Closing the gap in the multicast capacity of hybrid wireless networks

Authors:
Shaojie Tang;Xufei Mao;Taeho Jung;Junze Han;Xiang-Yang Li;Boliu Xu;Chao Ma
Affiliations:
Illinois Institute of Technology, Chicago, IL, USA;Tsinghua University, Beijing, China;Illinois Institute of Technology, Chicago, IL, USA;Illinois Institute of Technology, Chicago, IL, USA;Illinois Institute of Technology, Chicago, IL, USA;Illinois Institute of Technology, Chicago, IL, USA;Illinois Institute of Technology, Chicago, IL, USA
Venue:
Proceedings of the thirteenth ACM international symposium on Mobile Ad Hoc Networking and Computing
Year:
2012

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Abstract

We study the multicast capacity of a random wireless network consisting of n randomly placed ordinary wireless nodes and m regularly placed base stations in a square region, known as a hybrid network. All ordinary wireless nodes have the uniform transmission range r and uniform interference range R=θ(r) and they can transmit/receive at Wa-bps. Each base station can communicate with adjacent base stations directly with a data rate WB-bps and the data transmission rate between a base station and a wireless node is assumed to be Wc-bps. Assume that there is a random set of ns ordinary wireless nodes that will serve as the source nodes of ns multicast flows (each has randomly selected k-1 receivers). Each flow will have data rate λi bps. We found that the minimum per-flow multicast capacity min n s over i = 1 λi for hybrid networks has three regimes, and for each regime we derive matching asymptotic upper and lower bounds. Thus it closes the gap of previous results in the literature.