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Minimising packet copies in multicast routing by exploiting geographic spread

Published:01 July 1994Publication History
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Abstract

Routing connections in a point-to-point network is typically treated as a shortest path problem in a graph. Nodes represent switching systems, edges represent links and the edge lengths represent the costs associated with using a link. With multicast routing, one is interested in the shortest subtree of the network containing a given set of hosts. This is essentially a Steiner Tree problem in graphs and is known to be NP-complete [Karp]. Traditionally, the multicast routing algorithms proposed for packet switched networks like asynchronous transfer mode (ATM) networks have been aimed at minimising the total link cost of the Steiner tree [Waxman88], [Jaffe83] and do not take the geographical spreading of the connections into account. A dynamic point-to-multipoint routing algorithm is proposed, which takes into account the concept of geographic spread (also defined) of the connections and its performance is evaluated against the KMB near optimal heuristic algorithm for solving the Steiner tree problem [Kou].

References

  1. {Ammar} M.H. Ammar, S.Y. Cheung and C. M. Scoglio, Routing Multipoint Connections Using Virtual Paths in ATM Network, IEEE INFOCOM 1993 pp 98-105.Google ScholarGoogle Scholar
  2. {Bubenik} R. Bubenik, M. Gaddis and J. DeHart. Communicating With Virtual Paths And Virtual Channels. IEEE INFOCOM 1992. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. {Chow} C. Chow. On Multicast Path Finding Algorithms, IEEE INFOCOM, 1991 pp 1274-1283.Google ScholarGoogle ScholarCross RefCross Ref
  4. {Cidon90} I. Cidon, I. Gopal, A. Segall, Fast Connection Establishment In High Speed Networks. Computer Communications Review Vol. 2, No. 4, Sept. 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. {Deering91} S. Deering. Multicast Routing In Datagram Internetwork. PhD Thesis, Stanford Uni. '91. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. {Dijkstra} E.W. Dijkstra, A Note On Two Problems In Connexion With Graphs. Numerische Mathematik 1, pp 269-271 (1959).Google ScholarGoogle Scholar
  7. {Doar} John Matthew Simon Doar, Multicasting In The Asynchronous Transfer Mode Environment. University Of Cambridge, Computer Laboratory Technical Report No. 298, April 1993.Google ScholarGoogle Scholar
  8. {Dreyfus} S.E. Dreyfus and R.A. Wagner. The Steiner Problem In Graphs. Networks 1, pp 195-207 1972.Google ScholarGoogle ScholarCross RefCross Ref
  9. {Gilbert} E.N. Gilbert, Random Graphs, The Annals Of Mathematical Statistics Vol. 30 1959, pp 1141-4.Google ScholarGoogle ScholarCross RefCross Ref
  10. {Karp} Richard M. Karp, Reducibility Among Combinatorial Problems, in Complexity Of Computer Computations, edited by R.E. Miller and J.W. Thatcher.Google ScholarGoogle Scholar
  11. {Kompella} V.P. Kompella, J.C. Pasquale and G.C. Polyzos. Multicasting For Multimedia Applications. IEEE INFOCOM 1992 pp 2078-2085. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. {Kou} L. Kou, G. Markowsky and L. Berman, A Fast Algorithm For Steiner Trees. IBM Thomas J. Watson Research Center, Acta Informatica 15, 141-145 (1981).Google ScholarGoogle Scholar
  13. {Kruskal} Joseph B. Kruskal, On The Shortest Spanning Subtree of a Graph and The Travelling Salesman Problem.Google ScholarGoogle Scholar
  14. {Jaffe83} K. Bharath-Kumar and J. M. Jaffe. Routing To Multiple Destination In Computer Networks. IEEE Transactions On Communications, VolCOM-31, No. 3, March 1983.Google ScholarGoogle Scholar
  15. {Jaffe85} J. M. Jaffe. Distributed Multi-Destination Routing: The Constrainsts Of Local Information. SIAM Journal On Computing Vol. 14 No. 4, November 1985.Google ScholarGoogle Scholar
