Skip to main content

Reliable Network Design Problem Considering Cost to Improve Link Reliability

  • Conference paper
  • First Online:
Advances in Intelligent Networking and Collaborative Systems (INCoS 2018)

Abstract

It is important to design robust networks that are resistant to network failures, because high reliability is required for communication networks as important infrastructure. For that purpose, there is an approach of link protection to decrease link failure probability by the backup mechanism and the fast recovery mechanism; however, enormous cost is required, if the failure probability of all links must be decreased. It is realistic to preferentially protect only some highly required links so that the reliability of the entire network is improved. In this paper, we assume that the failure probability of each link can be reduced according to cost for protection. Since the failure probability of each link is decreased by the cost allocated to the link, the network reliability defined as the probability that the entire network is connected, is increased. We define the network design problem that determines the cost allocated for each link, under the constraint that the sum of the cost allocated for each link must be less than or equal to a given threshold, so that the network reliability is maximized. We show the NP-hardness of this optimization problem and design a polynomial-time heuristic algorithm. Moreover, we evaluate the performance by using the topology of some actual communication networks, and we show that the proposed algorithm works well.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Frank, A.: Augmenting graphs to meet edge-connectivity requirements. In: Proceedings of 31st Annual Symposium on Foundations of Computer Science, St. Louis, 22–24 October 1990

    Google Scholar 

  2. Ishii, T., Hagiwara, M.: Minimum augmentation of local edge-connectivity between vertices and vertex subsets in undirected graphs. Discrete Appl. Math. 154(16), 2307–2329 (2006)

    Article  MathSciNet  Google Scholar 

  3. Kortsarz, G., Krauthgamer, R., Lee, J.R.: Hardness of Approximation for Vertex-Connectivity Network Design Problems, vol. 2462, pp. 185–199. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Arulselvan, A., Commander, C.W., Elefteriadou, L., Pardalos, P.M.: Detecting critical nodes in sparse graph. Proc. Comput. Oper. Res. 36(7), 2193–2200 (2009)

    Article  MathSciNet  Google Scholar 

  5. Imagawa, K., Fujimura, T., Miwa, H.: Approximation algorithms for finding protected links to keep small diameter against link failures. In: Proceedings of INCoS2011, Fukuoka, Japan, 30 November 2011–December 1–2 2011

    Google Scholar 

  6. Imagawa, K., Miwa, H.: Detecting protected links to keep reachability to server against failures. In: Proceedings of ICOIN2013, Bangkok, 28–30 January 2013

    Google Scholar 

  7. Imagawa, K., Miwa, H.: Approximation algorithm for finding protected links to keep small diameter against link failures. In: Proceedings of INCoS2011, Fukuoka, Japan, pp. 575–580, 30 November 2011–2 December 2011

    Google Scholar 

  8. Maeda, N., Miwa, H.: Detecting critical links for keeping shortest distance from clients to servers during failures. In: Proceedings of HEUNET2012/SAINT2012, Turkey, 16–20 July 2012

    Google Scholar 

  9. Irie, D., Kurimoto, S., Miwa, H.: Detecting critical protected links to keep connectivity to servers against link failures. In: Proceedings of NTMS 2015, Paris, pp. 1–5, 27–29 July 2015

    Google Scholar 

  10. Fujimura, T., Miwa, H.: Critical links detection to maintain small diameter against link failures. In: Proceedings of INCoS2010, Thessaloniki, pp. 339–343, 16–24 November 2011

    Google Scholar 

  11. Yamasaki, T., Anan, M., Miwa, H.: Network design method based on link protection taking account of the connectivity and distance between sites. In: Proceedings of INCoS2016, Ostrava, pp. 339–343, 7–9 September 2016

    Google Scholar 

  12. Irie, D., Anan, M., Miwa, H.: Network design method by finding server placement and protected links to keep connectivity to servers against link failures. In: Proceedings of INCoS2016, Ostrava, pp. 439-344, 7–9 September 2016

    Google Scholar 

  13. Aggarwal, K.K., Chopra, Y.C., Bajwa, J.S.: Topological layout of links for optimising the overall reliability in a computer communication system. Microelectron. Reliab. 22, 347–351 (1982)

    Article  Google Scholar 

  14. Jan, R.-H., Hwang, F.-J., Chen, S.-T.: Topological optimization of a communication network subject to a reliability constraint. IEEE Trans. Reliab. 42, 63–70 (1993)

    Article  Google Scholar 

  15. Koide, T., Shinmori, S., Ishii, H.: The evaluations on lower bounds of all-terminal reliability by arc-packings for general networks. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E82A(5), 784–791 (1990)

    Google Scholar 

  16. Uji, K., Miwa, H.: Method for finding protected links to keep robust network against link failure considering failure probability. In: Proceedings of International Conference on Intelligent Networking and Collaborative System (INCoS2017), Toronto, Canada, 24–26 August 2017

    Google Scholar 

  17. CAIDA. http://www.caida.org/

Download references

Acknowledgements

This work was partially supported by the Japan Society for the Promotion of Science through Grants-in-Aid for Scientific Research (B) (17H01742) and JST CREST JPMJCR1402.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hiroyoshi Miwa .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Uji, K., Miwa, H. (2019). Reliable Network Design Problem Considering Cost to Improve Link Reliability. In: Xhafa, F., Barolli, L., Greguš, M. (eds) Advances in Intelligent Networking and Collaborative Systems. INCoS 2018. Lecture Notes on Data Engineering and Communications Technologies, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-98557-2_29

Download citation

Publish with us

Policies and ethics