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Improved-Zigzag: An Improved Local-Information-Based Self-optimizing Routing Algorithm in Virtual Grid Networks

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Stabilization, Safety, and Security of Distributed Systems (SSS 2019)

Abstract

A wireless network consisting of many wireless devices becomes popular and essential in distributed systems. In the wireless networks, each wireless device, also called nodes, can directly communicate with other devices located within its communication range. However, to communicate with the nodes outside the communication range, the message should be relayed to the target node via some other nodes. A virtual grid network is an overlay network on a wireless network which can be constructed by virtually dividing the area covered by the wireless network into geographical square regions of the same size, selecting a representative node at each region, and connecting the nodes of neighboring regions. A virtual grid network is utilized for realizing an energy-efficient wireless network because not all of the nodes in the system need to join the routing, moreover, a routing algorithm can be easily designed thanks to regularity of the grid topology. A local-information-based self-optimizing routing algorithm, Zigzag, in virtual grid networks was proposed. In this paper, we propose the locality-based model, named \((\alpha , \beta )\)-range model, based on the snapshot range \(\alpha \) and communication range \(\beta \) to clearly specify the locality. Moreover, we propose a new self-optimizing routing algorithm Improved-Zigzag which improves Zigzag by reducing the snapshot range.

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Notes

  1. 1.

    In [5], algorithm Zigzag assumes the agreement of the directions of two axes, however the algorithm can be easily modified for the model so that every node agrees on only the chirality which means the orientation of the axes, e.g., clockwise.

  2. 2.

    Note that a router which is not in path P is joined into path P as the result of the local update for rule 3. Thus we assume that a router, which is not in path P but adjacent to the router in P, knows the routing information of its adjacent routers in P within the snapshot range.

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Acknowledgements

This work was supported by JSPS KAKENHI Grant Numbers 18K18000, 18K18029, 18K18031, 19H04085, 19K11823, and JST SICORP Grant Numbers JPMJSC1606 and JPMJSC1806, Japan.

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Correspondence to Yonghwan Kim .

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Kim, Y., Shibata, M., Sudo, Y., Nakamura, J., Katayama, Y., Masuzawa, T. (2019). Improved-Zigzag: An Improved Local-Information-Based Self-optimizing Routing Algorithm in Virtual Grid Networks. In: Ghaffari, M., Nesterenko, M., Tixeuil, S., Tucci, S., Yamauchi, Y. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2019. Lecture Notes in Computer Science(), vol 11914. Springer, Cham. https://doi.org/10.1007/978-3-030-34992-9_18

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  • DOI: https://doi.org/10.1007/978-3-030-34992-9_18

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