### Abstract

For a two-node tandem fluid model with gradual input, we compute the joint steady-state buffer-content distribution. Our proof exploits martingale methods developed by Kella \& Whitt. For the case of finite buffers, we use an insightful sample-path argument to find a proportionality result.

Original language | Undefined |
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Place of Publication | Enschede |

Publisher | University of Twente, Faculty of Mathematical Sciences |

Number of pages | 19 |

ISBN (Print) | 0169-2690 |

Publication status | Published - 2001 |

### Publication series

Name | Memorandum faculteit TW |
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Publisher | University of Twente, Faculty of Mathematical Sciences |

No. | 1563 |

ISSN (Print) | 0169-2690 |

### Keywords

- METIS-201263
- MSC-90B22
- IR-65750
- MSC-60K25
- EWI-3383

## Cite this

Scheinhardt, W. R. W., & Zwart, B. (2001).

*A tandem fluid queue with gradual input*. (Memorandum faculteit TW; No. 1563). Enschede: University of Twente, Faculty of Mathematical Sciences.