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Efficient computation of buffer capacities for cyclo-static dataflow graphs

Published: 04 June 2007 Publication History

Abstract

A key step in the design of cyclo-static real-time systems is the determination of buffer capacities. In our multi-processor system, we apply back-pressure, which means that tasks wait for space in output buffers. Consequently buffer capacities affect the throughput. This requires the derivation of buffer capacities that both result in a satisfaction of the throughput constraint, and also satisfy the constraints on the maximum buffer capacities. Existing exact solutions suffer from the computational complexity that is associated with the required conversion from a cyclo-static dataflow graph to a single-rate dataflow graph. In this paper we present an algorithm, with polynomial computational complexity, that does not require this conversion and that obtains close to minimal buffer capacities. The algorithm is applied to an MP3 play-back application that is mapped on our multi-processor system. For this application, we see that a cyclo-static dataflow model can reduce the buffer capacities by 50% compared to a multi-rate dataflow model.

References

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M. J. G. Bekooij et al. Dataflow Analysis for Real-Time Embedded Multiprocessor System Design, chapter 15. Dynamic and Robust Streaming Between Connected CE Devices. Kluwer Academic Publishers, 2005.
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D. Bertsimas and J. N. Tsitsiklis. Introduction to Linear Optimization. Athena Scientific, 1997.
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G. Bilsen et al. Cyclo-Static Dataflow. IEEE Transactions on Signal Processing, 44(2):397--408, February 1996.
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R. Govindarajan et al. Minimizing Buffer Requirement under Rate-Optimal Schedules in Regular Dataflow Networks. Journal of VLSI Signal Processing, 31(3), 2002.
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E. A. Lee and D. G. Messerschmitt. Synchronous Dataflow. Proceedings of the IEEE, 75(9):1235--1245, September 1987.
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C. W. Mercer et al. Processor Capacity Reserves: Operating System Support for Multimedia Applications. In Proc. IEEE Int'l Conference on Multimedia Computing and Systems, pages 90--99, 1994.
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T. M. Parks et al. A Comparison of Synchronous and Cyclo-Static Dataflow. In Proc. IEEE Asilomar Conference on Signals, Systems and Computers, pages 204--210, October 1995.
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S. Stuijk et al. Exploring Trade-Offs in Buffer Requirements and Throughput Constraints for Synchronous Dataflow Graphs. In Proc. Design Automation Conference (DAC), pages 889--904, July 2006.
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M. H. Wiggers et al. Efficient Computation of Buffer Capacities for Multi-Rate Real-Time Systems with Back-Pressure. In Proc. Int'l Conference on Hardware/Software Codesign and System Synthesis (CODES+ISSS), October 2006.

Cited By

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  • (2024)Automated Buffer Sizing of Dataflow Applications in a High-level Synthesis WorkflowACM Transactions on Reconfigurable Technology and Systems10.1145/362610317:1(1-26)Online publication date: 27-Jan-2024
  • (2022)K-Periodic Scheduling for Throughput-Buffering Trade-Off Exploration of CSDFACM Transactions on Embedded Computing Systems10.1145/355976022:1(1-28)Online publication date: 29-Oct-2022
  • (2019)Monotonic Optimization of Dataflow Buffer SizesJournal of Signal Processing Systems10.1007/s11265-018-1415-291:1(21-32)Online publication date: 1-Jan-2019
  • Show More Cited By

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      cover image ACM Conferences
      DAC '07: Proceedings of the 44th annual Design Automation Conference
      June 2007
      1016 pages
      ISBN:9781595936271
      DOI:10.1145/1278480
      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: 04 June 2007

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      Author Tags

      1. buffer capacity
      2. dataflow
      3. system-on-chip

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      DAC '07 Paper Acceptance Rate 152 of 659 submissions, 23%;
      Overall Acceptance Rate 1,770 of 5,499 submissions, 32%

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      Cited By

      View all
      • (2024)Automated Buffer Sizing of Dataflow Applications in a High-level Synthesis WorkflowACM Transactions on Reconfigurable Technology and Systems10.1145/362610317:1(1-26)Online publication date: 27-Jan-2024
      • (2022)K-Periodic Scheduling for Throughput-Buffering Trade-Off Exploration of CSDFACM Transactions on Embedded Computing Systems10.1145/355976022:1(1-28)Online publication date: 29-Oct-2022
      • (2019)Monotonic Optimization of Dataflow Buffer SizesJournal of Signal Processing Systems10.1007/s11265-018-1415-291:1(21-32)Online publication date: 1-Jan-2019
      • (2018)Throughput-Buffering Trade-Off Analysis for Scenario-Aware Dataflow ModelsProceedings of the 26th International Conference on Real-Time Networks and Systems10.1145/3273905.3273921(265-275)Online publication date: 10-Oct-2018
      • (2017)ADFGProceedings of the 25th International Conference on Real-Time Networks and Systems10.1145/3139258.3139267(158-167)Online publication date: 4-Oct-2017
      • (2017)Performance Analysis of Weakly-Consistent Scenario-Aware Dataflow GraphsJournal of Signal Processing Systems10.1007/s11265-016-1193-787:1(157-175)Online publication date: 1-Apr-2017
      • (2016)SWE-X10Proceedings of the Second Internationsl Workshop on Extreme Scale Programming Models and Middleware10.5555/3018814.3018820(32-39)Online publication date: 13-Nov-2016
      • (2016)Tokens vs. SignalsJournal of Signal Processing Systems10.1007/s11265-015-0971-y85:1(23-43)Online publication date: 1-Oct-2016
      • (2015)Incremental Analysis of Cyclo-Static Synchronous Dataflow GraphsACM Transactions on Embedded Computing Systems10.1145/279298114:4(1-26)Online publication date: 8-Dec-2015
      • (2015)Maximizing the Number of Good Dies for Streaming Applications in NoC-Based MPSoCs Under Process VariationACM Transactions on Embedded Computing Systems10.1145/278596814:4(1-26)Online publication date: 24-Sep-2015
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