### Abstract

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

Place of Publication | Enschede |

Publisher | Stochastic Operations Research (SOR) |

Number of pages | 19 |

ISBN (Print) | 0169-2690 |

Publication status | Published - 2001 |

### Publication series

Name | Memorandum faculteit TW |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1608 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-68M20
- IR-65795
- METIS-201267
- EWI-3428
- MSC-60K25

### Cite this

*Analysis of a feedback fluid model for heterogeneous TCP sources*. (Memorandum faculteit TW; No. 1608). Enschede: Stochastic Operations Research (SOR).

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*Analysis of a feedback fluid model for heterogeneous TCP sources*. Memorandum faculteit TW, no. 1608, Stochastic Operations Research (SOR), Enschede.

**Analysis of a feedback fluid model for heterogeneous TCP sources.** / Mandjes, M.R.H.; van Foreest, N.D.; Scheinhardt, Willem R.W.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Analysis of a feedback fluid model for heterogeneous TCP sources

AU - Mandjes, M.R.H.

AU - van Foreest, N.D.

AU - Scheinhardt, Willem R.W.

N1 - Imported from MEMORANDA

PY - 2001

Y1 - 2001

N2 - In this paper we consider a bottleneck link and buffer used by one or two fluid sources subject to feedback. During overflow, the buffer sends negative feedback signals to the sources to reduce the sending rate. Otherwise the buffer sends positive signals to indicate that the sources can increase the rate. The analysis is targeted at the Transport Control Protocol of the Internet. In this specific context we find closed form expressions for the eigenvalues and eigenvectors of the solution for the single-source case. The case of two sources extends the single-source analysis considerably so that now source parameters, e.g. feedback rate, can be individually specified. By deriving a sufficient number of boundary conditions for the solution values and derivatives we prove that the related two-point boundary value problem is uniquely solvable in the stationary case. We establish also a numerically efficient procedure to compute the coefficients of the solution of the differential equations. The numerical results of this model are presented in an accompanying paper.

AB - In this paper we consider a bottleneck link and buffer used by one or two fluid sources subject to feedback. During overflow, the buffer sends negative feedback signals to the sources to reduce the sending rate. Otherwise the buffer sends positive signals to indicate that the sources can increase the rate. The analysis is targeted at the Transport Control Protocol of the Internet. In this specific context we find closed form expressions for the eigenvalues and eigenvectors of the solution for the single-source case. The case of two sources extends the single-source analysis considerably so that now source parameters, e.g. feedback rate, can be individually specified. By deriving a sufficient number of boundary conditions for the solution values and derivatives we prove that the related two-point boundary value problem is uniquely solvable in the stationary case. We establish also a numerically efficient procedure to compute the coefficients of the solution of the differential equations. The numerical results of this model are presented in an accompanying paper.

KW - MSC-68M20

KW - IR-65795

KW - METIS-201267

KW - EWI-3428

KW - MSC-60K25

M3 - Report

SN - 0169-2690

T3 - Memorandum faculteit TW

BT - Analysis of a feedback fluid model for heterogeneous TCP sources

PB - Stochastic Operations Research (SOR)

CY - Enschede

ER -