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

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