A simple derivation of the waiting time distributions in a non-preemptive M/M/c queue with priorities

Lars A. van Vianen, Adriana F. Gabor, Jan C.W. van Ommeren

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Abstract

In this article we give a new derivation for the waiting time distributions in an M=M=c queue with multiple priorities and a common service rate by using elementary lattice paths counting. An advantage of the approach is that it does not require inversion of the Laplace-Stieltjes transform.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages13
Publication statusPublished - 31 Dec 2014

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherUniversity of Twente, Department of Applied Mathematics
No.2039
ISSN (Print)1874-4850

Keywords

  • IR-93876
  • METIS-309802
  • Multi-server queue
  • EWI-25541
  • lattice-paths
  • non-preemptive priority

Cite this

van Vianen, L. A., Gabor, A. F., & van Ommeren, J. C. W. (2014). A simple derivation of the waiting time distributions in a non-preemptive M/M/c queue with priorities. (Memorandum / Department of Applied Mathematics; No. 2039). Enschede: University of Twente, Department of Applied Mathematics.