Stochastic Tool Life Models in Flexible Manufacturing

B.F. Lamond, M.S. Sodhi and Michael Noel

Working Papers from Laval - Faculte des sciences de administration

Abstract: We address the problem of choosing the cutting speed of a flexible machine-tool to minimize the expected total processing time. The tool life is a random variable with a known distribution. Tool failures cause a set-up time and thus increase processing time. We assume the coefficient of variation is given and the mean tool life is a function of the cutting speed governed by Taylor's formula. We analyse the problem using renewal theory and obtain an exact solution for the gamma distribution. A numerical procedure is provided and a comparison is made with the deterministic and exponential cases.

Keywords: PRODUCTION; DECISION MAKING (search for similar items in EconPapers)
JEL-codes: D20 D21 (search for similar items in EconPapers)
Pages: 24 pages
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:fth:lavadm:98-007

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