ue 16(10): e3

Research Article

Approximate performance analysis of generalized join the shortest queue routing

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  • @ARTICLE{10.4108/eai.14-12-2015.2262695,
        author={Jori Selen and Ivo Adan and Stella Kapodistria},
        title={Approximate performance analysis of generalized join the shortest queue routing},
        journal={EAI Endorsed Transactions on Future Internet},
        volume={3},
        number={10},
        publisher={ACM},
        journal_a={UE},
        year={2016},
        month={1},
        keywords={heterogeneous servers, routing policy, approximations},
        doi={10.4108/eai.14-12-2015.2262695}
    }
    
  • Jori Selen
    Ivo Adan
    Stella Kapodistria
    Year: 2016
    Approximate performance analysis of generalized join the shortest queue routing
    UE
    EAI
    DOI: 10.4108/eai.14-12-2015.2262695
Jori Selen1,*, Ivo Adan1, Stella Kapodistria1
  • 1: Eindhoven University of Technology
*Contact email: j.selen@tue.nl

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.