Approximate performance analysis of generalized join the shortest queue routing

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Abstract

In this paper we propose a highly accurate approximate performance analysis of a heterogeneous server system with a processor sharing service discipline and a general job-size distribution under a generalized join the shortest queue (GJSQ) routing protocol. The GJSQ routing protocol is a natural extension of the well-known join the shortest queue routing policy that takes into account the non-identical service rates in addition to the number of jobs at each server. The performance metrics that are of interest here are the equilibrium distribution and the mean and standard deviation of the number of jobs at each server. We show that the latter metrics are near-insensitive to the job-size distribution using simulation experiments. By applying a single queue approximation we model each server as a single server queue with a state-dependent arrival process, independent of other servers in the system, and derive the distribution of the number of jobs at the server. These state-dependent arrival rates are intended to capture the inherent correlation between servers in the original system and behave in a rather atypical way
Original languageEnglish
Title of host publicationVALUETOOLS'15 Proceedings of the 9th EAI International Conference on Performance Evaluation Methodologies and Tools, Berlin, 14-16 December 2015
EditorsW. Knottenbelt, K. Wolter, A. Busic, M. Gribaudo, P. Reinecke
Place of PublicationBrussels, Belgium
PublisherInstitute for Computer Sciences, Social-Informatics and Telecommunications Engineering (ICST)
Pages103-110
Number of pages8
ISBN (Electronic)978-1-63190-096-9
DOIs
Publication statusPublished - 2016
Event9th EAI International Conference on Performance Evaluation Methodologies and Tools (Valuetools 2015), December 14–16, 2015, Berlin, Germany - Berlin, Germany
Duration: 14 Dec 201516 Dec 2015
http://valuetools.org/2015/show/home

Conference

Conference9th EAI International Conference on Performance Evaluation Methodologies and Tools (Valuetools 2015), December 14–16, 2015, Berlin, Germany
Abbreviated titleValuetools 2015
CountryGermany
CityBerlin
Period14/12/1516/12/15
Internet address

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Cite this

Selen, J., Adan, I. J. B. F., & Kapodistria, S. (2016). Approximate performance analysis of generalized join the shortest queue routing. In W. Knottenbelt, K. Wolter, A. Busic, M. Gribaudo, & P. Reinecke (Eds.), VALUETOOLS'15 Proceedings of the 9th EAI International Conference on Performance Evaluation Methodologies and Tools, Berlin, 14-16 December 2015 (pp. 103-110). Brussels, Belgium: Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering (ICST). https://doi.org/10.4108/eai.14-12-2015.2262695