Optimal control of single-stage hybrid systems with poisson arrivals and deterministic service times

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dc.citation.epage1320en_US
dc.citation.spage1315en_US
dc.contributor.authorGökbayrak, Kağanen_US
dc.contributor.authorMısırcı, Muzafferen_US
dc.coverage.spatialLimassol, Cyprusen_US
dc.date.accessioned2016-02-08T11:50:13Z
dc.date.available2016-02-08T11:50:13Z
dc.date.issued2005en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.descriptionDate of Conference: 27-29 June 2005en_US
dc.descriptionConference Name: 13th Mediterranean Conference on Control and Automation, MED 2005en_US
dc.description.abstractWe 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.en_US
dc.identifier.doi10.1109/.2005.1467205en_US
dc.identifier.urihttp://hdl.handle.net/11693/27307
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/.2005.1467205en_US
dc.source.titleProceedings of the 13th Mediterranean Conference on Control and Automation, MED 2005en_US
dc.subjectHybrid systemsen_US
dc.subjectOptimal controlen_US
dc.subjectPerturbation analysisen_US
dc.subjectReceding horizon controlleren_US
dc.subjectSteepest descenten_US
dc.subjectStochasticen_US
dc.titleOptimal control of single-stage hybrid systems with poisson arrivals and deterministic service timesen_US
dc.typeConference Paperen_US

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