International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Markov Reward Approach and Reliability Associated Cost Model for Machine Tools Maintenance-Planning Optimization

Zeng Wenbin
School of Mechanical and Aerospace Engineering, Jilin University, China. Institute of Energy Conversion Technology, Technical University of Munich, Munich, Germany.

Ilia Frenkel
Center for Reliability and Risk Management, SCE-Shamoon College of Engineering, Israel.

Shen Guixiang
School of Mechanical and Aerospace Engineering, Jilin University, China.

Igor Bolvashenkov
Institute of Energy Conversion Technology, Technical University of Munich, Munich, Germany.

Jörg Kammermann
Institute of Energy Conversion Technology, Technical University of Munich, Munich, Germany.

Hans-Georg Herzog
Institute of Energy Conversion Technology, Technical University of Munich, Munich, Germany.

Lev Khvatskin
Center for Reliability and Risk Management, SCE-Shamoon College of Engineering, Israel.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.4-065

Received on November 19, 2018
  ;
Accepted on April 25, 2019

Abstract

This paper proposes a novel Reliability Associated Cost (RAC) model for machine tools throughout its lifetime that considers two different failure consequences, immediate failure and product rejections increase failure. A maintenance strategy of corrective maintenance combined with overhaul utilized to the maintenance activities of machine tools in the current paper. Markov reward approach is developed for computing of the costs incurred by both failure consequences and maintenance activities and system average availability throughout the machine tools life cycle. The Genetic Algorithm is used to find the optimal repair rates layout and overhaul moments that provide a minimal expected cost of system operation and maintenance actions and satisfies the desired availability requirement. A numerical example is presented in order to illustrate the approach and the results show that the proposed technique can significantly cut the RAC for machine tools.

Keywords- Markov reward approach, Reliability associated cost model, Machine tools, Optimal maintenance-planning.

Citation

Wenbin, Z., Frenkel, I., Guixiang, S., Bolvashenkov, I., Kammermann, J., Herzog, H., & Khvatskin, L. (2019). Markov Reward Approach and Reliability Associated Cost Model for Machine Tools Maintenance-Planning Optimization. International Journal of Mathematical, Engineering and Management Sciences, 4(4), 824-840. https://dx.doi.org/10.33889/IJMEMS.2019.4.4-065.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.

Acknowledgements

Currently, the China Scholarship Council (CSC) funds the stay of ZENG Wenbin at the Institute of Energy Conversion Technology, Munich, Germany.

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