Analysis of an M/M/1 Retrial Queue with Speed Scaling

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 383)

Abstract

Recently, queues with speed scaling have received considerable attention due to their applicability to data centers, enabling a better balance between performance and energy consumption. This paper proposes a new model where blocked customers must leave the service area and retry after a random time, with retrial rate either varying proportionally to the number of retrying customers (linear retrial rate) or non-varying (constant retrial rate). For both, we study the case without and with setup time. In all four cases, we obtain an exact solution for the stationary queue length distribution. This document presents the resulting expressions as well as their derivation.

Keywords

Data center Energy efficiency Speed scaling Setup time Retrial queue 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Mathematical and Computing SciencesTokyo Institute of TechnologyTokyoJapan
  2. 2.Department of Telecommunications and Information ProcessingGhent UniversityGentBelgium

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