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

• Published in: International journal of mathematical, engineering and management sciences Vol. 6; no. 1; pp. 30 - 43
• Main Authors: Wenbin, Zeng, Guixiang, Shen, Frenkel, Ilia B., Khvatsckin, Lev, Bolvashenkov, Igor, Kammermann, Jörg, Herzog, Hans-Georg
• Format: Journal Article
• Language: English
• Published: Dehradun International Journal of Mathematical, Engineering and Management Sciences 01.02.2021; Ram Arti Publishers
• Subjects: availability; cnc machine tools; Engineering schools; Failure analysis; Machine shops; minimal repair; non-homogeneous markov reward model; Preventive maintenance; Shutdowns; subsystem’s importance; time-varying failure rates; China; Germany; Israel
• ISSN: 2455-7749; 2455-7749
• DOI: 10.33889/IJMEMS.2021.6.1.004

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.