DocumentCode :
2411503
Title :
Stability and optimization of a multi-stage production system
Author :
Glasserman, Paul ; Tayur, Sridhar
Author_Institution :
Columbia Univ., New York, NY, USA
fYear :
1992
fDate :
1992
Firstpage :
2086
Abstract :
The authors study the control of a multistage production system by a base-stock policy. Such a policy is determined by a set of parameters, one for each stage. The authors derive and analyze estimates of derivatives of costs with respect to these parameters. Derivative estimates can be used to find optimal parameters. For the analysis of steady-state derivates estimates, the stability of the system is examined. Conditions are given under which it has a unique stationary distribution to which it converges from all initial stages. Conditions are also given under which it forms a Harris ergodic Markov chain. The attendant regenerative structure helps establish the convergence of steady-state derivative estimates
Keywords :
Markov processes; optimisation; production control; stability; Harris ergodic Markov chain; base-stock policy; convergence; multistage production system; optimization; regenerative structure; stability; stationary distribution; steady-state derivates estimates; Assembly; Control systems; Convergence; Costs; Equations; Parameter estimation; Production systems; Raw materials; Stability analysis; Steady-state;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
Type :
conf
DOI :
10.1109/CDC.1992.371430
Filename :
371430
Link To Document :
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