NDLI: Wireless network capacity versus Ollivier-Ricci curvature under Heat-Diffusion (HD) protocol

Content Provider	IEEE Xplore Digital Library
Author	Chi Wang Jonckheere, E. Banirazi, R.
Copyright Year	2014
Description	Author affiliation: Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA (Chi Wang; Jonckheere, E.; Banirazi, R.)
Abstract	Negative curvature in the relatively new Ollivier-Ricci sense of a wireless network graph is shown to be the culprit behind large queue occupancy, large routing energy, and restricted capacity region under any throughput optimal protocol. This is the wireless counterpart of the congestion phenomenon occurring in a Gromov negatively curved wired network under least cost path routing. Significantly different protocols call for significantly different curvature concepts to explain the “congestion” phenomenon. The rationale for the Ollivier-Ricci curvature is that it is defined in terms of a transportation cost-formalized by the Wasserstein distance-under a diffusion process. The Heat-Diffusion protocol used in this paper is driven by the queue differential, so that interpreting packets as calories, it lends itself to a genuine heat diffusion, yet retaining the 3-stage process of weighting-scheduling-forwarding of well-known Back-Pressure protocol. The main result is that the transportation definition of the Ollivier-Ricci curvature allows for the direct connection-without resorting to the Laplacian operator of heat calculus-between curvature and queue occupancy, routing energy, and capacity region.
Starting Page	3536
Ending Page	3541
File Size	753482
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6858912
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Protocols Heating Routing High definition video Steady-state Manifolds Laplace equations Control of communication networks Wireless Information theory and control
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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