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Multi-channel Conflict-Free Square Grid Aggregation

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Learning and Intelligent Optimization (LION 2021)

Abstract

We consider minimizing the delay during an interference-conflict-free aggregation session in wireless sensor networks when the network elements can use various frequency channels for the data transmission. In general, this problem is known to be NP-hard. We focus on a particular case when sensors are positioned at the square grid nodes and have the same transmission ranges equal to their interference ranges. We propose an approximation algorithm with guaranteed estimates. The algorithm consists of two stages. At the first stage, the nodes transmit the data upwards or downwards until all data are collected at the nodes of the first row. At the second stage, all the nodes of the first row transmit the data to the sink. Also, we present a new ILP formulation of the problem on the arbitrary network topology and provide the experiment results. We use the GUROBI solver to get the optimal solutions on the small-size instances and compare the results yielded by the proposed algorithm with optimal solutions. We also compare the proposed algorithm with the known approach in a two-channel case and show how the number of channels affects the schedule length depending on the instances sizes.

The Russian Science Foundation supports this research (Grant No. 19-71-10012. Project “Multi-agent systems development for automatic remote control of traffic flows in congested urban road networks”).

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Correspondence to Roman Plotnikov .

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Plotnikov, R., Erzin, A. (2021). Multi-channel Conflict-Free Square Grid Aggregation. In: Simos, D.E., Pardalos, P.M., Kotsireas, I.S. (eds) Learning and Intelligent Optimization. LION 2021. Lecture Notes in Computer Science(), vol 12931. Springer, Cham. https://doi.org/10.1007/978-3-030-92121-7_24

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  • DOI: https://doi.org/10.1007/978-3-030-92121-7_24

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