Title :
Stability of real-time lot scheduling policies for an unreliable machine
Author :
Lou, Sheldon ; Sethi, Suresh ; Sorger, Gerhard
Author_Institution :
Fac. of Manage., Toronto Univ., Ont., Canada
fDate :
12/1/1992 12:00:00 AM
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 activities; production control; random breakdowns; random repair times; real-time lot scheduling policies; recurrent stochastic process; single-machine multiproduct manufacturing system; stability; total work-in-progress; unreliable machine; weak capacity condition; Electric breakdown; Frequency; H infinity control; Production; Random variables; Stability; Stochastic processes;
Journal_Title :
Automatic Control, IEEE Transactions on