NDLI: Exponential separations in the energy complexity of leader election

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Exponential separations in the energy complexity of leader election

Content Provider	ACM Digital Library
Author	Chang, Yi-Jun Pettie, Seth Wang, Ruosong Zhan, Wei Kopelowitz, Tsvi
Abstract	Energy is often the most constrained resource for battery-powered wireless devices and the lionâ s share of energy is often spent on transceiver usage (sending/receiving packets), not on computation. In this paper we study the energy complexity of Leader Election and Approximate Counting in several models of wireless radio networks. It turns out that energy complexity is very sensitive to whether the devices can generate random bits and their ability to detect collisions. We consider four collision-detection models: Strong-CD (in which transmitters and listeners detect collisions), Sender-CD and Receiver-CD (in which only transmitters or only listeners detect collisions), and No-CD (in which no one detects collisions.) The take-away message of our results is quite surprising. For randomized Leader Election algorithms, there is an exponential gap between the energy complexity of Sender-CD and Receiver-CD: No-CD = Sender-CD â « Receiver-CD = Strong-CD and for deterministic Leader Election algorithms, there is another exponential gap in energy complexity, but in the reverse direction: No-CD = Receiver-CD â « Sender-CD = Strong-CD In particular, the randomized energy complexity of Leader Election is Î $(log^{}$ n) in Sender-CD but Î $(log(log^{}$ n)) in Receiver-CD, where n is the (unknown) number of devices. Its deterministic complexity is Î (logN) in Receiver-CD but Î (loglogN) in Sender-CD, where N is the (known) size of the devicesâ ID space. There is a tradeoff between time and energy. We give a new upper bound on the time-energy tradeoff curve for randomized Leader Election and Approximate Counting. A critical component of this algorithm is a new deterministic Leader Election algorithm for dense instances, when n=Î (N), with inverse-Ackermann-type (O(Î±(N))) energy complexity. .
Starting Page	771
Ending Page	783
Page Count	13
File Format	PDF
ISBN	9781450345286
DOI	10.1145/3055399.3055481
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2017-06-19
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Leader election Energy efficiency Collision detection Distributed computing Approximate counting
Content Type	Text
Resource Type	Article

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