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Production control of manufacturing systems with production rate-dependent failure rates

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2 Author(s)
Liberopoulos, George ; Dept. of Manuf. Eng., Boston Univ., MA, USA ; Caramanis, M.

It is known that for single-part-type production systems with homogeneous Markovian machine failure rates, special single threshold feedback policies, called hedging point policies, are optimal, and the stationary probability distribution of the part-type surplus, for given tentative hedging point values, can be obtained analytically. This approach is extended to multiple threshold policies with production rate-dependent machine failure rates. It is shown that the stationary distribution of the part-type surplus can be obtained under the extended policy and in the presence of production rate-dependent failure rates. The advantage of multiple threshold policies is that they can provide a piecewise constant (step function) approximation of any feedback policy. It is observed that hedging point policies are not always optimal and, in fact, feedback policies are not always optimal either

Published in:

Automatic Control, IEEE Transactions on  (Volume:39 ,  Issue: 4 )