journal article·2019-10-03Open access

Lz-Transform Method and Markov Reward Approach for Flexible Manufacturing System Performance Evaluation

Wenbin Zeng, Guixiang Shen, Bingkun Chen, Ilia Frenkel, Igor Bolvashenkov, Jörg Kammermann, Hans-Georg Herzog, Lev Khvatskin, Anatoly Lisnianski

Applied Sciences· Volume 9· Issue 19

Abstract

This article presents a performance evaluation of a flexible manufacturing system (FMS), in which the system and its components can have different performance levels ranging from perfect functioning to total failure. An original multistate transition process for the FMS’s main component, Computerized Numerical Control (CNC) machine tools, proposed in the current article and treated as an aging process because of its increasing failure rate is investigated. The Markov reward approach is utilized to analyze the availability of CNC machine tools and sensitivity analysis of each non-operational state to the machine’s downtime. To overcome the “state explosion problem” in the subsequent FMS performance evaluation process, an application of the Lz-transform method is proposed to determine the performance evaluation and availability of such aging multistate FMS. An illustrated case is presented to demonstrate the performance evaluation process. The results show that the suggested methods can be implemented in engineering decision making and construction of various aging multistate FMS related to demands, availability, and output performance.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Reliability and Maintenance Optimization · Flexible and Reconfigurable Manufacturing Systems · Product Development and Customization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Key Laboratory of CNC Equipment Reliability, Ministry of Education, School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130022, China

Center for Reliability and Risk Management, Shamoon College of Engineering, Beer Sheva 84100, Israel

Institute of Energy Conversion Technology, Technical University of Munich (TUM), 80333 Munich, Germany

The Israel Electric Corporation Ltd., Haifa 31000, Israel

Funding

Jilin Provincial Department of Science and Technology Development Project

References (49)

