A Tighter Analysis of Work Stealing

Marc Tchiboukdjian 1 Nicolas Gast 2 Denis Trystram 1, 3 Jean-Louis Roch 1 Julien Bernard 4
1 MOAIS - PrograMming and scheduling design fOr Applications in Interactive Simulation
Inria Grenoble - Rhône-Alpes, LIG - Laboratoire d'Informatique de Grenoble
2 MESCAL - Middleware efficiently scalable
Inria Grenoble - Rhône-Alpes, LIG - Laboratoire d'Informatique de Grenoble
3 LIG - Laboratoire d'Informatique de Grenoble
4 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
Abstract : Classical list scheduling is a very popular and efficient technique for scheduling jobs in parallel platforms. However, with the increasing number of processors, the cost for managing a single centralized list becomes prohibitive. The objective of this work is to study the extra cost that must be paid when the list is distributed among the processors. We present a general methodology for computing the expected makespan based on the analysis of an adequate potential function which represents the load unbalance between the local lists. A bound on the deviation from the mean is also derived. Then, we apply this technique to show that the expected makespan for scheduling W unit independent tasks on m processors is equal to W/m with an additional term in 3.65log2 W. Moreover, simulations show that our bound is very close to the exact value, approximately 50% off. This new analysis also enables to study the influence of the initial repartition of tasks and the reduction of the number of steals when several thieves can simultaneously steal work in the same processor's list.
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Conference papers
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https://hal.inria.fr/hal-00788864
Contributor : Arnaud Legrand <>
Submitted on : Friday, February 15, 2013 - 1:09:41 PM
Last modification on : Wednesday, March 13, 2019 - 3:02:07 PM

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Marc Tchiboukdjian, Nicolas Gast, Denis Trystram, Jean-Louis Roch, Julien Bernard. A Tighter Analysis of Work Stealing. The 21st International Symposium on Algorithms and Computation (ISAAC), 2010, Jeju Island, South Korea. pp.291-302, ⟨10.1007/978-3-642-17514-5_25⟩. ⟨hal-00788864⟩

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