%0 Journal Article
%A Artalejo Rodríguez, Jesús Manuel
%A Hernández-Lerma, O.
%T Performance analysis and optimal control of the Geo/Geo/c queue
%D 2003
%@ 0166-5316
%U https://hdl.handle.net/20.500.14352/50027
%X 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.
%~