Optimal average cost manufacturing flow controllers: convexity and differentiability
نویسندگان
چکیده
We consider the control of a production facility consisting of a single workstation with multiple failure modes and part types using a continuous flow control model. Technical issues concerning the convexity and differentiability of the differential cost function are investigated. It is proven that under an optimal control policy the differential cost is C1 on attractive control switching boundaries. Index Terms Average cost minimization, value function differentiability, manufacturing flow control. ∗This research was supported by National Science Foundation grant DDM-9215368. †Department of Mathematics, Gordon College, Wenham, MA 01984, (978) 927-2300, FAX (978) 524-3747, [email protected] ‡Department of Manufacturing Engineering, Boston University, Boston, MA 02215, (617) 353-3247, FAX (617) 353-5548, [email protected]
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ورودعنوان ژورنال:
- IEEE Trans. Automat. Contr.
دوره 44 شماره
صفحات -
تاریخ انتشار 1999