### Impacto

Artalejo, Jesús R. and Economou, Antonis and Lopez-Herrero, M. J.
(2005)
*Analysis of a multiserver queue with setup times.*
Queueing Systems, 51
(1-2).
pp. 53-76.
ISSN 0257-0130

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Official URL: http://www.springerlink.com/content/7n794743w823xv8h/

## Abstract

This paper deals with the analysis of an M/M/c queueing system with setup times. This queueing model captures the major characteristics of phenomena occurring in production when the system consists in a set of machines monitored by a single operator.We carry out an extensive analysis of the system including limiting distribution of the system state, waiting time analysis, busy period and maximum queue length.

Item Type: | Article |
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Additional Information: | We thank the referees for their constructive comments on an earlier version of the paper. J.R. Artalejo and M.J. Lopez-Herrero thank the support received from DGINV through the research project BFM2002-02189. A. Economou was supported by the University of Athens grant ELKE/70/4/6415 and by the Greek Ministry of Education and European Union Program PYTHAGORAS/2004. |

Uncontrolled Keywords: | Queueing Performance, Multiserver Queue, Setup Times, Continuous Time Markov Chain, Difference Equations, Matrix Geometric Solutions, Numerical Inversion |

Subjects: | Sciences > Mathematics > Operations research |

ID Code: | 15605 |

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Deposited On: | 13 Jun 2012 07:54 |

Last Modified: | 06 Feb 2014 10:28 |

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