Artalejo, Jesús R. and Hernández-Lerma , O. (2003) Performance analysis and optimal control of the Geo/Geo/c queue. Performance Evaluation, 52 (1). pp. 15-39. ISSN 0166-5316
Restricted to Repository staff only until 31 December 2020.
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.
|Additional Information:||The authors thank the referee for his comments on an earlier version of this paper. It was finished during a 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.|
|Uncontrolled Keywords:||Discrete queues; Multiple servers; Optimal control; Steady-state distribution|
|Subjects:||Sciences > Mathematics > Operations research|
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|Deposited On:||22 Jun 2012 10:22|
|Last Modified:||22 Jun 2012 10:22|
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