Stability of real-time lot-scheduling and machine replacement policies with quality levels
Sethi, S.P.; Sorger, G.; Xun Yu Zhou
Automatic Control, IEEE Transactions on
Volume 45, Issue 11, Nov 2000 Page(s): 2193 - 2196
Digital Object Identifier   10.1109/9.887687
Summary: We consider a single machine, multiproduct manufacturing system which can operate at finitely many quality levels. The quality of the machine deteriorates according to a continuous-time Markov process and the only way to improve the quality is by replacing the machine by a new one. In this framework we derive conditions for the stability of the system under a simple class of real-time scheduling/replacement policies. The stability notion that we employ is the recurrence of the total work backlog.

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