RT Journal Article
T1 Performance analysis and optimal control of the Geo/Geo/c queue
A1 Artalejo Rodríguez, Jesús Manuel
A1 Hernández-Lerma, O.
AB Discrete-time multiserver queues have been used for many years to investigate the behavior of communication and computer systems in which time is slotted. In this paper, we consider the discrete-time Geo/Geo/cqueue. We first develop an efficient recursive procedure to obtain the steady-state probabilities and prove the convergence to the continuous-time counterpart. We also deal with the infinite-horizon discounted cost criterion for the arrival and service rate control problems. Optimal stationary policies and value functions are determined. This allows us to compare both control problems.
PB Elsevier
SN 0166-5316
YR 2003
FD 2003-03
LK https://hdl.handle.net/20.500.14352/50027
UL https://hdl.handle.net/20.500.14352/50027
LA eng
NO The authors thank the referee for his comments on an earlier version of this paper. It was finished duringa visit of O. Hernández-Lerma to Madrid which was supported by the Secretaria General Técnica del Ministerio de Educación y Cultura. This research was also supported by the projects CONACyT 37355-E and PB98-0837.
NO Secretaria General Técnica del Ministerio de Educación y Cultura
DS Docta Complutense
RD 9 abr 2025