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Title: Modeling Universal Globally Adaptive Load-Balanced Routing

Abstract

Universal globally adaptive load-balanced (UGAL) routing has been proposed for various interconnection networks and has been deployed in a number of current-generation supercomputers. Although UGAL-based schemes have been extensively studied, most existing results are based on either simulation or measurement. Without a theoretical understanding of UGAL, multiple questions remain: For which traffic patterns is UGAL most suited? Furthermore, what determines the performance of the UGAL-based scheme on a particular network configuration? Here, we develop a set of throughput models for UGALbased on linear programming. We show that the throughput models are valid across the torus, Dragonfly, and Slim Fly network topologies. Finally, we identify a robust model that can accurately and efficiently predict UGAL throughput for a set of representative traffic patterns across different topologies. Our models not only provide a mechanism to predict UGAL performance on large-scale interconnection networks but also reveal the inner working of UGAL and further our understanding of this type of routing.

Authors:
 [1];  [2];  [3];  [2];  [2]; ORCiD logo [4]; ORCiD logo [4]
  1. Oakland Univ., Rochester, MI (United States)
  2. Florida State Univ., Tallahassee, FL (United States)
  3. Univ. of North Florida, Jacksonville, FL (United States)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)
OSTI Identifier:
1565855
Report Number(s):
LA-UR-18-28331
Journal ID: ISSN 2329-4949
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
ACM Transactions on Parallel Computing
Additional Journal Information:
Journal Volume: 6; Journal Issue: 2; Journal ID: ISSN 2329-4949
Publisher:
Association for Computing Machinery
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Mollah, Md Atiqul, Wang, Wenqi, Faizian, Peyman, Rahman, MD Shafayat, Yuan, Xin, Pakin, Scott, and Lang, Michael. Modeling Universal Globally Adaptive Load-Balanced Routing. United States: N. p., 2019. Web. doi:10.1145/3349620.
Mollah, Md Atiqul, Wang, Wenqi, Faizian, Peyman, Rahman, MD Shafayat, Yuan, Xin, Pakin, Scott, & Lang, Michael. Modeling Universal Globally Adaptive Load-Balanced Routing. United States. doi:10.1145/3349620.
Mollah, Md Atiqul, Wang, Wenqi, Faizian, Peyman, Rahman, MD Shafayat, Yuan, Xin, Pakin, Scott, and Lang, Michael. Tue . "Modeling Universal Globally Adaptive Load-Balanced Routing". United States. doi:10.1145/3349620.
@article{osti_1565855,
title = {Modeling Universal Globally Adaptive Load-Balanced Routing},
author = {Mollah, Md Atiqul and Wang, Wenqi and Faizian, Peyman and Rahman, MD Shafayat and Yuan, Xin and Pakin, Scott and Lang, Michael},
abstractNote = {Universal globally adaptive load-balanced (UGAL) routing has been proposed for various interconnection networks and has been deployed in a number of current-generation supercomputers. Although UGAL-based schemes have been extensively studied, most existing results are based on either simulation or measurement. Without a theoretical understanding of UGAL, multiple questions remain: For which traffic patterns is UGAL most suited? Furthermore, what determines the performance of the UGAL-based scheme on a particular network configuration? Here, we develop a set of throughput models for UGALbased on linear programming. We show that the throughput models are valid across the torus, Dragonfly, and Slim Fly network topologies. Finally, we identify a robust model that can accurately and efficiently predict UGAL throughput for a set of representative traffic patterns across different topologies. Our models not only provide a mechanism to predict UGAL performance on large-scale interconnection networks but also reveal the inner working of UGAL and further our understanding of this type of routing.},
doi = {10.1145/3349620},
journal = {ACM Transactions on Parallel Computing},
number = 2,
volume = 6,
place = {United States},
year = {2019},
month = {9}
}

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Works referenced in this record:

Express Cube Topologies for on-Chip Interconnects
conference, February 2009

  • Grot, Boris; Hestness, Joel; Keckler, Stephen W.
  • 2009 IEEE 15th International Symposium on High Performance Computer Architecture
  • DOI: 10.1109/HPCA.2009.4798251