Optimal control of a two-stage stochastic hybrid manufacturing system with Poisson arrivals and exponential service times
Author
Gökbayrak, Kağan
Selvi, Ömer
Date
2005Source Title
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC 2005
Publisher
IEEE
Pages
6940 - 6945
Language
English
Type
Conference PaperItem Usage Stats
122
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91
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Abstract
Extending earli'er work on single-stage stochastic hybrid system models, we consider a two-stage stochastic hybrid system where the job arrivals are represented through a Poisson process, and the service times required to attain a desired physical state are exponentially distributed dependent on the controllable process rates. For the case where the costs associated with the process rates and the inventory levels are non-decreasing convex, and the process rates take values from finite sets, we show that there exist threshold policies on both inventory levels for selecting the optimal process rates at each station.
Keywords
Hybrid systemsOptimal rate control
Stochastic
Two-stage
Distributed parameter control systems
Mathematical models
Optimal control systems
Poisson distribution
Set theory
Finite sets
Single stage stochastic hybrid system models
Stochastic control systems
Permalink
http://hdl.handle.net/11693/27314Published Version (Please cite this version)
http://dx.doi.org/10.1109/CDC.2005.1583279Collections
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