2026-06-01T02:44:26Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/500272024-03-11T15:16:25Zcom_20.500.14352_14col_20.500.14352_15
Performance analysis and optimal control of the Geo/Geo/c queue
Artalejo Rodríguez, Jesús Manuel
Hernández-Lerma, O.
519.8
Discrete queues
Multiple servers
Optimal control
Steady-state distribution
Investigación operativa (Matemáticas)
1207 Investigación Operativa
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.
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.
Secretaria General Técnica del Ministerio de Educación y Cultura
Depto. de Estadística e Investigación Operativa
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T09:36:40Z
2023-06-20T09:36:40Z
2003-03
journal article
https://hdl.handle.net/20.500.14352/50027
0166-5316
10.1016/S0166-5316(02)00161-X
eng
CONACyT 37355-E
PB98-0837
restricted access
application/pdf
Elsevier