Abstract
Finding overlay topologies for peer-to-peer networks on top of the Internet can be regarded as a network design problem, in which a graph with minimum communication costs is desired. An example of such a graph is a spanning tree connecting all nodes in the overlay. We present evolutionary algorithms incorporating local search for the minimum routing cost spanning tree problem in which the overall routing/communication cost is minimized. We present three types of local search for this problem as well as an evolutionary framework for finding (near)optimal solutions to the problem. Moreover, we present results from a fitness landscape analysis for the three types of local optima that reveal interesting properties of the problem data based on real measurements in the Internet. We demonstrate that our proposed algorithms find near optimum solutions reliably by comparing against a lower bound of the problem.
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References
Gnutella: Gnutella Protocol v. 0.4 (2000), http://www.clip2.com/
Ripeanu, M., Iamnitchi, A., Foster, I.: Mapping the Gnutella Network. IEEE Internet Computing (2002)
Cohen, B.: Incentives Build Robustness in BitTorrent. In: Workshop on Economics of Peer-to-Peer Systems, Berkeley, CA, USA (2003)
Chakravarti, A.J., Baumgartner, G., Lauria, M.: The Organic Grid: Self-Organizing Computation on a Peer-to-Peer Network. In: Proceedings of the International Conference on Autonomic Computing (ICAC 2004), New York, NY (2004)
Merz, P., Gorunova, K.: Efficient Broadcast in P2P Grids. In: Proceedings of the IEEE/ACM International Symposium on Cluster Computing and the Grid (CCGrid 2005), Cardiff, UK (2005)
Kubiatowicz, J., et al.: OceanStore: An Architecture for Global-Scale Persistent Storage. In: Proc. of the 9th International Conference on Architectural Support for Programming Languages and Operating Systems (ASPLOS 2000), pp. 190–201 (2000)
Demers, A.J., Greene, D.H., Hauser, C., Irish, W., Larson, J.: Epidemic algorithms for replicated database maintenance. In: Proceedings of the Sixth Annual ACM Symposium on Principles of Distributed Computing, pp. 1–12 (1987)
Johnson, D.S., Lenstra, J.K., Kan, A.H.G.R.: The Complexity of the Network Design Problem. Networks 8, 279–285 (1978)
Wu, B.Y., Lancia, G., Bafna, V., Chao, K.M., Ravi, R., Tang, C.Y.: A Polynomial-Time Approximation Scheme for Minimum Routing Cost Spanning Trees. SIAM Journal on Computing 29, 761–778 (1999)
Wu, B.Y., Chao, K.M., Tang, C.Y.: Approximation Algorithms for Some Optimum Communication Spanning Tree Problems. Discrete Applied Mathematics 102, 245–266 (2000)
Dijkstra, E.W.: A Note on Two Problems in Connexion with Graphs. Numerische Mathematik 1, 269–271 (1959)
Bellman, R.E.: On a Routing Problem. Quart. of Appl. Mathem. 16, 87–90 (1958)
Ford Jr., L.R., Fulkerson, D.R.: Flows in Networks. Princeton Univ. Press, Princeton (1962)
Sobeih, A., Wang, J., Yurcik, W.: Performance Evaluation and Comparison of Tree and Ring Application-Layer Multicast Overlay Networks. In: Proceedings of the 1st International Computer Engineering Conference: New Technologies for the Information Society (ICENCO), Cairo, Egypt (2004)
Lehmann, K.A., Kaufmann, M.: Evolutionary Algorithms for the Self-Organized Evolution of Networks. In: Beyer, H.-G., et al. (eds.) GECCO 2005: Proceedings of the 2005 Conference on Genetic and Evolutionary Computation, Washington DC, USA, vol. 1, pp. 563–570. ACM Press, New York (2005)
Brosh, E., Shavitt, Y.: Approximation and Heuristic Algorithms for Minimum-Delay Application Layer Multicast Trees. In: The 23rd International Conference on Computer Copmunications, IEEE INFOCOM, Hong Kong (2004)
Tan, S.W., Waters, A., Crawford, J.: MeshTree: A Delay optimised Overlay Multicast Tree Building Protocol. Tech. R. 5-05, Univ. of Kent, Canterbury, UK (2005)
Lourenco, H.R., Martin, O., Stützle, T.: Iterated Local Search. In: Glover, F., Kochenberger, G. (eds.) Handb. of Metaheuristics, Kluwer Acad. Publ., Dordrecht (2003)
Moscato, P.: On Evolution, Search, Optimization, Genetic Algorithms and Martial Arts: Towards Memetic Algorithms. Technical Report C3P Report 826, Caltech Concurrent Computation Program, California Institue of Technology (1989)
Merz, P., Freisleben, B.: Memetic Algorithms for the Traveling Salesman Problem. Complex Systems 13, 297–345 (2001)
Banerjee, S., Griffin, T., Pias, M.: The Interdomain Connectivity of PlanetLab Nodes. In: Barakat, C., Pratt, I. (eds.) PAM 2004. LNCS, vol. 3015, Springer, Heidelberg (2004)
Merz, P., Freisleben, B.: Fitness Landscape Analysis and Memetic Algorithms for the Quadratic Assignment Problem. IEEE Transactions on Evolutionary Computation 4, 337–352 (2000)
Merz, P.: Advanced Fitness Landscape Analysis and the Performance of Memetic Algorithms. Evolutionary Computation, Special Issue on Memetic Evolutionary Algorithms 12, 303–326 (2004)
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Merz, P., Wolf, S. (2006). Evolutionary Local Search for Designing Peer-to-Peer Overlay Topologies Based on Minimum Routing Cost Spanning Trees. In: Runarsson, T.P., Beyer, HG., Burke, E., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds) Parallel Problem Solving from Nature - PPSN IX. PPSN 2006. Lecture Notes in Computer Science, vol 4193. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11844297_28
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DOI: https://doi.org/10.1007/11844297_28
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