IJMEMES logo

International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


On Non-Homogeneous Markov Reward Model to Availability and Importance Analysis for CNC Machine Tools

On Non-Homogeneous Markov Reward Model to Availability and Importance Analysis for CNC Machine Tools

Zeng Wenbin
Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, Changchun, China.

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

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

Lev Khvatsckin
Center for Reliability and Risk Management, Shamoon College of Engineering, Israel.

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

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

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

DOI https://doi.org/10.33889/IJMEMS.2021.6.1.004

Received on October 12, 2019
  ;
Accepted on November 20, 2019

Abstract

This paper exploits the Markov reward method to availability and importance evaluation for CNC machine tools. The presented paper regards CNC machine tools as a multi-state system that state transitions process caused by elements and subsystem’s failures and corresponding maintenance activities during the lifetime. Simultaneously, considering the time-varying characteristics of the failure rates of subsystems, the non-homogeneous Markov reward model is introduced for evaluation of availability and subsystem importance identification for aging multi-state CNC machine tools under minimal repair. Corresponding procedures for the failure rates, state transition matrix, and reward matrix definition are suggested for the availability and importance measures. A numerical example is presented in order to illustrate the approach.

Keywords- CNC machine Tools, Availability, Non-homogeneous Markov reward model, Time-varying failure rates, Minimal repair, Subsystem’s importance.

Citation

Wenbin, Z., Guixiang, S., Frenkel, I. B., Khvatsckin, L., Bolvashenkov, I., Kammermann, J., & Herzog, H. (2021). On Non-Homogeneous Markov Reward Model to Availability and Importance Analysis for CNC Machine Tools. International Journal of Mathematical, Engineering and Management Sciences, 6(1), 30-43. https://doi.org/10.33889/IJMEMS.2021.6.1.004.