Show source-provided references
1. Performance measurement of flexible manufacturing system: A case study
2. A Complex View of Industry 4.010.1177/2158244016653987 ↗
3. Pisching, M.A., Junqueira, F., Santos Filho, D.J., and Miyagi, P.E. (2015). Service composition in the cloud-based manufacturing focused on the industry 4.0. Doctoral Conference on Computing, Electrical and Industrial Systems, Springer.10.1007/978-3-319-16766-4_7 ↗
4. Software-defined Cloud Manufacturing for Industry 4.010.1016/j.procir.2016.07.041 ↗
5. He, C., Zhang, S.Y., Qiu, L.M., Liu, X.J., and Wang, Z.L. (2019). Assembly Tolerance Design Based on Skin Model Shapes Considering Processing Feature Degradation. Appl. Sci., 9.10.3390/app9163216 ↗
6. Browne, J., Dubois, D., Rathmill, K., Sethi, P., and Steke, K.E. (1984). Classification of flexible manufacturing systems. FMS Mag., 14–27.
7. Chang, G.A., and Peterson, W.R. (2015, January 14–17). Modeling and Analysis of Flexible Manufacturing Systems: A Simulation Study. Proceedings of the 2015 ASEE Annual Conference & Exposition, Seattle, WA, USA.
8. Groover, M.P. (2007). Automated Assembly System, Automation, Production Systems, and Computer-Integrated Manufacturing, Prentice Hall Press.
9. Flexible Manufacturing System (FMS): A Review
10. Flexible Manufacturing System Selection Using a Combinatorial Mathematics Based Decision Making Method10.1080/00207540802389227 ↗
11. FMS Selection Using Preference Ranking Method: A Comparative Study
12. A hybrid fuzzy AHP-PROMETHEE decision support system for machine tool selection in flexible manufacturing cell10.1007/s10845-011-0560-2 ↗
13. Evaluating the Effect of Machine and Routing Flexibility on Flexible Manufacturing System Performance
14. Integration of Genetic Algorithm and Monte Carlo to Analyze the Effect of Routing Flexibility10.1007/s00170-015-7247-3 ↗
15. Modeling and Analysis of FMS Performance Variables by ISM, SEM and GTMA Approach10.1016/j.ijpe.2015.10.024 ↗
16. Robust Production Planning and Control for Multi-Stage Systems with Flexible Final Assembly Lines10.1080/00207543.2016.1198506 ↗
17. Testing a Flexible Manufacturing System Facility Production Capacity through Discrete Event Simulation: Automotive Case Study
18. Reliability consideration in the design and analysis of cellular manufacturing systems10.1016/j.ijpe.2006.04.015 ↗
19. Analysis of Cellular Manufacturing Systems in the Presence of Machine Breakdowns10.1108/17410380810847936 ↗
20. Availability evaluation of manufacturing systems using Semi-Markov model10.1080/0951192X.2015.1068454 ↗
21. Analysis of a General Markovian Two-Stage Continuous-Flow Production System with a Finite Buffer10.1016/j.ijpe.2008.05.022 ↗
22. A stochastic model for a machining cell with tool failure and tool replacement considerations10.1016/0305-0548(92)90011-S ↗
23. Reliability analysis of a flexible manufacturing cell10.1016/S0951-8320(99)00056-3 ↗
24. Modelling and evaluation of multi-state reliability of repairable non-series manufacturing system with finite buffers10.1177/1687814019855483 ↗
25. Chen, K.S., Yu, C.M., Hus, T.H., Cai, S.R., and Chiou, K.C. (2019). A Model for Evaluating the Performance of the Bearing Manufacturing Process. Appl. Sci., 9.10.3390/app9153105 ↗
26. Kim, J., and Hwangbo, H. (2018). Sensor-Based Real-Time Detection in Vulcanization Control Using Machine Learning and Pattern Clustering. Sensors, 18.10.3390/s18093123 ↗
27. Composite Performance-Dependability Analysis of Cellular Manufacturing Systems10.1109/70.282548 ↗
28. Modeling Manufacturing Dependability10.1109/70.563639 ↗
29. Machine Reliability and Preventive Maintenance Planning for Cellular Manufacturing Systems10.1016/j.ejor.2006.09.079 ↗
30. Analysis of Reliability and Availability of Serial Processes of Plastic-Pipe Manufacturing Plant10.1108/02656710710740563 ↗
31. Hagen, W.F. (2006, January 23–26). Effects of a Reliability Program on Machine Tool Reliability. Proceedings of the Annual Reliability and Maintainability Symposium, Newport Beach, CA, USA.
32. On sensitivity analysis of aging multi-state system by using Lz-transform10.1016/j.ress.2016.12.001 ↗
33. Bolvashenkov, I., Herzog, H.G., Frenkel, I., Khvatskin, L., and Lisnianski, A. (2018). Safety-Critical Electrical Drives: Topologies, Reliability, Performance, Springer.10.1007/978-3-319-89969-5 ↗
34. On Birnbaum importance assessment for aging multi-state system under minimal repair by using the Lz-transform method10.1016/j.ress.2015.05.006 ↗
35. Availability Assessment for Aging Refrigeration System by Using Lz-transform
36. Lisnianski, A., Frenkel, I., and Ding, Y. (2010). Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers, Springer.10.1007/978-1-84996-320-6 ↗
37. Lisnianski, A., and Frenkel, I. (2012). Lz-Transform for a Discrete-State Continuous-Time Markov Process and its Applications to Multi-State System Reliability. Recent Advances in System Reliability. Signatures, Multi-State Systems and Statistical Inference, Springer.10.1007/978-1-4471-2207-4 ↗
38. A Universal Generating Function
39. Optimal maintenance models with minimal repair, periodic overhaul and complete renewal10.1080/07408179808966567 ↗
40. Xie, M., Dai, Y.S., and Poh, K.L. (2004). Computing System Reliability: Models and Analysis, Kluwer Academic/Plenum Publishers.
41. Howard, R. (1960). Dynamic Programming and Markov Processes, MIT Press.
42. Mine, H., and Osaki, S. (1970). Markovian Decision Processes, Elsevier.
43. Trivedi, K., and Bobbio, A. (2017). Reliability and Availability Engineering. Modeling, Analysis, and Applications, Cambridge University Press.10.1017/9781316163047 ↗
44. Non-homogeneous Markov reward model for aging multi-state system under minimal repair
45. Analysis of a two-stage, flexible production system with unreliable machines, finite buffers and non-negligible setups10.1007/s10696-011-9115-2 ↗
46. Performance Analysis of a Flexible Manufacturing System (FMS)10.1016/j.procir.2017.03.123 ↗
47. Zeng, W.B., Shen, G.X., Bolvashenkov, I., Frenkel, I., Kammermann, J., and Herzog, H.G. (2019, January 29–31). On Non-homogeneous Markov Reward Model to Availability and Importance Analysis for CNC Machine Tools. Proceedings of the Third International Symposium on Stochastic Models in Reliability Engineering, Life Sciences and Operations Management (SMRLO), Beijing, China.
48. Toledano, S., Gartsman, I., Avitan, G., Frenkel, I., and Khvatskin, L. (2016, January 15–18). On Markov Reward Approach to Failure Criticality Importance Assessment for Aging Multi-state System. Proceedings of the 2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO), Beer-Sheva, Israel.10.1109/SMRLO.2016.66 ↗
49. Wang, W., Loman, J., and Vassiliou, P. (2004, January 26–29). Reliability Importance of Components in a Complex System. Proceedings of the Annual Symposium Reliability and Maintainability, 2004-RAMS, Los Angeles, CA, USA.