Queueing Systems

, Volume 51, Issue 1, pp 53–76

Analysis of a Multiserver Queue with Setup Times

Authors

  • J. R. Artalejo
    • Department of Statistics and O.R., Faculty of MathematicsComplutense University of Madrid
  • A. Economou
    • Department of MathematicsUniversity of Athens
  • M. J. Lopez-Herrero
    • School of StatisticsComplutense University of Madrid
Article

DOI: 10.1007/s11134-005-1740-6

Cite this article as:
Artalejo, J.R., Economou, A. & Lopez-Herrero, M.J. Queueing Syst (2005) 51: 53. doi:10.1007/s11134-005-1740-6

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.

Keywords

queueing performancemultiserver queuesetup timescontinuous time Markov chaindifference equationsmatrix geometric solutionsnumerical inversion

Copyright information

© Springer Science + Business Media, Inc. 2005