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3rd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Estimating the Worst-case Delay in FIFO Tandems Using Network Calculus

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  • @INPROCEEDINGS{10.4108/ICST.VALUETOOLS2008.4388,
        author={Luca Bisti and Luciano Lenzini and Enzo Mingozzi and Giovanni Stea},
        title={Estimating the Worst-case Delay in FIFO Tandems Using Network Calculus},
        proceedings={3rd International ICST Conference on Performance Evaluation Methodologies and Tools},
        publisher={ICST},
        proceedings_a={VALUETOOLS},
        year={2010},
        month={5},
        keywords={Network Calculus FIFO-multiplexing Delay Bound.},
        doi={10.4108/ICST.VALUETOOLS2008.4388}
    }
    
  • Luca Bisti
    Luciano Lenzini
    Enzo Mingozzi
    Giovanni Stea
    Year: 2010
    Estimating the Worst-case Delay in FIFO Tandems Using Network Calculus
    VALUETOOLS
    ICST
    DOI: 10.4108/ICST.VALUETOOLS2008.4388
Luca Bisti1,*, Luciano Lenzini1,*, Enzo Mingozzi1,*, Giovanni Stea1,*
  • 1: Dipartimento di Ingegneria dell’Informazione, University of Pisa, Italy, Via Diotisalvi, 2, 56122 Pisa, Italy - Ph. +39 050 2217599
*Contact email: l.bisti@iet.unipi.it, l.lenzini@iet.unipi.it, e.mingozzi@iet.unipi.it, g.stea@iet.unipi.it

Abstract

This paper addresses the problem of estimating the worst-case end-to-end delay for a flow in a tandem of FIFO multiplexing nodes, following up our previous work [12]. We show that, contrary to the expectations, the state-of-the-art method for computing delay bounds, i.e. upper bounds on the worst-case delay, called the Least Upper Delay Bound (LUDB) methodology, may actually be larger than the worst-case delay even in simple cases. Thus, we first devise a method to compute improved delay bounds. Then, in order to assess how close the derived bounds are to the actual, still unknown, worst-case delays, we devise a method to compute lower bounds on the worst-case delay. Our analysis shows that the gap between the upper and lower bounds is quite small in many practical cases, which implicitly validates the upper bounds themselves.

Keywords
Network Calculus FIFO-multiplexing Delay Bound.
Published
2010-05-16
Publisher
ICST
Modified
2010-05-16
http://dx.doi.org/10.4108/ICST.VALUETOOLS2008.4388
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