Abstract
The task of obtaining and estimating maximum flows between all pairs of nodes in a given subset of a network’s nodes is discussed. It is shown how significantly reduce number of operations by re-usage of some intermediate results while calculating maximum flows between several pairs of nodes. Obtaining all maximum flows allows calculate an arithmetical average of maximum flows between all pairs of nodes characterizes “throughput” of a network in a whole that may serve as the index of a citys road network quality, for example. Cumulative bounds are used for faster and strict estimation of maximum flows and their average.
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References
Aldous, D.J., McDiarmid, C., Scott, A.: Uniform multicommodity flow through the complete graph with random edge-capacities. Oper. Res. Lett. 5(37), 299–302 (2009)
Colin, M., Alex, S., Paul, W.: Uniform multicommodity flows in the hypercube with random edge-capacities. Random Struct. Algorithms 50(3), 437–463 (2016). https://doi.org/10.1002/rsa.20672. https://onlinelibrary.wiley.com/doi/abs/10.1002/rsa.20672
Evans, J.: Maximum flow in probabilistic graphs - the discrete case. Networks 2(6), 161–183 (1976). https://doi.org/10.1002/net.3230060208
Ford, L.R., Fulkerson, D.R.: Maximal flow through a network, pp. 243–248. Birkhäuser Boston, Boston (1987). https://doi.org/10.1007/978-0-8176-4842-8_15
Fujii, Y., Wadayama, T.: An analysis on minimum \(s-t\) cut capacity of random graphs with specified degree distribution. In: 2013 IEEE International Symposium on Information Theory, pp. 2895–2899 (2013). https://doi.org/10.1109/ISIT.2013.6620755
Rodionov, A.: Cumulative estimated values of structural network’s reliability indices and their usage. In: 2016 Dynamics of Systems, Mechanisms and Machines (Dynamics), pp. 1–4 (2016). https://doi.org/10.1109/Dynamics.2016.7819071
Wang, H., Fan, P., Cao, Z.: Analysis of maximum flow in random graphs for network coding. In: 2005 IEEE International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, vol. 2, pp. 1062–1065 (2005). https://doi.org/10.1109/MAPE.2005.1618103
Won, J.M., Karray, F.: Cumulative update of all-terminal reliability for faster feasibility decision. IEEE Trans. Reliab. 59(3), 551–562 (2010). https://doi.org/10.1109/TR.2010.2055924
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Rodionov, A.S. (2019). On Evaluating a Network Throughput. In: Lee, S., Ismail, R., Choo, H. (eds) Proceedings of the 13th International Conference on Ubiquitous Information Management and Communication (IMCOM) 2019. IMCOM 2019. Advances in Intelligent Systems and Computing, vol 935. Springer, Cham. https://doi.org/10.1007/978-3-030-19063-7_3
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DOI: https://doi.org/10.1007/978-3-030-19063-7_3
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