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A product-form network for systems with job stealing policies

Published:27 April 2023Publication History
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Abstract

In this paper, we introduce a new product-form queueing network model where servers are always busy. This is obtained by defining a job movement policy that admits instantaneous migrations of jobs from non-empty waiting buffers to empty ones. Thus, the resulting routing scheme is statedependent. This class of networks tends to maximize the system throughput and can be used to model situations where successive refinements on jobs improve the processes quality but are not strictly required to obtain a result.

References

  1. S. Balsamo, P. G. Harrison, and A. Marin. A unifying approach to product-forms in networks with finite capacity constraints. In Proc. of the 2010 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems, pages 25--36, 2010.Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. E. Gelenbe. G-networks with triggered customer movement. Journal of Applied Probability, 30(3):742--748, 1993.Google ScholarGoogle ScholarCross RefCross Ref
  3. P. G. Harrison. Turning back time in markovian process algebra. Theor. Comput. Sci., 290(3):1947--1986, 2003.Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. P. G. Harrison and A. Marin. Product-forms in multi-way synchronizations. Comput. J., 57(11):1693--1710, 2014.Google ScholarGoogle ScholarCross RefCross Ref
  5. J. Hillston. A Compositional Approach to Performance Modelling. Cambridge University Press, USA, 2005.Google ScholarGoogle Scholar
  6. F. P. Kelly. Reversibility and Stochastic Networks. John Wiley & Sons, 1979.Google ScholarGoogle Scholar
  7. B. G. Pittel. Closed exponential networks of queues with saturation: The jackson-type stationary distribution and its asymptotic analysis. Math. Oper. Res., 4(4):357--378, 1979.Google ScholarGoogle ScholarDigital LibraryDigital Library

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  • Published in

    cover image ACM SIGMETRICS Performance Evaluation Review
    ACM SIGMETRICS Performance Evaluation Review  Volume 50, Issue 4
    March 2023
    63 pages
    ISSN:0163-5999
    DOI:10.1145/3595244
    Issue’s Table of Contents

    Copyright © 2023 Copyright is held by the owner/author(s)

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 27 April 2023

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