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The “Real” Approximation Factor of the MST Heuristic for the Minimum Energy Broadcasting

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Experimental and Efficient Algorithms (WEA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 3503))

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Abstract

The paper deals with one of the most studied problems during the last years in the field of wireless communications in Ad-Hoc networks. The problem consists in reducing the total energy consumption of wireless radio stations randomly spread on a given area of interest to perform the basic pattern of communication given by the Broadcast. Recently an almost tight 6.33-approximation of the Minimum Spanning Tree heuristic has been proved [8]. While such a bound is theoretically close to optimum compared to the known lower bound of 6 [10], there is an evident gap with practical experimental results. By extensive experiments, proposing a new technique to generate input instances and supported by theoretical results, we show how the approximation ratio can be actually considered close to 4 for a “real world” set of instances, that is, instances with a number of nodes more representative of practical purposes.

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References

  1. Athanassopoulos, S., Caragiannis, I., Kaklamanis, C., Kanellopoulos, P.: Experimental Comparison of Algorithms for Energy-Efficient Multicasting in Ad Hoc Networks. In: Nikolaidis, I., Barbeau, M., Kranakis, E. (eds.) ADHOC-NOW 2004. LNCS, vol. 3158, pp. 183–196. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Clementi, A., Huiban, G., Penna, P., Rossi, G., Verhoeven, Y.C.: On the approximation ratio of the mst-based heuristic for the energy-efficient broadcast problem in static ad-hoc radio networks. In: Proceedings of the 3rd IEEE IPDPS Workshop on Wireless, Mobile and Ad Hoc Networks, WMAN (2003)

    Google Scholar 

  3. Clementi, A.E.F., Crescenzi, P., Penna, P., Rossi, G., Vocca, P.: On the complexity of computing minimum energy consumption broadcast subgraph. In: Ferreira, A., Reichel, H. (eds.) STACS 2001. LNCS, vol. 2010, pp. 121–131. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  4. Flammini, M., Klasing, R., Navarra, A., Perennes, S.: Improved approximation results for the Minimum Energy Broadcasting Problem. In: Proceedings of ACM Joint Workshop on Foundations of Mobile Computing (DIALM-POMC), pp. 85–91 (2004)

    Google Scholar 

  5. Frieze, A.M., McDiarmid, C.J.H.: On Random Minimum Length Spanning Trees. Combinatorica 9, 363–374 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  6. Klasing, R., Navarra, A., Papadopoulos, A., Perennes, S.: Adaptive Broadcast Consumption (ABC), a new heuristic and new bounds for the minimum energy broadcast routing problem. In: Mitrou, N.M., Kontovasilis, K., Rouskas, G.N., Iliadis, I., Merakos, L. (eds.) NETWORKING 2004. LNCS, vol. 3042, pp. 866–877. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  7. Martínez, F.J.O., Stojmenovic, I., Nocetti, F.G., Gonzalez, J.S.: Finding Minimum Transmission Radii for Preserving Connectivity and Constructing Minimal Spanning Trees in Ad Hoc and Sensor Networks. In: Ribeiro, C.C., Martins, S.L. (eds.) WEA 2004. LNCS, vol. 3059, pp. 369–382. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Navarra, A.: Tighter bounds for the Minimum Energy Broadcasting problem. In: Proceedings of the 3rd International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, WiOpt (2005) (to appear)

    Google Scholar 

  9. Penna, P., Ventre, C.: Energy-efficient broadcasting in ad-hoc networks: combining msts with shortest-path trees. In: Proceedings of the 1st ACM International Workshop on Performance Evaluation of Wireless, Ad Hoc, Sensor and Ubiquitous Networks (PE-WASUN), pp. 61–68. ACM Press, New York (2004)

    Chapter  Google Scholar 

  10. Wan, P.J., Calinescu, G., Li, X., Frieder, O.: Minimum energy broadcasting in static ad hoc wireless networks. Wireless Networks 8(6), 607–617 (2002): Extended abstract appeared. In: Proceedings of the 20th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM) (2001)

    Google Scholar 

  11. Wieselthier, J.E., Nguyen, G.D., Ephremides, A.: On the construction of energy-efficient broadcast and multicast trees in wireless networks. In: Proceedings of the 19th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM), pp. 585–594. IEEE Computer Society, Los Alamitos (2000)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Flammini, M., Navarra, A., Perennes, S. (2005). The “Real” Approximation Factor of the MST Heuristic for the Minimum Energy Broadcasting. In: Nikoletseas, S.E. (eds) Experimental and Efficient Algorithms. WEA 2005. Lecture Notes in Computer Science, vol 3503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427186_4

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  • DOI: https://doi.org/10.1007/11427186_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25920-6

  • Online ISBN: 978-3-540-32078-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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