caa a22 4500 445822783 CHVBK 20180317145249.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10626-011-0104-0 doi (NATIONALLICENCE)springer-10.1007/s10626-011-0104-0 Gokbayrak Kagan Department of Industrial Engineering, Bilkent University, 06800, Ankara, Turkey aut State-dependent Control of a Single Stage Hybrid System with Poisson Arrivals [Elektronische Daten] [Kagan Gokbayrak] We consider a single-stage hybrid manufacturing system where jobs arrive according to a Poisson process. These jobs undergo a deterministic process which is controllable. We define a stochastic hybrid optimal control problem and decompose it hierarchically to a lower-level and a higher-level problem. The lower-level problem is a deterministic optimal control problem solved by means of calculus of variations. We concentrate on the stochastic discrete-event control problem at the higher level, where the objective is to determine the service times of jobs. Employing a cost structure composed of process costs that are decreasing and strictly convex in service times, and system-time costs that are linear in system times, we show that receding horizon controllers are state-dependent controllers, where state is defined as the system size. In order to improve upon receding horizon controllers, we search for better state-dependent control policies and present two methods to obtain them. These stochastic-approximation-type methods utilize gradient estimators based on Infinitesimal Perturbation Analysis or Imbedded Markov Chain techniques. A numerical example demonstrates the performance improvements due to the proposed methods. Springer Science+Business Media, LLC, 2011 Poisson arrivals nationallicence Hierarchical decomposition nationallicence Receding horizon control nationallicence State-dependent control policy nationallicence Infinitesimal perturbation analysis nationallicence Imbedded Markov chains nationallicence Stochastic approximation nationallicence Discrete Event Dynamic Systems Springer US; http://www.springer-ny.com 21/4(2011-12-01), 577-592 0924-6703 21:4<577 2011 21 10626 https://doi.org/10.1007/s10626-011-0104-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10626-011-0104-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gokbayrak Kagan Department of Industrial Engineering, Bilkent University, 06800, Ankara, Turkey aut NATIONALLICENCE 773 0- Discrete Event Dynamic Systems Springer US; http://www.springer-ny.com 21/4(2011-12-01), 577-592 0924-6703 21:4<577 2011 21 10626 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer