A tandem queue with delayed server release

W.M. Nawijn

Research output: Book/ReportReportProfessional

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Abstract

We consider a tandem queue with two stations. The rst station is an s-server queue with Poisson arrivals and exponential service times. After terminating his service in the rst station, a customer enters the second station to require service at an exponential 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. An analysis of the generating function of the simultaneous probability distribution of the queue lengths is given. An explicit expression for the stability condition and the solution for s = 2 is obtained.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversiteit Twente
Number of pages12
ISBN (Print)0169-2690
Publication statusPublished - 1997

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherUniversiteit Twente
No.1370

Keywords

  • METIS-141164
  • IR-30524

Cite this

Nawijn, W. M. (1997). A tandem queue with delayed server release. (Memorandum / Department of Applied Mathematics; No. 1370). Enschede: Universiteit Twente.
Nawijn, W.M. / A tandem queue with delayed server release. Enschede : Universiteit Twente, 1997. 12 p. (Memorandum / Department of Applied Mathematics; 1370).
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Nawijn, WM 1997, A tandem queue with delayed server release. Memorandum / Department of Applied Mathematics, no. 1370, Universiteit Twente, Enschede.

A tandem queue with delayed server release. / Nawijn, W.M.

Enschede : Universiteit Twente, 1997. 12 p. (Memorandum / Department of Applied Mathematics; No. 1370).

Research output: Book/ReportReportProfessional

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N2 - We consider a tandem queue with two stations. The rst station is an s-server queue with Poisson arrivals and exponential service times. After terminating his service in the rst station, a customer enters the second station to require service at an exponential 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. An analysis of the generating function of the simultaneous probability distribution of the queue lengths is given. An explicit expression for the stability condition and the solution for s = 2 is obtained.

AB - We consider a tandem queue with two stations. The rst station is an s-server queue with Poisson arrivals and exponential service times. After terminating his service in the rst station, a customer enters the second station to require service at an exponential 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. An analysis of the generating function of the simultaneous probability distribution of the queue lengths is given. An explicit expression for the stability condition and the solution for s = 2 is obtained.

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Nawijn WM. A tandem queue with delayed server release. Enschede: Universiteit Twente, 1997. 12 p. (Memorandum / Department of Applied Mathematics; 1370).