Joint cache partition and job assignment on multi-core processors

Avinatan Hassidim, Haim Kaplan, Omry Tuval

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

Abstract

Multicore shared cache processors pose a challenge for designers of embedded systems who try to achieve minimal and predictable execution time of workloads consisting of several jobs. To address this challenge the cache is statically partitioned among the cores and the jobs are assigned to the cores so as to minimize the makespan. Several heuristic algorithms have been proposed that jointly decide how to partition the cache among the cores and assign the jobs. We initiate a theoretical study of this problem which we call the joint cache partition and job assignment problem. By a careful analysis of the possible cache partitions we obtain a constant approximation algorithm for this problem. For some practical special cases we obtain a 2-approximation algorithm, and show how to improve the approximation factor even further by allowing the algorithm to use additional cache. We also study possible improvements that can be obtained by allowing dynamic cache partitions and dynamic job assignments. We define a natural restriction of the well known scheduling problem on unrelated machines in which machines are ordered by "strength". We call this restriction the ordered unrelated machines scheduling problem. We show that our joint cache partition and job assignment problem is harder than this scheduling problem. The ordered unrelated machines scheduling problem is of independent interest and we give a polynomial time algorithm for certain natural workloads.

Original languageEnglish
Title of host publicationAlgorithms and Data Structures - 13th International Symposium, WADS 2013, Proceedings
Pages378-389
Number of pages12
DOIs
StatePublished - 2013
Event13th International Symposium on Algorithms and Data Structures, WADS 2013 - London, ON, Canada
Duration: 12 Aug 201314 Aug 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8037 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th International Symposium on Algorithms and Data Structures, WADS 2013
Country/TerritoryCanada
CityLondon, ON
Period12/08/1314/08/13

Keywords

  • cache partition
  • job assignment

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