Stability of Real-Time Lot Scheduling Policies for an Unreliable Machine
IEEE Transactions on Automatic Control, Vol. 37, No. 2, pp. 1966-1970, 1992
5 Pages Posted: 8 Apr 2008 Last revised: 31 Jan 2019
Date Written: 1992
Abstract
A single-machine multiproduct manufacturing system with random breakdowns and random repair times is considered. Under a weak capacity condition on the system it is shown that the total work-in-progress (WIP) is a recurrent stochastic process. By replacing the stochastic model by a deterministic one with preventive maintenance activities scheduled on a regular basis or by strengthening the capacity condition, the boundaries of WIP and expected WIP, respectively, over time can be shown.
Keywords: maintenance engineering, production control, reliability theory, stability, stochastic processes, preventive maintenance, random breakdowns, random repair times, real-time lot scheduling policies, recurrence, single-machine multiproduct manufacturing system, total work-in-process
JEL Classification: M11, C0
Suggested Citation: Suggested Citation