Article ID: | iaor19961972 |
Country: | United Kingdom |
Volume: | 23 |
Issue: | 1 |
Start Page Number: | 53 |
End Page Number: | 62 |
Publication Date: | Jan 1996 |
Journal: | Computers and Operations Research |
Authors: | Koulamas Christos, Iakovou Eleftherios, Ip Chi M. |
A Markov decision model is proposed to update dynamically the optimal cutting speed and tool replacement policy based on information gathered on-line about tool wear. The underlying tool wear process is modeled as a continuous Markov chain, while the mean time to malfunction is dependent on the cutting speed through the Taylor tool life equation. The authors show that under appropriate assumptions the generator matrix of the underlying Markov chain exhibits a separability property that greatly facilitates the solution procedure. The procedure is demonstrated through a numerical example. The proposed model can lead to substantial savings since the optimal machining parameters are computed based on actual tool wear information instead of empirically predetermined estimates for the tool life parameters.