Presentation 2011/11/10
Minimum Energy Broadcast on Two Dimensional Triangular Grid Wireless Networks
Youhei KOUCHI, Akira MATSUBAYASHI,
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Abstract(in English) The minimum energy broadcast problem is to assign a transmission range to each node in an ad hoc wireless network to construct a spanning tree rooted at a given source node such that any non-root node resides within the transmission range of its parent. The objective is to minimize the total energy consumption, i.e., the sum of the δth powers of a transmission range (δ≧1). In this report, we consider the case that δ=2, and that n = kl nodes are located on a 2-dimensional triangular grid with l columns at an angle of 60 degrees to k≦l rows. We prove that the minimum energy consumption for the n-node k×l-triangular grid is at most √<3>n/<2π>+O(n/k^<0.68>) and at least n/4-O(k).
Keyword(in Japanese) (See Japanese page)
Keyword(in English) energy minimization / broadcast / triangular grid / ad hoc wireless network
Paper # MSS2011-50,CAS2011-81
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Committee MSS
Conference Date 2011/11/10(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Minimum Energy Broadcast on Two Dimensional Triangular Grid Wireless Networks
Sub Title (in English)
Keyword(1) energy minimization
Keyword(2) broadcast
Keyword(3) triangular grid
Keyword(4) ad hoc wireless network
1st Author's Name Youhei KOUCHI
1st Author's Affiliation Division of Electrical and Computer Engineering, Kanazawa University()
2nd Author's Name Akira MATSUBAYASHI
2nd Author's Affiliation Division of Electrical and Computer Science, Kanazawa University
Date 2011/11/10
Paper # MSS2011-50,CAS2011-81
Volume (vol) vol.111
Number (no) 294
Page pp.pp.-
#Pages 6
Date of Issue