### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Faculty of Mathematical Sciences |

Number of pages | 15 |

ISBN (Print) | 0169-2690 |

Publication status | Published - 2000 |

### Publication series

Name | Memorandum / Faculty of Mathematical Sciences |
---|---|

Publisher | University of Twente, Faculty of Mathematical Sciences |

No. | 1531 |

### Keywords

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

### Cite this

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

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*Note on a tandem queue with delayed server release*. Memorandum / Faculty of Mathematical Sciences, no. 1531, University of Twente, Faculty of Mathematical Sciences, Enschede.

**Note on a tandem queue with delayed server release.** / Nawijn, W.M.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Note on a tandem queue with delayed server release

AU - Nawijn, W.M.

N1 - Imported from MEMORANDA

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - EWI-3351

KW - IR-60818

KW - METIS-141215

KW - MSC-60K30

M3 - Report

SN - 0169-2690

T3 - Memorandum / Faculty of Mathematical Sciences

BT - Note on a tandem queue with delayed server release

PB - University of Twente, Faculty of Mathematical Sciences

CY - Enschede

ER -