Multiprocessor extensions to real-time calculus

Hennadiy Leontyev, Samarjit Chakraborty, James H. Anderson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations


Many embedded platforms consist of a heterogeneous collection of processing elements, memory modules, and communication subsystems. These components often implement different scheduling/arbitration policies, have different interfaces, and are supplied by different vendors. Hence, compositional techniques for modeling and analyzing such platforms are of interest. In prior work, the real-time calculus framework has proven to be very effective in this regard. However, real-time calculus has heretofore been limited to systems with uniprocessor processing elements, which is a serious impediment given the advent of multicore technologies. In this paper, a two-step approach is proposed that allows the power of real-time calculus to be applied in globally-scheduled multiprocessor systems: first, assuming that job response-time bounds are given, determine whether these bounds are met; second, using these bounds, determine the resulting residual processor supply and streams of job completion events using formalisms from real-time calculus. For this methodology to be applied in settings where response-time bounds are not specified, such bounds must be determined. Though this is an issue that warrants further investigation, a method is discussed for calculating such bounds that is applicable to a large family of fixed job-priority schedulers. The utility of the proposed analysis framework is demonstrated using a case study.

Original languageEnglish
Title of host publicationProceedings - Real-Time Systems Symposium, RTSS 2009
Number of pages12
StatePublished - 2009
EventReal-Time Systems Symposium, RTSS 2009 - Washington, D.C., United States
Duration: 1 Dec 20094 Dec 2009

Publication series

NameProceedings - Real-Time Systems Symposium
ISSN (Print)1052-8725


ConferenceReal-Time Systems Symposium, RTSS 2009
Country/TerritoryUnited States
CityWashington, D.C.


  • Component-based design
  • Multiprocessor scheduling
  • Real-time calculus


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