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

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Official URL: http://www.sciencedirect.com/science/article/pii/S016653160200161X

## Abstract

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.

Item Type: | Article |
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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 |

ID Code: | 15729 |

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Deposited On: | 22 Jun 2012 08:22 |

Last Modified: | 06 Feb 2014 10:30 |

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