Browsing by Subject "Two-stage"

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    Optimal control of a two-stage stochastic hybrid manufacturing system with Poisson arrivals and exponential service times
    (IEEE, 2005) Gökbayrak, Kağan; Selvi, Ömer
    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.
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    Optimal hybrid control of a two-stage manufacturing system
    (IEEE, 2006) Gökbayrak, Kağan; Selvi, Ömer
    We consider a two-stage serial hybrid system for which the arrival times are known and the service times are controllable. We derive some optimal sample path characteristics, in particular, we show that no buffering is observed between stages. The original non-smooth optimal control problem is first transformed into a convex optimization problem which is then simplified by the no buffer property. Further simplifications are possible for the bulk arrival case.