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ON CENTRALIZED AND LOCALIZED APPROXIMATION ALGORITHMS FOR
INTERFERENCE-AWARE BROADCAST SCHEDULING
ABSTRACT:
Broadcast scheduling in multihop Wireless Sensor Networks (WSNs) is an effective mechanism
to perform interference-aware broadcasting. Existing works provide centralized solutions, which
cannot be implemented locally. Additionally, they consider very elementary network and
interference models, in which, either all sensor nodes have the same transmission range or their
transmission ranges are equal to their interference ranges that are not very practical.
Furthermore, they entirely ignore the existence of WSNs in 3D.
In this paper, we study the broadcast scheduling in 2D and 3D WSNs. We consider that sensor
nodes may have different transmission ranges and their interference ranges are α times of their
transmission ranges (where α >; 1). We devise efficient coloring methods for coloring a
hexagonal tiling in 2D plane and a truncated octahedron tiling in 3D space, based on which we
propose O(1)-centralized
approximation
algorithms
and
O(1)-localized
approximation
algorithms for the broadcast scheduling problem in 2D and 3D WSNs, respectively.
Our O (1)-centralized approximation algorithms for 3D WSNs and O (1)-localized
approximation algorithms for 2D and 3D WSNs are the first approximation algorithms for the
corresponding problems. Finally, we present an efficient greedy heuristic to study the effect of
various priority metrics for greedily scheduling multiple interfering transmissions. Theoretical
analysis and experimental results are provided to evaluate the performance of our algorithms.