Remaining useful life prediction using prognostic methodology based on logical analysis of data and Kaplan–Meier estimation

Most of the reported prognostic techniques use a small number of condition indicators and/or use a thresholding strategies in order to predict the remaining useful life (RUL). In this paper, we propose a reliability-based prognostic methodology that uses condition monitoring (CM) data which can deal with any number of condition indicators, without selecting the most significant ones, as many methods propose. Moreover, it does not depend on any thresholding strategies provided by the maintenance experts to separate normal and abnormal values of condition indicators. The proposed prognostic methodology uses both the age and CM data as inputs to estimate the RUL. The key idea behind this methodology is that, it uses Kaplan–Meier as a time-driven estimation technique, and logical analysis of data as an event-driven diagnostic technique to reflect the effect of the operating conditions on the age of the monitored equipment. The performance of the estimated RUL is measured in terms of the difference between the predicted and the actual RUL of the monitored equipment. A comparison between the proposed methodology and one of the common RUL prediction technique; Cox proportional hazard model, is given in this paper. A common dataset in the field of prognostics is employed to evaluate the proposed methodology.

[1]  Wenbin Wang,et al.  Modelling in industrial maintenance and reliability , 2010 .

[2]  Hong Seo Ryoo,et al.  MILP approach to pattern generation in logical analysis of data , 2009, Discret. Appl. Math..

[3]  Toshihide Ibaraki,et al.  An Implementation of Logical Analysis of Data , 2000, IEEE Trans. Knowl. Data Eng..

[4]  J. Klein,et al.  Survival Analysis: Techniques for Censored and Truncated Data , 1997 .

[5]  W. W. Daniel,et al.  Applied Nonparametric Statistics , 1978 .

[6]  B. Saha,et al.  Uncertainty Management for Diagnostics and Prognostics of Batteries using Bayesian Techniques , 2008, 2008 IEEE Aerospace Conference.

[7]  Joseph Mathew,et al.  Condition-based prognosis of machine health , 2009 .

[8]  Kai Goebel,et al.  A Survey of Artificial Intelligence for Prognostics , 2007, AAAI Fall Symposium: Artificial Intelligence for Prognostics.

[9]  P. V. Rao,et al.  Applied Survival Analysis: Regression Modeling of Time to Event Data , 2000 .

[10]  Trevor Hastie,et al.  The Elements of Statistical Learning , 2001 .

[11]  Peter L. Hammer,et al.  Logical analysis of data—An overview: From combinatorial optimization to medical applications , 2006, Ann. Oper. Res..

[12]  Ian Witten,et al.  Data Mining , 2000 .

[13]  Patricia J. Wozniak Applied Nonparametric Statistics (2nd ed.) , 1991 .

[14]  Frank L. Lewis,et al.  Intelligent Fault Diagnosis and Prognosis for Engineering Systems , 2006 .

[15]  Benoît Iung,et al.  Remaining useful life estimation based on stochastic deterioration models: A comparative study , 2013, Reliab. Eng. Syst. Saf..

[16]  Zhigang Tian,et al.  Condition based maintenance optimization considering multiple objectives , 2009, Journal of Intelligent Manufacturing.

[17]  Abhinav Saxena,et al.  Damage propagation modeling for aircraft engine run-to-failure simulation , 2008, 2008 International Conference on Prognostics and Health Management.

[18]  Wenbin Wang,et al.  A prognosis model for wear prediction based on oil-based monitoring , 2007, J. Oper. Res. Soc..

[19]  Bo-Suk Yang,et al.  Application of relevance vector machine and logistic regression for machine degradation assessment , 2010 .

[20]  Hong Seo Ryoo,et al.  Compact MILP models for optimal and Pareto-optimal LAD patterns , 2012, Discret. Appl. Math..

[21]  Zhigang Tian,et al.  A neural network approach for remaining useful life prediction utilizing both failure and suspension histories , 2010 .

[22]  Huairui Guo,et al.  Predicting remaining useful life of an individual unit using proportional hazards model and logistic regression model , 2006, RAMS '06. Annual Reliability and Maintainability Symposium, 2006..

[23]  Aouni A. Lakis,et al.  Diagnosis of rotor bearings using logical analysis of data , 2011 .

[24]  Melania Pintilie,et al.  Competing Risks: A Practical Perspective , 2006 .

[25]  Y. Crama,et al.  Cause-effect relationships and partially defined Boolean functions , 1988 .

[26]  May,et al.  [Wiley Series in Probability and Statistics] Applied Survival Analysis (Regression Modeling of Time-to-Event Data) || Extensions of the Proportional Hazards Model , 2008 .

[27]  Louis-Philippe Kronek,et al.  Logical analysis of survival data: prognostic survival models by detecting high-degree interactions in right-censored data , 2008, ECCB.

[28]  Samuel H. Huang,et al.  System health monitoring and prognostics — a review of current paradigms and practices , 2006 .

[29]  Michael S. Hamada,et al.  Using Degradation Data to Assess Reliability , 2005 .

[30]  Alexander Kogan,et al.  Logical analysis of data – the vision of Peter L. Hammer , 2007, Annals of Mathematics and Artificial Intelligence.

[31]  Joseph Mathew,et al.  Bearing fault prognosis based on health state probability estimation , 2012, Expert Syst. Appl..

[32]  Andrew K. S. Jardine,et al.  Optimizing condition‐based maintenance decisions for equipment subject to vibration monitoring , 1999 .

[33]  Peter L. Hammer,et al.  Coronary Risk Prediction by Logical Analysis of Data , 2003, Ann. Oper. Res..

[34]  Peter L. Hammer,et al.  Pareto-optimal patterns in logical analysis of data , 2004, Discret. Appl. Math..

[35]  Soumaya Yacout,et al.  LAD-CBM; new data processing tool for diagnosis and prognosis in condition-based maintenance , 2012, J. Intell. Manuf..

[36]  อนิรุธ สืบสิงห์,et al.  Data Mining Practical Machine Learning Tools and Techniques , 2014 .

[37]  Joseph Mathew,et al.  Intelligent condition-based prediction of machinery reliability , 2009 .

[38]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[39]  Soumaya Yacout,et al.  Fault diagnosis in power transformers using multi-class logical analysis of data , 2014, J. Intell. Manuf..

[40]  David G. Stork,et al.  Pattern Classification , 1973 .

[41]  Bo-Suk Yang,et al.  Support vector machine in machine condition monitoring and fault diagnosis , 2007 .

[42]  David W. Hosmer,et al.  Applied Survival Analysis: Regression Modeling of Time-to-Event Data , 2008 .

[43]  Elsayed A. Elsayed,et al.  Reliability Engineering , 1996 .