Note on a tandem queue with delayed server release

W.M. Nawijn

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Abstract

We consider a tandem queue with two stations. The first station is an $s$-server queue with Poisson arrivals and exponential service times. After terminating his service in the first station, a customer enters the second station to require service at a single server, while in the meantime he is blocking his server in station 1 until he completes service in station 2, whereupon the server in station 1 is released. Two cases are considered. In the first case it is assumed that the service times in the second station are exponentially distributed. The solution of this model can be formulated using the matrix-geometric method. In the second case $s=2$ and, the service times are generally distributed. The model is analyzed using the supplementary variable technique, obtaining the relevant probability generating functions.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty of Mathematical Sciences
Number of pages15
ISBN (Print)0169-2690
Publication statusPublished - 2000

Publication series

NameMemorandum / Faculty of Mathematical Sciences
PublisherUniversity of Twente, Faculty of Mathematical Sciences
No.1531

Keywords

  • EWI-3351
  • IR-60818
  • METIS-141215
  • MSC-60K30

Cite this

Nawijn, W. M. (2000). Note on a tandem queue with delayed server release. (Memorandum / Faculty of Mathematical Sciences; No. 1531). Enschede: University of Twente, Faculty of Mathematical Sciences.