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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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.
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|
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|Deposited On:||13 Jun 2012 07:54|
|Last Modified:||06 Feb 2014 10:28|
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