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Column generation integer programming for allocating jobs with periodic demand variations

Ikbel Belaid 1, 2, * Lionel Eyraud-Dubois 1
* Corresponding author
1 Realopt - Reformulations based algorithms for Combinatorial Optimization
LaBRI - Laboratoire Bordelais de Recherche en Informatique, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : In the context of service hosting in large-scale datacenters, we consider the problem faced by a provider for allocating services to machines. An analysis of a public Google trace corresponding to the use of a production cluster over a long period shows that long-running services experience demand variations with a periodic (daily) pattern, and that services with such a pattern account for most of the overall CPU demand. This leads to an allocation problem where the classical Bin-Packing issue is augmented with the possibility to co-locate jobs whose peaks occur at different times of the day, which is bound to be more efficient than the usual approach that consist in over-provisioning for the maximum demand. In this paper, we propose a column-generation approach to solving this problem, where the subproblem uses a sophisticated SOCP (Second Order Cone Program) formulation. This allows to explicitely select jobs which benefit from being co-allocated together. Experimental results comparing with theoretical lower bounds and with standard packing heuristics shows that this approach is able to provide very efficient assignments in reasonable time.
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Submitted on : Friday, January 8, 2016 - 11:00:53 AM
Last modification on : Tuesday, October 19, 2021 - 11:05:58 PM
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  • HAL Id : hal-01252770, version 1



Ikbel Belaid, Lionel Eyraud-Dubois. Column generation integer programming for allocating jobs with periodic demand variations. International Workshop on Algorithmic Aspects of Cloud Computing, Sep 2015, Patras, Greece. ⟨hal-01252770⟩



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