Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7924))

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Abstract

In this paper, we consider a fundamental traffic grooming problem in optical line-system: the number of total links with lengths and the max number of wavelengths (capacity) of each fiber are given, also a set of demands (jobs) and their routes are fixed so that the load of each link is known, the problem is to construct a set of fiber intervals so that the total fiber length is minimized (called Fiber Lengths Minimization problem or FLM for abbreviation). It is known that FLM problem is NP-complete in general. In this paper, we propose a 2-approximation algorithm, Longest Link interval First (LLF), which is better than existing best known bound.

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References

  1. Andrews, M., Zhang, L.: Bounds on fiber minimization in optical networks with fixed fiber capacity. In: Proceedings of IEEE INFOCOM 2005, Miami, FL (March 2005)

    Google Scholar 

  2. Andrews, M., Zhang, L.: Complexity of wavelength assignment in optical network optimization. IEEE/ACM Transactions on Networking 17(2), 646–657 (2009)

    Article  Google Scholar 

  3. Brucker, P.: Scheduling Algorithms, 5th edn. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  4. Flammini, M., Monaco, G., Moscardelli, L., Shalom, M., Zaks, S.: Approximating the traffic grooming problem with respect to adms and oadms. In: 14th International European Conference on Parallel and Distributed Computing (EuroPar), Las Palmas de Gran Canaria, Spain, August 26-29 (2008)

    Google Scholar 

  5. Flammini, M., Monaco, G., Moscardelli, L., Shalom, M., Zaks, S.: Optimizing Regenerator Cost in Traffic Groomings. Technical Report (July 2011)

    Google Scholar 

  6. Flammini, M., Monaco, G., Moscardelli, L., Shachnai, H., Shalom, M., Tamir, T., Zaks, S.: Minimizing Total Busy Time in Parallel Scheduling with Application to Optical Networks. Theoretical Computer Science 411(40-42), 3553–3562 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. Kani, J., Shimazu, S., Yoshimoto, N., Hadama, H.: Energy-Efficient Optical Access Network Technologies. In: The Proceedings of OFC 2011 (2011)

    Google Scholar 

  8. Kilper, D.: Energy-Efficient Networks. In: The Proceedings of OFC 2011 (2011)

    Google Scholar 

  9. Pachnicke, S., Paschendaand, T., Krummrich, P.M.: Physical Impairment Based Regenerator Placement and Routing in Translucent Optical Networks. In: The Proceedings of OFC-NFOEC 2008 (2008)

    Google Scholar 

  10. Shalom, M., Voloshin, A., Wong, P.W.H., Yung, F.C.C., Zaks, S.: Online Optimization of Busy Time on Parallel Machines. In: Agrawal, M., Cooper, S.B., Li, A. (eds.) TAMC 2012. LNCS, vol. 7287, pp. 448–460. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  11. Tian, W.: A Dynamic Modeling And Dimensioning Approach For Optical Networks. In: 3rd International Conference on Broadband Communications, Networks and Systems, BROADNETS 2006, October 1-5 (2006)

    Google Scholar 

  12. Tian, W.H.: Modeling approaches and provisioning algorithms for dynamic bandwidth adjustment in multi-media networks. In: 2009 HONET, International Symposium on High Capacity Optical Networks and Enabling Technologies (2009)

    Google Scholar 

  13. Winkler, P., Zhang, L.: Wavelength assignment and generalized interval graph coloring. In: SODA, pp. 830-831 (2003)

    Google Scholar 

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Liu, X., Tian, W., Xu, M., **ong, Q. (2013). A Cost-Efficient Scheduling Algorithm for Traffic Grooming. In: Fellows, M., Tan, X., Zhu, B. (eds) Frontiers in Algorithmics and Algorithmic Aspects in Information and Management. Lecture Notes in Computer Science, vol 7924. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38756-2_25

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  • DOI: https://doi.org/10.1007/978-3-642-38756-2_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38755-5

  • Online ISBN: 978-3-642-38756-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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