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3rd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

A new framework supporting the bottleneck analysis of multiclass queueing networks

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  • @INPROCEEDINGS{10.4108/ICST.VALUETOOLS2008.4383,
        author={Jonatha Anselmi},
        title={A new framework supporting the bottleneck analysis of multiclass queueing networks},
        proceedings={3rd International ICST Conference on Performance Evaluation Methodologies and Tools},
        publisher={ICST},
        proceedings_a={VALUETOOLS},
        year={2010},
        month={5},
        keywords={Multiclass Queueing Networks Bottleneck Analysis Load Dependent Asymptotic Analysis Linear Programming},
        doi={10.4108/ICST.VALUETOOLS2008.4383}
    }
    
  • Jonatha Anselmi
    Year: 2010
    A new framework supporting the bottleneck analysis of multiclass queueing networks
    VALUETOOLS
    ICST
    DOI: 10.4108/ICST.VALUETOOLS2008.4383
Jonatha Anselmi1,*
  • 1: Politecnico di Milano, Dipartimento di Elettronica e Informazione, Via Ponzio 34/5, I-20133 Milan, Italy
*Contact email: anselmi@elet.polimi.it

Abstract

In this paper, we introduce a new framework supporting the bottleneck analysis of closed, multiclass BCMP queueing networks with large population sizes. First, we provide a sufficient and necessary condition establishing the existence of a single bottleneck. Then, we derive the new framework proposing efficient algorithms for the identification of queueing networks bottlenecks by means of linear programming. Our analysis reduces the computational requirements of existing techniques and, under general assumptions, it is able to handle load-dependent stations. Theoretical and practical insights on the asymptotic behavior of multiclass networks are investigated as application of the proposed framework.

Keywords
Multiclass Queueing Networks Bottleneck Analysis Load Dependent Asymptotic Analysis Linear Programming
Published
2010-05-16
Publisher
ICST
Modified
2010-05-16
http://dx.doi.org/10.4108/ICST.VALUETOOLS2008.4383
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