  16. {Jiang} Xiaofeng Jiang, Multipoint Digital Video Communications, University Of Cambridge, Computer Laboratory, Technical Report No. 251, April, 1992 (PhD Thesis).Google ScholarGoogle Scholar
  17. {Lee} T.T. Lee Nonblocking Copy Networks For Multicast Packet Switching IEEE Journal On Selected Areas In Communications, Vol 6, No. 9, December 1988.Google ScholarGoogle Scholar
  18. {Mizusawa} A. Tanaka and J Mizusawa. Routing Algorithms Of Multiple-Destiantion Telecommunication Services, Electronics Communications In Japan Part 1, Vol 73, No. 7 1990.Google ScholarGoogle ScholarCross RefCross Ref
  19. {Naeher} Naeher Stefan, Max-Planck-Institut Fuer Informatik, Im Stadtwald, D-66 Saarbruecken, FRG.Google ScholarGoogle Scholar
  20. {Ray-Simth83} V.J. Rayward-Smith, The Computation Of Nearly Minimal Steiner Trees In Graphs. Int. J. Math. Educ. Sci. Technol., 1983, vol. 14, No. 1, pp 15-23.Google ScholarGoogle ScholarCross RefCross Ref
  21. {Ray-Smith86} V.J. Rayward-Smith, On Finding Steiner Vertices, Networks Vol. 16 1986, pp 283-294. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. {Segall} A. Segall, T. Barzilai and Y. Ofek. Reliable Multi-User Tree Setup with Local Identifiers. IEEE INFOCOM 1992 pp 2096-2106. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. {Takahashi} H. Takahashi and Akira Matsuyama, An Approximate Solution For The Steiner Problem In Graphs. Mathematica Japanica 24, No. 6 1980, pp 573-577.Google ScholarGoogle Scholar
  24. {Tanaka} Y. Tanaka and P. C. Huang, Multiple Destination Routing Algorithms, IEICE Trans. Commun., Vol. E76-B, No. 5 May 1993.Google ScholarGoogle Scholar
  25. {Tanenbaum} A.S. Tanenbaum Computer Networks, 2nd Edition pp 289-310. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. {Tode} Hideki Tode, Y. Sakai, M. Yamamoto, H. Okada and Y. Tezuka. Multicast Routing Algorithm For Nodal Load Balancing. IEEE Infocom 1992, pp 2086-2095. Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. {Turner} J.S. Turner The Challenge Of Multipoint Communication. Traffic Engineering For ISDN Design and Planning, Elsevier Science Publishers B.V. I.A.C. 1988.Google ScholarGoogle Scholar
  28. {Turner86} J.S. Turner New Directions In Communications (Or Which Way To The Information Age). IEEE Communications Magazine, October 1986 Vol. 24, No. 10.Google ScholarGoogle Scholar
  29. {Turner88} J.S. Turner, Design Of A Broadband Packet Switching Network, IEEE Transactions On Communications, Vol. 36 No. 6, June 1988.Google ScholarGoogle ScholarCross RefCross Ref
  30. {Waxman88} Bernard M. Waxman, Routing Of Multipoint Connections. IEEE Journal On Selected Areas In Communications, Vol. 6, No. 9, December 1988.Google ScholarGoogle Scholar
  31. {Waxman89} Bernard M. Waxman, Evaluation Of Algorithms For Multipoint Routing, Washington University, Sever Institute Of Technology, August 1989, (PhD Thesis). Google ScholarGoogle ScholarDigital LibraryDigital Library
  32. {Waxman93} Bernard M. Waxman, Performance Evaluation Of Multipoint Routing Algorithms. IEEE INFOCOM 1993 pp 980-986.Google ScholarGoogle Scholar
  33. {Winter} Pawel Winter, Steiner Problem In Networks: A Survey. Networks Vol. 17, 1987 pp 129-167. Google ScholarGoogle ScholarDigital LibraryDigital Library

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                  cover image ACM SIGCOMM Computer Communication Review
                  ACM SIGCOMM Computer Communication Review  Volume 24, Issue 3
                  July 1994
                  87 pages
                  ISSN:0146-4833
                  DOI:10.1145/193285
                  • Editor:
                  • David Oran
                  Issue’s Table of Contents

                  Copyright © 1994 Author

                  Publisher

                  Association for Computing Machinery

                  New York, NY, United States

                  Publication History

                  • Published: 1 July 1994

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