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A Logic-Based Benders Decomposition Approach for Mapping Applications on Heterogeneous Multicore Platforms

Published: 20 February 2016 Publication History

Abstract

The development of efficient methods for mapping applications on heterogeneous multicore platforms is a key issue in the field of embedded systems. In this article, a novel approach based on the Logic-Based Benders decomposition principle is introduced for mapping complex applications on these platforms, aiming at optimizing their execution time. To provide optimal solutions for this problem in a short time, a new hybrid model that combines Integer Linear Programming (ILP) and Constraint Programming (CP) models is introduced. Also, to reduce the complexity of the model and its solution time, a set of novel techniques for generating additional constraints called Benders cuts is proposed. An extensive set of experiments has been performed in which synthetic applications described by Directed Acyclic Graphs (DAGs) were mapped to a number of heterogeneous multicore platforms. Moreover, experiments with DAGs that correspond to two real-life applications have also been performed. Based on the experimental results, it is proven that the proposed approach outperforms the pure ILP model in terms of the solution time and quality of the solution. Specifically, the proposed approach is able to find an optimal solution within a time limit of 2 hours in the vast majority of performed experiments, while the pure ILP model fails. Also, for the cases where both methods fail to find an optimal solution within the time limit, the solution of the proposed approach is systematically better than the solution of the ILP model.

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Published In

cover image ACM Transactions on Embedded Computing Systems
ACM Transactions on Embedded Computing Systems  Volume 15, Issue 1
February 2016
530 pages
ISSN:1539-9087
EISSN:1558-3465
DOI:10.1145/2872313
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 20 February 2016
Accepted: 01 October 2015
Revised: 01 August 2015
Received: 01 March 2015
Published in TECS Volume 15, Issue 1

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Author Tags

  1. Benders decomposition
  2. Task scheduling
  3. constraint programming
  4. integer linear programming
  5. multicore embedded platforms

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  • (2022)Logic-based Benders decomposition with a partial assignment acceleration technique for avionics schedulingComputers and Operations Research10.1016/j.cor.2022.105916146:COnline publication date: 1-Oct-2022
  • (2021)Real-Time Imprecise Computation Tasks Mapping for DVFS-Enabled Networked SystemsIEEE Internet of Things Journal10.1109/JIOT.2020.30449108:10(8246-8258)Online publication date: 15-May-2021
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  • (2018)Mapping and Scheduling Hard Real Time Applications on Multicore Systems - The ARGO ApproachApplied Reconfigurable Computing. Architectures, Tools, and Applications10.1007/978-3-319-78890-6_56(700-711)Online publication date: 8-Apr-2018
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