Non-Asymptotic Performance Analysis of Size-Based Routing Policies

Eitan Bachmat, Josu Doncel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

We investigate the performance of two size-based routing policies: the Size Interval Task Assignment (SITA) and Task Assignment based on Guessing Size (TAGS). We consider a system with two servers and Bounded Pareto distributed job sizes with tail parameter 1 where the difference between the size of the largest and the smallest job is finite. We show that the ratio between the mean waiting time of TAGS over the mean waiting time of SITA is unbounded when the largest job size is large and the arrival rate times the largest job size is less than one. We provide numerical experiments that show that our theoretical findings extend to Bounded Pareto distributed job sizes with tail parameter different to 1.

Original languageEnglish
Title of host publicationProceedings - 2020 IEEE 28th International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 2020
PublisherIEEE Computer Society
ISBN (Electronic)9781728192383
DOIs
StatePublished - 17 Nov 2020
Event28th IEEE International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 2020 - Nice, France
Duration: 17 Nov 202018 Nov 2020

Publication series

NameProceedings - IEEE Computer Society's Annual International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunications Systems, MASCOTS
Volume2020-November
ISSN (Print)1526-7539

Conference

Conference28th IEEE International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, MASCOTS 2020
Country/TerritoryFrance
CityNice
Period17/11/2018/11/20

Keywords

  • Heavy-tailed distributions
  • Parallel Servers
  • Size-based Routing

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications
  • Software
  • Modeling and Simulation

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