Presentation 2001/9/7
Load Balancing of Distributed Servers on a Heterogeneously Weighted Network
Yukio Hayashi,
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Abstract(in English) We consider the diffusion process associated with a new Laplacian suitable for a network with heterogeneously weighted edges, and apply it to a load balancing problem. We propose the continuous and discrete versions of the Laplace-Beltrami operator induced from a dually-flat structure of information geometric manifold. The properties of Green's formula, Max-Min principle, preservation of total load, and monotone decreasing of the residual norm are derived. By simulation results, it is shown that the convergence of load balancing becomes faster according to the eigenvalues of the Laplacian depended on the network structure and weight values. These results will be applicable to many balancing problems on real networks with asymmetric or different transmission rates or bandwidths.
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Keyword(in English) Riemannian Geometry / Diffusion Equation / Localized and Distributed Processing / Web Robot
Paper # COMP2001-33
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Committee COMP
Conference Date 2001/9/7(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Load Balancing of Distributed Servers on a Heterogeneously Weighted Network
Sub Title (in English)
Keyword(1) Riemannian Geometry
Keyword(2) Diffusion Equation
Keyword(3) Localized and Distributed Processing
Keyword(4) Web Robot
1st Author's Name Yukio Hayashi
1st Author's Affiliation Japan Advanced Institute of Science and Technology, Hokuriku()
Date 2001/9/7
Paper # COMP2001-33
Volume (vol) vol.101
Number (no) 307
Page pp.pp.-
#Pages 8
Date of Issue