### Abstract

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

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 21 |

Publication status | Published - 2003 |

### Publication series

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

Publisher | University of Twente, Department of Applied Mathematics |

No. | 1686 |

ISSN (Print) | 0169-2690 |

### Keywords

- EWI-3506
- METIS-212725
- IR-65871
- MSC-60K25

### Cite this

*Continuous feedback fluid queues*. (Memorandum Faculty of Mathematical Sciences; No. 1686). Enschede: University of Twente, Department of Applied Mathematics.

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*Continuous feedback fluid queues*. Memorandum Faculty of Mathematical Sciences, no. 1686, University of Twente, Department of Applied Mathematics, Enschede.

**Continuous feedback fluid queues.** / Scheinhardt, Willem R.W.; van Foreest, N.D.; Mandjes, M.R.H.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Continuous feedback fluid queues

AU - Scheinhardt, Willem R.W.

AU - van Foreest, N.D.

AU - Mandjes, M.R.H.

N1 - Imported from MEMORANDA

PY - 2003

Y1 - 2003

N2 - We investigate a fluid buffer which is modulated by a stochastic background process, while the momentary behavior of the background process depends on the current buffer level in a continuous way. Loosely speaking the feedback is such that the background process behaves `as a Markov process' with generator $Q(y)$ at times when the buffer level is $y$, where the entries of $Q(y)$ are continuous functions of $y$. Moreover, the flow rates for the buffer may also depend continuously on the current buffer level. Such models are interesting in the context of closed-loop telecommunication networks, in which sources interact with network buffers, but may also be deployed in the study of certain production systems.

AB - We investigate a fluid buffer which is modulated by a stochastic background process, while the momentary behavior of the background process depends on the current buffer level in a continuous way. Loosely speaking the feedback is such that the background process behaves `as a Markov process' with generator $Q(y)$ at times when the buffer level is $y$, where the entries of $Q(y)$ are continuous functions of $y$. Moreover, the flow rates for the buffer may also depend continuously on the current buffer level. Such models are interesting in the context of closed-loop telecommunication networks, in which sources interact with network buffers, but may also be deployed in the study of certain production systems.

KW - EWI-3506

KW - METIS-212725

KW - IR-65871

KW - MSC-60K25

M3 - Report

T3 - Memorandum Faculty of Mathematical Sciences

BT - Continuous feedback fluid queues

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -