Free Online Productivity Tools
i2Speak
i2Symbol
i2OCR
iTex2Img
iWeb2Print
iWeb2Shot
i2Type
iPdf2Split
iPdf2Merge
i2Bopomofo
i2Arabic
i2Style
i2Image
i2PDF
iLatex2Rtf
Sci2ools

ESA

2009

Springer

2009

Springer

We introduce the First Fit Matching Periods algorithm for rate-monotonic multiprocessor scheduling of periodic tasks with implicit deadlines and show that it yields asymptotically optimal processor assignments if utilization values are chosen uniformly at random. More precisely we prove that the expected waste is upper bounded by O(n3/4 (log n)3/8 ). Here the waste denotes the ratio of idle times, cumulated over all processors and n gives the number of tasks. The algorithm can be implemented to run in time O(n log n) and even in the worst case, an asymptotic approximation ratio of 2 is guaranteed. Experiments yield an average waste proportional to n0.70 , indicating that the above upper bound on the expected waste is almost tight. While such average-case analyses are a classical topic of Bin Packing, to the best of our knowledge, this is the ﬁrst result dealing with a theoretical average-case analysis for this scheduling problem, which was described by Liu and Layland more than 35 y...

Related Content

Added |
26 May 2010 |

Updated |
26 May 2010 |

Type |
Conference |

Year |
2009 |

Where |
ESA |

Authors |
Andreas Karrenbauer, Thomas Rothvoß |

Comments (0)