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A Residual Service Curve of Rate-Latency Server Used by Sporadic Flows Computable in Quadratic Time for Network Calculus

Authors Marc Boyer , Pierre Roux , Hugo Daigmorte , David Puechmaille

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Author Details

Marc Boyer
  • ONERA / DTIS - Université de Toulouse, F-31055 Toulouse, France
Pierre Roux
  • ONERA / DTIS - Université de Toulouse, F-31055 Toulouse, France
Hugo Daigmorte
  • RealTime-at-Work, F-54600 Villers-lès-Nancy, France
David Puechmaille
  • RealTime-at-Work, F-54600 Villers-lès-Nancy, France

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Marc Boyer, Pierre Roux, Hugo Daigmorte, and David Puechmaille. A Residual Service Curve of Rate-Latency Server Used by Sporadic Flows Computable in Quadratic Time for Network Calculus. In 33rd Euromicro Conference on Real-Time Systems (ECRTS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 196, pp. 14:1-14:21, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)


Computing response times for resources shared by periodic workloads (tasks or data flows) can be very time consuming as it depends on the least common multiple of the periods. In a previous study, a quadratic algorithm was provided to upper bound the response time of a set of periodic tasks with a fixed-priority scheduling. This paper generalises this result by considering a rate-latency server and sporadic workloads and gives a response time and residual curve that can be used in other contexts. It also provides a formal proof in the Coq language.

Subject Classification

ACM Subject Classification
  • Networks → Formal specifications
  • Networks → Network performance evaluation
  • Networks → Network reliability
  • Software and its engineering → Formal methods
  • General and reference → Verification
  • Network Calculus
  • response time
  • residual curve
  • rate-latency server
  • sporadic workload
  • formal proof
  • Coq


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