Load Balancing by Network Curvature Control

  • Mingji Lou Western Digital Lake Forest, CA 92692, USA
  • Edmond Jonckheere University of Southern California Los Angeles, CA 90089-2563, USA
  • Francis Bonahon University of Southern California Los Angeles, CA 90089-2563, USA
  • Bhaskar Krishnamachari University of Southern California Los Angeles, CA 90089-2563, USA
  • Yuliy Baryshnikov Alcatel-Lucent Murray Hill, NJ 07974-0636, USA

Abstract

The traditional heavy-tailed interpretation of congestion is challenged in this paper. A counter example shows that a network with uniform degree can have significant traffic congestion when the degree is larger than 6. A profound understanding of what causes congestion is reestablished, based on the network curvature theorem. A load balancing algorithm based on curvature control is presented with network applications.

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Published
2011-03-01
How to Cite
LOU, Mingji et al. Load Balancing by Network Curvature Control. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 6, n. 1, p. 134-149, mar. 2011. ISSN 1841-9844. Available at: <http://univagora.ro/jour/index.php/ijccc/article/view/2208>. Date accessed: 11 aug. 2020. doi: https://doi.org/10.15837/ijccc.2011.1.2208.

Keywords

network congestion, curvature, inertia, Gromov hyperbolic graphs, Poincaré disk, load balancing, Yamabe flow