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technical-note

New perspectives on network calculus

Published: 31 August 2008 Publication History

Abstract

Originated in communications engineering and theoretically rooted in idempotent analysis, the theory of network calculus (NetCal) presents an elegant methodology for offering performance guarantees in deterministic queuing systems. In this research we developed two new formulations of Net-Cal, each of which bears some unique insights. A fuzzy formulation maps NetCal's (min,+) convolution operator to the addition of fuzzy numbers. A conjugate perspective based on the notion of Legendre transform leads to a new NetCal formulation to be termed as CT-NetCal, which possesses some distinct advantages in modeling, computation and interpretation.

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Cited By

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  • (2016)Envelope modeling of renewable resource variability and capacityComputers and Operations Research10.1016/j.cor.2015.07.02066:C(272-283)Online publication date: 1-Feb-2016
  • (2010)On the model transform in stochastic network calculus2010 IEEE 18th International Workshop on Quality of Service (IWQoS)10.1109/IWQoS.2010.5542751(1-9)Online publication date: Jun-2010
  • (2009)Application of Residuation Theory in Network CalculusProceedings of the 2009 IEEE International Conference on Networking, Architecture, and Storage10.1109/NAS.2009.38(180-183)Online publication date: 9-Jul-2009
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Published In

cover image ACM SIGMETRICS Performance Evaluation Review
ACM SIGMETRICS Performance Evaluation Review  Volume 36, Issue 2
September 2008
138 pages
ISSN:0163-5999
DOI:10.1145/1453175
Issue’s Table of Contents
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 31 August 2008
Published in SIGMETRICS Volume 36, Issue 2

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Author Tags

  1. fuzzy number addition
  2. legendre transform
  3. network calculus
  4. product norm

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Cited By

View all
  • (2016)Envelope modeling of renewable resource variability and capacityComputers and Operations Research10.1016/j.cor.2015.07.02066:C(272-283)Online publication date: 1-Feb-2016
  • (2010)On the model transform in stochastic network calculus2010 IEEE 18th International Workshop on Quality of Service (IWQoS)10.1109/IWQoS.2010.5542751(1-9)Online publication date: Jun-2010
  • (2009)Application of Residuation Theory in Network CalculusProceedings of the 2009 IEEE International Conference on Networking, Architecture, and Storage10.1109/NAS.2009.38(180-183)Online publication date: 9-Jul-2009
  • (2009)A matrix interpretation of network calculus2009 First International Conference on Future Information Networks10.1109/ICFIN.2009.5339599(45-49)Online publication date: Oct-2009
  • (undefined)Envelope Modeling of Renewable Resource Variability and CapacitySSRN Electronic Journal10.2139/ssrn.2271177

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