Abstract
The Neighbor Aided Network Installation Problem asks how best to install the nodes in a network under the assumption that the cost of installing a node depends solely on the number of its neighbors which have been previously installed. We study a version which incorporates blackstart nodes into the model. Under the assumption of a decreasing convex cost function and a single blackstart node, we solve the problem for subclasses of almost-complete and augmented-tree networks. We also describe two heuristics and present experimental results on real world networks.
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References
Adibi, M.M., Fink, L.H.: Power system restoration planning. IEEE Trans. Power Syst. 9(1), 22–28 (1994)
Atkins, K., Chen, J., Kumar, V.A., Marathe, A.: The structure of electrical networks: a graph theory-based analysis. Int. J. Crit. Infrastruct. 5(3), 265–284 (2009)
Davis, T.A., Hu, Y.: The University of Florida Sparse Matrix Collection. ACM Trans. Math. Softw. 38(1), 1:1–1:25 (2011). https://doi.org/10.1145/2049662.2049663, http://doi.acm.org/10.1145/2049662.2049663
Gutfraind, A., Bradonjić, M., Novikoff, T.: Modelling the neighbour aid phenomenon for installing costly complex networks. J. Complex Netw. (2014). https://doi.org/10.1093/comnet/cnu033
Gutfraind, A., Kun, J., Lelkes, Á.D., Reyzin, L.: Network installation and recovery: approximation lower bounds and faster exact formulations. CoRR abs/1411.3640 (2014). http://arxiv.org/abs/1411.3640
Ketabi, A., Feuillet, R.: Ant colony search algorithm for optimal generators startup during power system restoration. Math. Probl. Eng. 2010, 1–11 (2010). https://doi.org/10.1155/2010/906935
Lin, Z.Z., Wen, F.S., Chung, C.Y., Wong, K.P., Zhou, H.: Division algorithm and interconnection strategy of restoration subsystems based on complex network theory. IET Gener. Trans. Distrib. 5(6), 674–683 (2011). https://doi.org/10.1049/iet-gtd.2010.0586
Rokrok, E., Shafie-khah, M., Siano, P., Catalão, J.P.S.: A decentralized multi-agent-based approach for low voltage microgrid restoration. Energies 10(10) (2017). https://doi.org/10.3390/en10101491, http://www.mdpi.com/1996-1073/10/10/1491
Van Hentenryck, P., Coffrin, C.: Transmission system repair and restoration. Math. Programm. 151(1), 347–373 (2015). https://doi.org/10.1007/s10107-015-0887-0
Wikipedia: North American Electric Reliability Corporation. https://en.wikipedia.org/wiki/North_American_Electric_Reliability_Corporation. Accessed 27 July 2018
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We are grateful to Pomona College for helping fund this work.
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Cummings, K.S., Neal, J.L., Chen, A., Chen, TY. (2019). An Exploration of the Network Installation and Recovery Problem with Blackstart Nodes. In: Aiello, L., Cherifi, C., Cherifi, H., Lambiotte, R., Lió, P., Rocha, L. (eds) Complex Networks and Their Applications VII. COMPLEX NETWORKS 2018. Studies in Computational Intelligence, vol 812. Springer, Cham. https://doi.org/10.1007/978-3-030-05411-3_52
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DOI: https://doi.org/10.1007/978-3-030-05411-3_52
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