Analysis of a Multiserver Queue with Setup Times

Authors:
J. R. Artalejo;A. Economou;M. J. Lopez-Herrero
Affiliations:
Department of Statistics and O.R., Faculty of Mathematics, Complutense University of Madrid, Madrid, Spain 28040;Department of Mathematics, University of Athens, Athens, Greece 15784;School of Statistics, Complutense University of Madrid, Madrid, Spain 28040
Venue:
Queueing Systems: Theory and Applications
Year:
2005

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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.