Towards Bayesian network methodology for predicting the equipment health factor of complex semiconductor systems

This paper presents a general methodology to improve risk assessment in the specific workshops of semiconductor manufacturers. We are concerned, in this case, with the problem of equipment failures and drifts. These failures are generally observed, with delay, during the product metrology phase. To improve the reactivity of the control system, we propose a predictive approach based on the Bayesian technique. Increased use of these techniques is the result of the advantages obtained. This approach allows early action to maintain, for example, the equipment before it can drift. Also, our contribution consists in proposing a generic model to predict the equipment health factor (EHF), which will define decision support strategies on preventive maintenance to avoid unscheduled equipment downtime. Following the proposed methodology, a data extraction and processing prototype is also designed to identify the real failure modes which will instantiate the Bayesian model. EHF results are decision support elements. They can be further used to improve production performance: reduced cycle time, improved yield and enhanced equipment effectiveness.

[1]  Thomas D. Nielsen,et al.  Latent variable discovery in classification models , 2004, Artif. Intell. Medicine.

[2]  Kevin P. Murphy,et al.  Learning the Structure of Dynamic Probabilistic Networks , 1998, UAI.

[3]  H. Kohli Conversion cost reduction using advanced process control (SPC) and real-time data analysis with ERP linkage [SMT assembly] , 2002, Proceedings of the 4th International Symposium on Electronic Materials and Packaging, 2002..

[4]  Noureddine Zerhouni,et al.  A Data-Driven Failure Prognostics Method Based on Mixture of Gaussians Hidden Markov Models , 2012, IEEE Transactions on Reliability.

[5]  Finn V. Jensen,et al.  Bayesian Networks and Decision Graphs , 2001, Statistics for Engineering and Information Science.

[6]  Finn Verner Jensen,et al.  Introduction to Bayesian Networks , 2008, Innovations in Bayesian Networks.

[7]  Abdelhakim Khatab,et al.  Supervision and Monitoring of Production Systems , 2000 .

[8]  Adnan Darwiche What are Bayesian networks and why are their applications growing across all fields? , 2010 .

[9]  Gilles Dusserre,et al.  Review of 62 risk analysis methodologies of industrial plants , 2002 .

[10]  Suat Tanaydin Robust Design and Analysis for Quality Engineering , 1996 .

[11]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[12]  Nir Friedman,et al.  Building Classifiers Using Bayesian Networks , 1996, AAAI/IAAI, Vol. 2.

[13]  Noureddine Zerhouni,et al.  Remaining Useful Life Estimation of Critical Components With Application to Bearings , 2012, IEEE Transactions on Reliability.

[14]  T. Bayes An essay towards solving a problem in the doctrine of chances , 2003 .

[15]  C.H. Yu,et al.  Virtual metrology: a solution for wafer to wafer advanced process control , 2005, ISSM 2005, IEEE International Symposium on Semiconductor Manufacturing, 2005..

[16]  Flavio S. Fogliatto,et al.  Robust design and analysis for quality engineering , 1997 .

[17]  Stéphane Dauzère-Pérès,et al.  A batching and scheduling algorithm for the diffusion area in semiconductor manufacturing , 2012 .

[18]  Benoît Iung,et al.  Overview on Bayesian networks applications for dependability, risk analysis and maintenance areas , 2012, Eng. Appl. Artif. Intell..

[19]  Michael Gregory,et al.  Manufacturing Systems Engineering , 2015 .

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

[21]  Samuel Bassetto,et al.  Optimisation of the process control in a semiconductor company: model and case study of defectivity sampling , 2011 .

[22]  M. Combacau,et al.  An architecture for control and monitoring of discrete events systems , 1998 .

[23]  R. W. Robinson Counting unlabeled acyclic digraphs , 1977 .

[24]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[25]  Patrice Aknin,et al.  Dynamic bayesian networks modelling maintenance strategies: Prevention of broken rails , 2008 .

[26]  Adnan Darwiche Bayesian networks , 2010, Commun. ACM.

[27]  Éric Zamaï,et al.  DIAGNOSIS FOR CONTROL SYSTEM RECONFIGURATION , 2007 .

[28]  Stuart J. Russell,et al.  Dynamic bayesian networks: representation, inference and learning , 2002 .

[29]  Adnan Darwiche,et al.  Modeling and Reasoning with Bayesian Networks , 2009 .

[30]  Byeng D. Youn,et al.  A generic probabilistic framework for structural health prognostics and uncertainty management , 2012 .

[31]  Fan-Tien Cheng,et al.  A virtual metrology scheme for predicting CVD thickness in semiconductor manufacturing , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[32]  David Heckerman,et al.  A Tutorial on Learning with Bayesian Networks , 1999, Innovations in Bayesian Networks.

[33]  Sun Jin,et al.  A Bayesian network approach for fixture fault diagnosis in launch of the assembly process , 2012 .

[34]  Pat Langley,et al.  An Analysis of Bayesian Classifiers , 1992, AAAI.

[35]  D. Ditmore,et al.  Achieving semiconductor equipment reliability , 1989, Proceedings. Seventh IEEE/CHMT International Electronic Manufacturing Technology Symposium,.

[36]  Ali Siadat,et al.  Dynamic risk management unveil productivity improvements , 2009 .

[37]  Radford M. Neal Probabilistic Inference Using Markov Chain Monte Carlo Methods , 2011 .

[38]  Yang Wei-we,et al.  A Review on , 2008 .

[39]  Lakhmi C. Jain,et al.  Introduction to Bayesian Networks , 2008 .

[40]  David Heckerman,et al.  A Tutorial on Learning with Bayesian Networks , 1998, Learning in Graphical Models.

[41]  Belgacem Bettayeb,et al.  Quality and exposure control in semiconductor manufacturing. Part I: Modelling , 2012 .

[42]  James Moyne,et al.  Run-to-Run Control in Semiconductor Manufacturing , 2000 .

[43]  Yang Liu,et al.  Predictive Modeling for Intelligent Maintenance in Complex Semiconductor Manufacturing Processes. , 2008 .

[44]  Hilbert J. Kappen,et al.  The Cluster Variation Method for Approximate Reasoning in Medical Diagnosis , 2002 .

[45]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[46]  Douglas C. Montgomery,et al.  A review of yield modelling techniques for semiconductor manufacturing , 2006 .

[47]  Silja Renooij,et al.  Probability elicitation for belief networks: issues to consider , 2001, The Knowledge Engineering Review.

[48]  Sébastien Henry,et al.  Logic control law design for automated manufacturing systems , 2012, Eng. Appl. Artif. Intell..

[49]  Mohammed Farouk Bouaziz,et al.  Dependability of complex semiconductor systems: Learning Bayesian networks for decision support , 2011, 2011 3rd International Workshop on Dependable Control of Discrete Systems.

[50]  P.W. Kalgren,et al.  Defining PHM, A Lexical Evolution of Maintenance and Logistics , 2006, 2006 IEEE Autotestcon.

[51]  Mustapha Ouladsine,et al.  A Survey of Health Indicators and Data-Driven Prognosis in Semiconductor Manufacturing Process , 2012 .

[52]  Judea Pearl,et al.  Chapter 2 – BAYESIAN INFERENCE , 1988 .

[53]  Geoffrey E. Hinton,et al.  A View of the Em Algorithm that Justifies Incremental, Sparse, and other Variants , 1998, Learning in Graphical Models.