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Performance Evaluation
Volume 60, Issues 1-4, May 2005, Pages 275-302
Performance Modeling and Evaluation of High-Performance Parallel and Distributed Systems
 
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doi:10.1016/j.peva.2004.10.008    
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Copyright © 2004 Elsevier B.V. All rights reserved.

Performance analysis of a QoS capable cluster interconnectstar, open

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Eun Jung Kima, Corresponding Author Contact Information, E-mail The Corresponding Author, Ki Hwan Yumb, E-mail The Corresponding Author and Chita R. Dasc, E-mail The Corresponding Author

aDepartment of Computer Science, Texas A&M University, College Station, TX 77843, USA

bDepartment of Computer Science, University of Texas, San Antonio, TX 78249, USA

cDepartment of Computer Science and Engineering, the Pennsylvania State University, University Park, PA 16802, USA


Available online 8 December 2004.

Abstract

The growing use of clusters in diverse applications, many of which have real-time constraints, requires quality-of-service (QoS) support from the underlying cluster interconnect. All prior studies on QoS-aware cluster routers/networks have used simulation for performance evaluation. In this paper, we present an analytical model for a wormhole-switched router with QoS provisioning. In particular, the model captures message blocking due to wormhole switching in a pipelined router, and bandwidth sharing due to a rate-based scheduling mechanism, called VirtualClock. Then we extend the model to a hypercube-style cluster network. Average message latency for different traffic classes and deadline missing probability for real-time applications are computed using the model.

We evaluate a 16-port router and hypercubes of different dimensions with a mixed workload of real-time and best-effort (BE) traffic. Comparison with the simulation results shows that the single router and the network models are quite accurate in providing the performance estimates, and thus can be used as efficient design tools.

Keywords: Analytical model; Cluster network; Pipelined router architecture; Quality-of-service; VirtualClock; Wormhole switching

Article Outline

1. Introduction
2. A QoS-aware router architecture
3. An analytical model
3.1. Single router model
3.2. Modeling of a cluster interconnect
3.2.1. Average network latency (View the MathML source)
3.3. Average waiting time at the source node
3.4. Deadline missing probability
3.4.1. Deadline missing probability in a single router
3.4.2. Deadline missing probability in a hypercube interconnect
4. Performance results
4.1. Single router results
4.2. n-cube results
4.3. Deadline missing probability results
5. Concluding remarks
Acknowledgements
Appendix A. The appendix summarizes the principal traffic rates in an n-cube
A.1. Traffic rates in an n-cube router
A.2. Computation of Bmiddle(c,s) for Eq. (10)
References
Vitae














star, openA preliminary version of this paper was presented at the 11th GI/ITG Conference on Measuring, Modelling and Evaluation of Computer and Communication Systems (MMB 2001), September 2001.


Corresponding Author Contact InformationCorresponding author.

Performance Evaluation
Volume 60, Issues 1-4, May 2005, Pages 275-302
Performance Modeling and Evaluation of High-Performance Parallel and Distributed Systems
 
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