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

See all articles by Sheldon Lou

Sheldon Lou

Independent

Suresh Sethi

University of Texas at Dallas - Naveen Jindal School of Management

Gerhard Sorger

University of Vienna - Faculty of Business, Economics, and Statistics

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

Lou, Sheldon and Sethi, Suresh and Sorger, Gerhard, Stability of Real-Time Lot Scheduling Policies for an Unreliable Machine (1992). IEEE Transactions on Automatic Control, Vol. 37, No. 2, pp. 1966-1970, 1992, Available at SSRN: https://ssrn.com/abstract=1117305

Sheldon Lou

Independent ( email )

Suresh Sethi (Contact Author)

University of Texas at Dallas - Naveen Jindal School of Management ( email )

800 W. Campbell Road, SM30
Richardson, TX 75080-3021
United States

Gerhard Sorger

University of Vienna - Faculty of Business, Economics, and Statistics ( email )

Vienna, A-1210
Austria

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