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A Multiobjective Approach Based on the Law of Gravity and Mass Interactions for Optimizing Networks

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Evolutionary Computation in Combinatorial Optimization (EvoCOP 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7832))

Abstract

In this work, we tackle a real-world telecommunication problem by using Evolutionary Computation and Multiobjective Optimization jointly. This problem is known in the literature as the Traffic Grooming problem and consists on multiplexing or grooming a set of low-speed traffic requests (Mbps) onto high-speed channels (Gbps) over an optical network with wavelength division multiplexing facility. We propose a multiobjective version of an algorithm based on the laws of motions and mass interactions (Gravitational Search Algorithm, GSA) for solving this NP-hard optimization problem. After carrying out several comparisons with other approaches published in the literature for this optical problem, we can conclude that the multiobjective GSA (MO-GSA) is able to obtain very promising results.

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References

  1. Arroyo, J., Vieira, P., Vianna, D.: A grasp algorithm for the multi-criteria minimum spanning tree problem. Annals of Operations Research 159, 125–133 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  2. De, T., Pal, A., Sengupta, I.: Traffic Grooming, Routing, and Wavelength Assignment in an Optical WDM Mesh Networks Based on Clique Partitioning. Photonic Network Communications 20, 101–112 (2010)

    Article  Google Scholar 

  3. Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms. John Wiley & Sons, Inc., New York (2001)

    MATH  Google Scholar 

  4. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A Fast Elitist Multi-Objective Genetic Algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6, 182–197 (2000)

    Article  Google Scholar 

  5. Gagnaire, M., Koubaa, M., Puech, N.: Network Dimensioning under Scheduled and Random Lightpath Demands in All-Optical WDM Networks. IEEE Journal on Selected Areas in Communications 25(S-9), 58–67 (2007)

    Article  Google Scholar 

  6. Gong, Y.J., Zhang, J., Liu, O., Huang, R.Z., Chung, H.H., Shi, Y.H.: Optimizing the Vehicle Routing Problem With Time Windows: A Discrete Particle Swarm Optimization Approach. IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews 42(2), 254–267 (2012)

    Article  Google Scholar 

  7. Prathombutr, P., Stach, J., Park, E.K.: An Algorithm for Traffic Grooming in WDM Optical Mesh Networks with Multiple Objectives. Telecommunication Systems 28, 369–386 (2005)

    Article  Google Scholar 

  8. Rashedi, E., Nezamabadi-pour, H., Saryazdi, S.: GSA: A Gravitational Search Algorithm. Information Sciences 179(13), 2232–2248 (2009), Special Section on High Order Fuzzy Sets

    Google Scholar 

  9. Rubio-Largo, A., Vega-Rodríguez, M.A., Gomez-Pulido, J.A., Sanchez-Perez, J.M.: Multiobjective Metaheuristics for Traffic Grooming in Optical Networks. IEEE Transactions on Evolutionary Computation (available online since June 2012), 1–17 (2012)

    Google Scholar 

  10. Xue, F., Sanderson, A., Graves, R.: Multiobjective Evolutionary Decision Support for Design Supplier Manufacturing Planning. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans 39(2), 309–320 (2009)

    Article  Google Scholar 

  11. Zhu, H., Zang, H., Zhu, K., Mukherjee, B.: A Novel Generic Graph Model for Traffic Grooming in Heterogeneous WDM Mesh Networks. IEEE/ACM Transaction on Networking 11, 285–299 (2003)

    Article  Google Scholar 

  12. Zhu, K., Mukherjee, B.: A Review of Traffic Grooming in WDM Optical Networks: Architectures and Challenges. Optical Networks Magazine 4(2), 55–64 (2003)

    Google Scholar 

  13. Zhu, K., Mukherjee, B.: Traffic Grooming in an Optical WDM Mesh Network. IEEE Journal on Selected Areas in Communications 20(1), 122–133 (2002)

    Article  Google Scholar 

  14. Zitzler, E., Deb, K., Thiele, L.: Comparison of Multiobjective Evolutionary Algorithms: Empirical Results. Evolutionary Computation 8, 173–195 (2000)

    Article  Google Scholar 

  15. Zitzler, E., Thiele, L.: Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach. IEEE Transactions on Evolutionary Computation 3(4), 257–271 (1999)

    Article  Google Scholar 

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Rubio-Largo, Á., Vega-Rodríguez, M.A. (2013). A Multiobjective Approach Based on the Law of Gravity and Mass Interactions for Optimizing Networks. In: Middendorf, M., Blum, C. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2013. Lecture Notes in Computer Science, vol 7832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37198-1_2

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  • DOI: https://doi.org/10.1007/978-3-642-37198-1_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37197-4

  • Online ISBN: 978-3-642-37198-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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