Browsing by Subject "Stochastic"

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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 control of single-stage hybrid systems with poisson arrivals and deterministic service times
    (IEEE, 2005) Gökbayrak, Kağan; Mısırcı, Muzaffer
    We tackle an optimal control problem for a single-stage hybrid system with Poisson arrivals and deterministic service times. In our setting, not only that the optimization problem is non-convex and non-differentiable, but also future arrival times are unknown at the times of decision. We propose a state-dependent service times policy where the state is defined as the system size. These service times are determined iteratively by a steepest descent algorithm whose derivative information is supplied by an infinitesimal perturbation analysis derivative estimator. We also propose an improved receding horizon controller with zero-length time window that utilizes the interarrival time distribution information available from the observed arrivals. Performances of these methods are compared to the optimal performance obtained from the Forward Decompositon Algorithm for which all future arrival times are known. It is also shown that the utilization of the observed interarrival time distribution information improves the performance of the receding horizon controller with zero-length time window.