Queueing Systems

, Volume 51, Issue 1, pp 53-76

First online:

Analysis of a Multiserver Queue with Setup Times

  • J. R. ArtalejoAffiliated withDepartment of Statistics and O.R., Faculty of Mathematics, Complutense University of Madrid
  • , A. EconomouAffiliated withDepartment of Mathematics, University of Athens
  • , M. J. Lopez-HerreroAffiliated withSchool of Statistics, Complutense University of Madrid

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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.


queueing performance multiserver queue setup times continuous time Markov chain difference equations matrix geometric solutions numerical inversion