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Detecting optimum time of control action for a manufacturing system

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Summary

A statistical method for detecting the optimum time of control for a linear system with quadratic loss, is discussed. When the initial state is unknown and only one control action is available, both the optimum time of control and the amount of control are determined from the current observations at that time. Some simulated results are presented and our heuristic method is shown to be fairly satisfactory for practical use. An idea of reducing the bias of our estimate for the optimum time, is also proposed.

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References

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The Institute of Statistical Mathematics

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Suzuki, G. Detecting optimum time of control action for a manufacturing system. Ann Inst Stat Math 30, 15–26 (1978). https://doi.org/10.1007/BF02480195

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  • DOI: https://doi.org/10.1007/BF02480195

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