An analytical model for torus networks in the presence of batch message arrivals with hot-spot destinations

Yulei Wu, Geyong Min*, Mohamed Ould-Khaoua, Hao Yin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Interconnection networks are hardware fabrics supporting communications between individual processors in multicomputers. The low-dimensional k-ary n-cubes (or torus) with adaptive wormhole switching have attracted significant research efforts to construct high-performance interconnection networks in contemporary multi-computers. The arrival process and destination distribution of messages have great effects on network performance. With the aim of capturing the characteristics of the realistic traffic pattern and obtaining a deep understanding of the performance behaviour of interconnection networks, this paper presents an analytical model to investigate the message latency in adaptive-routed wormhole-switched torus networks where there exists hot-spot nodes and the message arrivals follow a batch arrival process. Each generated message has a given probability to be directed to the hot-spot node. The average degree of virtual channel multiplexing is computed by the GE/G/1/V queueing system with finite buffer capacity. We compare analytical results of message latency with those obtained through the simulation experiments in order to validate the accuracy of the derived model.

Original languageEnglish
Pages (from-to)38-47
Number of pages10
JournalInternational Journal of Automation and Computing
Issue number1
Publication statusPublished - Feb 2009
Externally publishedYes


  • GE/G/1/V
  • Generalised exponential distribution
  • Interconnection networks
  • Multi-computers
  • Non-uniform traffic

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Applied Mathematics


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