Asymptotic Optimality in Hierarchical Control of Manufacturing Systems under Uncertainty: State of the Art

Operations Research Proceedings 1990, Aug. 28-31, 1990, Vienna, Austria, W. Buhler, G. Feichtinger, R. Hartl, F. Radermacher, and P. Stahly (Eds.), Springer-Verlag, Berlin, 1992, 249-263

Posted: 6 May 2020

See all articles by Suresh Sethi

Suresh Sethi

University of Texas at Dallas - Naveen Jindal School of Management

Qing Zhang

Department of Mathematics, University of Georgia

Date Written: 1990

Abstract

This paper presents a state-of-the-art review of asymptotic analyses of hierarchical manufacturing systems with stochastic demand and machines subject to breakdown and repair. The rate of change in machine states is much larger than the rate of fluctuation in demand and the rate of discounting of costs. The machine state process is modelled as a Markov process which may depend on the rate of production, a control variable in the system. Results for construction of feedback and open loop asymptotic optimal controls and associated error bounds are discussed.

Keywords: Manufacturing System, Error Bound, Open Loop, Part Type, Level Problem

JEL Classification: C61, M11, M20

Suggested Citation

Sethi, Suresh and Zhang, Qing, Asymptotic Optimality in Hierarchical Control of Manufacturing Systems under Uncertainty: State of the Art (1990). Operations Research Proceedings 1990, Aug. 28-31, 1990, Vienna, Austria, W. Buhler, G. Feichtinger, R. Hartl, F. Radermacher, and P. Stahly (Eds.), Springer-Verlag, Berlin, 1992, 249-263, Available at SSRN: https://ssrn.com/abstract=3592724

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

Qing Zhang

Department of Mathematics, University of Georgia ( email )

Athens, GA 30602-6254
United States

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