Publication

Stochastic Bound on Delay for Guaranteed Rate Nodes

Jean-Yves Le Boudec, Milan Vojnovic
2002
Journal Articles

Abstract

We find that the probabilistic bound on delay in the article by Goyal et al. in 1997 is incorrect. The problem originates from: 1) the difference between stationary and Palm probabilities and 2) treating the arrival counting process over some random time intervals as if the time interval would be fixed. The error is propagated to some later work, e.g., recently by Bensaou et al., which derived some probabilistic delay bounds based on Goyal et al. in 1997. We give fixes to the above problem.

Official source

https://infoscience.epfl.ch/entities/publication/1cd0ac37-19de-40f4-85af-7e324db456fd

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Jean-Yves Le Boudec, Milan Vojnovic
2002
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/1cd0ac37-19de-40f4-85af-7e324db456fd

About this result

Related concepts (26)

Poisson point process

In probability, statistics and related fields, a Poisson point process is a type of random mathematical object that consists of points randomly located on a mathematical space with the essential feature that the points occur independently of one another. The Poisson point process is often called simply the Poisson process, but it is also called a Poisson random measure, Poisson random point field or Poisson point field.

Stochastic process

In probability theory and related fields, a stochastic (stəˈkæstɪk) or random process is a mathematical object usually defined as a sequence of random variables, where the index of the sequence has the interpretation of time. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule.

Confidence interval

In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used. The confidence level, degree of confidence or confidence coefficient represents the long-run proportion of CIs (at the given confidence level) that theoretically contain the true value of the parameter; this is tantamount to the nominal coverage probability.