 1985 .

[52]  Vasiliy Krivtsov,et al.  Geometric G1-Renewal process as repairable system model , 2015, 2015 Annual Reliability and Maintainability Symposium (RAMS).

[53]  Edsel A Peña,et al.  Dynamic Modelling and Statistical Analysis of Event Times. , 2006, Statistical science : a review journal of the Institute of Mathematical Statistics.

[54]  H. Pham,et al.  Invited reviewImperfect maintenance , 1996 .

[55]  F. Ruggeri,et al.  On the Reliability of Repairable Systems: Methods and Applications , 2006 .

[56]  Min Xie,et al.  Analysis of repairable system failure data using time series models , 1999 .

[57]  Yi‐Hui Liang,et al.  Combining neural networks and genetic algorithms for predicting the reliability of repairable systems , 2008 .

[58]  Yi‐Hui Liang,et al.  Analyzing and forecasting the reliability for repairable systems using the time series decomposition method , 2011 .

[59]  G. Bettini,et al.  Forecasting Fleet Warranty Returns using Modified Reliability Growth Analysis , 2007, 2007 Annual Reliability and Maintainability Symposium.

[60]  P. Lewis A Branching Poisson Process Model for the Analysis of Computer Failure Patterns , 1964 .

[61]  G. B. Anderson,et al.  An overview of the maintenance and reliability of AC traction systems , 1993, Proceedings of the 1993 IEEE/ASME Joint Railroad Conference.

[62]  E. Love,et al.  Generalized models of repairable systems: A survey via stochastic processes formalism , 2014 .

[63]  Loon Ching Tang,et al.  A piecewise constant failure intensity model , 2014, 2014 Reliability and Maintainability Symposium.

[64]  Pradip Kumar Ray,et al.  Reliability analysis of track circuit of Indian railway signalling system , 2007 .

[65]  Saeed Maghsoodloo,et al.  Renewal and Renewal-Intensity Functions with Minimal Repair , 2014 .

[66]  D. J. McConalogue,et al.  On the Tabulation of the Renewal Function , 1982 .

[67]  R. Dekker,et al.  A simple approximation to the renewal function (reliability theory) , 1990 .

[68]  Asit P. Basu,et al.  Statistical Methods for the Reliability of Repairable Systems , 2000 .

[69]  Uday Kumar,et al.  A reliability decision framework for multiple repairable units , 2016, Reliab. Eng. Syst. Saf..

[70]  Bruno Sareni,et al.  Clustering analysis of railway driving missions with niching , 2012 .

[71]  Ataie Mohammad,et al.  Reliability modeling of hydraulic system of drum shearer machine , 2011 .