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Restoring Survivable Spanning Tree: An Alternative Algorithm

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Parallel Architectures, Algorithms and Programming (PAAP 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1362))

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Abstract

In the modern network with high data transmission rate, coping with the link failures rapidly becomes a major network fault-tolerant challenge. Existing techniques adopt a survivable spanning connection (SSC) including two not-fully-disjoint spanning trees to prevent link failures. However, the spanning trees in SSC will be invalid when the shared links fail. This paper aims to algorithmic technique for fast restoring the invalid spanning trees in SSC. Firstly, we model an optimization problem of restoring the SSC based on the existing invalid spanning trees. Then restoration algorithm is proposed for the faulty shared link by two spanning trees. In the proposed algorithm, the edges linking the two subtrees of one tree with the fault are collected to form a set of the candidate links. Then, the link with the minimum failure probability is selected from the candidate set, and it is added into the spanning trees for generating a new SSC. Experimental results show that the recovery time is reduced up to 36% in comparison to the latest work cited in this paper, for the network with sizes varying from 10 to 100. Meanwhile, the loss rate of survivability is kept no more than 1%.

Supported in part by project of Guangdong Science and Technology Plan under Grant 2019B010118001, and the National Natural Science Foundation of China under Grant 61871475.

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References

  1. Christopher, R.C.: 100-Gb/s and beyond transceiver technologies. Opt. Fiber Technol. 17(5), 472–479 (2011)

    Article  Google Scholar 

  2. Zhou, Z., Lin, T.: Survivable Probability of SDN-enabled Cloud Networking with Random Physical Link Failure. Computer Science: Networking and Internet Architecture (2017)

    Google Scholar 

  3. Wang, R., Gao, S., Yang, W., Jiang, Z.: Energy aware routing with link disjoint backup paths. Comput. Netw. Int. J. Comput. Telecommun. Netw. 115, 42–53 (2017)

    Google Scholar 

  4. Yallouz, J., Rottenstreich, O., Orda, A.: Tunable survivable spanning trees. IEEE/ACM Trans. Netw. 24(3), 1853–1866 (2016)

    Article  Google Scholar 

  5. Moussaoui, A., Boukeream, A.: A survey of routing protocols based on link stability in mobile ad hoc networks. J. Netw. Comput. Appl. 47, 1–10 (2015)

    Article  Google Scholar 

  6. ITU-T G.8032: Ethernet Ring Protection Switching (2015)

    Google Scholar 

  7. Roskind, J., Tarjan, R.E.: A note on finding minimum-cost edge-disjoint spanning trees. Math. Oper. Res. 10(4), 701–708 (1985)

    Article  MathSciNet  Google Scholar 

  8. Clausen, J., Hansen, L.A.: Finding k edge-disjoint spanning trees of minimum total weight in a network: an application of matroid theory. In: Rayward-Smit, V.J. (ed.) Combinatorial Optimization II. Mathematical Programming Studies, vol. 13, pp. 88–101. Springer, Heidelberg (1980). https://doi.org/10.1007/BFb0120910

    Chapter  Google Scholar 

  9. AlBdaiwi, B., Hussain, Z., Cerny, A., Aldred, R.: Edge-disjoint node-independent spanning trees in dense gaussian networks. J. Supercomput. 72(12), 4718–4736 (2016). https://doi.org/10.1007/s11227-016-1768-x

    Article  Google Scholar 

  10. Yallouz, J., Orda, A.: Tunable QoS-aware network survivability. IEEE/ACM Trans. Netw. 25(1), 139–149 (2017)

    Article  Google Scholar 

  11. Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms, 3rd edn. MIT Press, Cambridge (2009)

    Google Scholar 

  12. Faloutsos, M., Faloutsos, P., Faloutsos, C.: On power-law relationships of the Internet topology. Comput. Netw. 29(4), 251–262 (1999)

    MATH  Google Scholar 

  13. Waxman, B.: Routing of multipoint connections. IEEE J. Sel. Areas Commun. 6(9), 1617–1622 (1988)

    Article  Google Scholar 

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Correspondence to Jigang Wu .

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Zheng, L., Wu, Y., Huang, J., Liu, P., Wu, J. (2021). Restoring Survivable Spanning Tree: An Alternative Algorithm. In: Ning, L., Chau, V., Lau, F. (eds) Parallel Architectures, Algorithms and Programming. PAAP 2020. Communications in Computer and Information Science, vol 1362. Springer, Singapore. https://doi.org/10.1007/978-981-16-0010-4_1

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  • DOI: https://doi.org/10.1007/978-981-16-0010-4_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-0009-8

  • Online ISBN: 978-981-16-0010-4

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