Abstract
DPillar has recently been proposed as a server-centric data centre network and is combinatorially related to the well-known wrapped butterfly network. We explain the relationship between DPillar and the wrapped butterfly network before proving a symmetry property of DPillar. We use this symmetry property to establish a single-path routing algorithm for DPillar that computes a shortest path and has time complexity \(O(k\log (n))\), where k parameterizes the dimension of DPillar and n the number of ports in its switches. Moreover, our algorithm is trivial to implement, being essentially a conditional clause of numeric tests, and improves significantly upon a routing algorithm earlier employed for DPillar. A secondary and important effect of our work is that it emphasises that data centre networks are amenable to a closer combinatorial scrutiny that can significantly improve their computational efficiency and performance.
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References
Abts, D., Marty, M.R., Wells, P.M., Klausler, P., Liu, H.: Energy proportional datacenter networks. In: Proceedings of the 37th Annual International Symposium on Computer Architecture, pp. 338–347 (2010)
Abu-Libdeh, H., Costa, P., Rowstron, A., OShea, G., Donnelly, A.: Symbiotic routing in future data centers. SIGCOMM Comput. Comm. Rev. 40(4), 51–62 (2010)
Ahn, J.H., Binkert, N., Davis, A., McLaren, M., Schreiber, R.S.: HyperX: topology, routing, and packaging of efficient large-scale networks. In: Proceedings of the Conference on High Performance Computer Networking, Storage and Analysis, Article 41 (2009)
Al-Fares, M., Loukissas, A., Vahdat, A.: A scalable, commodity data center network architecture. SIGCOMM Comput. Comm. Rev. 38(4), 63–74 (2008)
Greenberg, A., Hamilton, J.R., Jain, N., Kandula, S., Kim, C., Lahiri, P., Maltz, D.A., Patel, P., Sengupta, S.: VL2: a scalable and flexible data center network. SIGCOMM Comput. Comm. Rev. 39(4), 51–62 (2009)
Guo, D., Chen, T., Li, D., Li, M., Liu, Y., Chen, G.: Expandible and cost-effective network structures for data centers using dual-port servers. IEEE Trans. Comput. 62(7), 1303–1317 (2013)
Guo, C., Wu, H., Tan, K., Shi, L., Zhang, Y., Lu, S.: DCell: a scalable and fault-tolerant network structure for data centers. SIGCOMM Comput. Comm. Rev. 38(4), 75–86 (2008)
Guo, C., Lu, G., Li, D., Wu, H., Zhang, X., Shi, Y., Tian, C., Zhang, Y., Lu, S.: BCube: a high performance, server-centric network architecture for modular data centers. SIGCOMM Comput. Comm. Rev. 39(4), 63–74 (2009)
Heller, B., Seetharaman, S., Mahadevan, P., Yiakoumis, Y., Sharma, P., Banerjee, S., McKeown, N.: ElasticTree: saving energy in data center networks. In: Proceedings of the 7th USENIX Conference on Networked Systems Design and Implementation, pp. 249–264 (2006)
Li, C., Guo, D., Wu, H., Tan, K., Zhang, K., Lu, S.: FiConn: using backup port for server interconnection in data centers. In: Proceedings of INFOCOM, pp. 2276–2285 (2009)
Li, D., Wu, J.: On data center network architectures for interconnecting dual-port servers. IEEE Trans. Comput. 64(11), 3210–3222 (2015)
Liao, Y., Yin, J., Yin, D., Gao, L.: DPillar: dual-port server interconnection network for large scale data centers. Comput. Netw. 56(8), 2132–2147 (2012)
Liu, Y., Muppala, J.K., Veeraraghavan, M., Lin, D., Katz, J.: Data Centre Networks: Topologies, Architectures and Fault-Tolerance Characteristics. Springer, New York (2013)
Mysore, R.N., Pamboris, A., Farrington, N., Huang, N., Miri, P., Radhakrishnan, S., Subramanya, V., Vahdat, A.: Portland: a scalable fault-tolerant layer 2 data center network fabric. SIGCOMM Comput. Comm. Rev. 39(4), 39–50 (2009)
Wang, C., Wang, C., Yuan, Y., Wei, Y.: MCube: a high performance and fault-tolerant network architecture for data centers. In: Proceedings of the International Conference on Computer Design and Applications, vol. 5, pp. V5-423-V5–427 (2010)
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This work has been funded by the Engineering and Physical Sciences Research Council (EPSRC) through grants EP/K015680/1 and EP/K015699/1.
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Erickson, A., Kiasari, A.E., Navaridas, J., Stewart, I.A. (2015). An Efficient Shortest-Path Routing Algorithm in the Data Centre Network DPillar. In: Lu, Z., Kim, D., Wu, W., Li, W., Du, DZ. (eds) Combinatorial Optimization and Applications. Lecture Notes in Computer Science(), vol 9486. Springer, Cham. https://doi.org/10.1007/978-3-319-26626-8_16
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DOI: https://doi.org/10.1007/978-3-319-26626-8_16
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