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Minimum cost dead band adjustment schemes under tool-wear effects and delayed dynamics

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  • Luceño, Alberto

Abstract

Discrete feedback dead band schemes can be used in process control applications when the cost of adjusting the process is important. This article provides general methods to evaluate the long-run average adjustment interval and mean-squared deviation from target corresponding to dead band adjustment schemes under very general assumptions concerning both the process disturbances and the process dynamics. The former are assumed to be nonstationary and to show nonnull deterministic drifts, possibly because of tool-wear. The latter may exhibit delayed effects.

Suggested Citation

  • Luceño, Alberto, 2000. "Minimum cost dead band adjustment schemes under tool-wear effects and delayed dynamics," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 165-178, November.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:2:p:165-178
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    References listed on IDEAS

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    1. Helmut Schneider & Kwei Tang & Colm O'Cinneide, 1990. "Optimal Control of a Production Process Subject to Random Deterioration," Operations Research, INFORMS, vol. 38(6), pages 1116-1122, December.
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    Cited by:

    1. George Box & Alberto Luceno, 2002. "Feedforward as a supplement to feedback adjustment in allowing for feedstock changes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(8), pages 1241-1254.

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