The global earliest-deadline-first (GEDF) scheduler and its variants are soft-real-time (SRT) optimal for periodic/sporadic tasks, meaning they provide bounded tardiness so long as the underlying platform is not over-utilized. Although their SRT-optimality has long been known, tight tardiness bounds for these schedulers have remained elusive. In this paper, a tardiness bound, that does not depend on the processor or task count, is derived for pseudo-harmonic periodic tasks, which are commonly used in practice, under global-EDF-like (GEL) schedulers. This class of schedulers includes both GEDF and first-in-first-out (FIFO). This bound is shown to be generally tight via an example. Furthermore, it is shown that exact tardiness bounds for GEL-scheduled pseudo-harmonic periodic tasks can be computed in pseudo-polynomial time.
@InProceedings{ahmed_et_al:LIPIcs.ECRTS.2021.11, author = {Ahmed, Shareef and Anderson, James H.}, title = {{Tight Tardiness Bounds for Pseudo-Harmonic Tasks Under Global-EDF-Like Schedulers}}, booktitle = {33rd Euromicro Conference on Real-Time Systems (ECRTS 2021)}, pages = {11:1--11:24}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-192-4}, ISSN = {1868-8969}, year = {2021}, volume = {196}, editor = {Brandenburg, Bj\"{o}rn B.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECRTS.2021.11}, URN = {urn:nbn:de:0030-drops-139428}, doi = {10.4230/LIPIcs.ECRTS.2021.11}, annote = {Keywords: soft real-time systems, multicore, tardiness bounds} }
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