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Analysis of a Multiserver Queue with Setup Times |
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| Authors: | J R Artalejo A Economou M J Lopez-Herrero |
| Institution: | (1) Department of Statistics and O.R., Faculty of Mathematics, Complutense University of Madrid, Madrid, 28040, Spain;(2) Department of Mathematics, University of Athens, Panepistemioupolis, Athens, 15784, Greece;(3) School of Statistics, Complutense University of Madrid, Madrid, 28040, Spain |
| 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. AMS subject classification: 90B22, 60K25 |
| Keywords: | queueing performance multiserver queue setup times continuous time Markov chain difference equations matrix geometric solutions numerical inversion |
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