### Abstract

We consider a finite-buffer packet multiplexer to which traffic arrives from several independent sources. The traffic from each of the sources is regulated, i.e., the amount of traffic that can enter the multiplexer is constrained by known regulator constraints. The regulator constraints depend on the source and are more general than those resulting from cascaded leaky buckets. We assume that the traffic is adversarial to the extent permitted by the regulators. For lossless multiplexing, we show that if the original multiplexer is lossless it is possible to allocate bandwidth and buffer to the sources so that the resulting segregated systems are lossless. For lossy multiplexing, we use our results for lossless multiplexing to estimate the loss probability of the multiplexer. Our estimate involves transforming the original system into two independent resource systems, and using adversarial sources for the two independent resources to obtain a bound on the loss probabilities for the transformed system. We show that the adversarial sources are not extremal on-off sources, even when the regulator consists of a peak rate controller in series with a leaky bucket. We explicitly characterize the form of the adversarial source for the transformed problem. We also provide numerical results for the case of the simple regulator.

Original language | English (US) |
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Title of host publication | Proceedings - IEEE INFOCOM |

Publisher | IEEE |

Pages | 347-355 |

Number of pages | 9 |

Volume | 1 |

State | Published - 1998 |

Event | Proceedings of the 1998 17th Annual IEEE Conference on Computer Communications, INFOCOM. Part 1 (of 3) - San Francisco, CA, USA Duration: Mar 29 1998 → Apr 2 1998 |

### Other

Other | Proceedings of the 1998 17th Annual IEEE Conference on Computer Communications, INFOCOM. Part 1 (of 3) |
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City | San Francisco, CA, USA |

Period | 3/29/98 → 4/2/98 |

### Fingerprint

### ASJC Scopus subject areas

- Hardware and Architecture
- Electrical and Electronic Engineering

### Cite this

*Proceedings - IEEE INFOCOM*(Vol. 1, pp. 347-355). IEEE.

**Packet multiplexers with adversarial regulated traffic.** / Rajagopal, Srini; Reisslein, Martin; Ross, Keith.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - IEEE INFOCOM.*vol. 1, IEEE, pp. 347-355, Proceedings of the 1998 17th Annual IEEE Conference on Computer Communications, INFOCOM. Part 1 (of 3), San Francisco, CA, USA, 3/29/98.

}

TY - GEN

T1 - Packet multiplexers with adversarial regulated traffic

AU - Rajagopal, Srini

AU - Reisslein, Martin

AU - Ross, Keith

PY - 1998

Y1 - 1998

N2 - We consider a finite-buffer packet multiplexer to which traffic arrives from several independent sources. The traffic from each of the sources is regulated, i.e., the amount of traffic that can enter the multiplexer is constrained by known regulator constraints. The regulator constraints depend on the source and are more general than those resulting from cascaded leaky buckets. We assume that the traffic is adversarial to the extent permitted by the regulators. For lossless multiplexing, we show that if the original multiplexer is lossless it is possible to allocate bandwidth and buffer to the sources so that the resulting segregated systems are lossless. For lossy multiplexing, we use our results for lossless multiplexing to estimate the loss probability of the multiplexer. Our estimate involves transforming the original system into two independent resource systems, and using adversarial sources for the two independent resources to obtain a bound on the loss probabilities for the transformed system. We show that the adversarial sources are not extremal on-off sources, even when the regulator consists of a peak rate controller in series with a leaky bucket. We explicitly characterize the form of the adversarial source for the transformed problem. We also provide numerical results for the case of the simple regulator.

AB - We consider a finite-buffer packet multiplexer to which traffic arrives from several independent sources. The traffic from each of the sources is regulated, i.e., the amount of traffic that can enter the multiplexer is constrained by known regulator constraints. The regulator constraints depend on the source and are more general than those resulting from cascaded leaky buckets. We assume that the traffic is adversarial to the extent permitted by the regulators. For lossless multiplexing, we show that if the original multiplexer is lossless it is possible to allocate bandwidth and buffer to the sources so that the resulting segregated systems are lossless. For lossy multiplexing, we use our results for lossless multiplexing to estimate the loss probability of the multiplexer. Our estimate involves transforming the original system into two independent resource systems, and using adversarial sources for the two independent resources to obtain a bound on the loss probabilities for the transformed system. We show that the adversarial sources are not extremal on-off sources, even when the regulator consists of a peak rate controller in series with a leaky bucket. We explicitly characterize the form of the adversarial source for the transformed problem. We also provide numerical results for the case of the simple regulator.

UR - http://www.scopus.com/inward/record.url?scp=0031650894&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031650894&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0031650894

VL - 1

SP - 347

EP - 355

BT - Proceedings - IEEE INFOCOM

PB - IEEE

ER -