Machining economics with phase-type distributed tool lives and periodic maintenance control

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 cutt...

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Bibliographic Details
Published in:Computers & operations research 1996, Vol.23 (1), p.53-62
Main Authors: Iakovou, Eleftherios, Ip, Chi M., Koulamas, Christos
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Machine tools
Maintenance management
Markov analysis
Mechanical engineering. Machine design
Operational research and scientific management
Operational research. Management science
Operations research
Reliability theory. Replacement problems
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Summary: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. We 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.
ISSN:0305-0548
1873-765X
0305-0548
DOI:10.1016/0305-0548(94)00092-M