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多播路由算法MPH的时间复杂度研究 被引量:2

A Corrigendum to the Time Complexity of Multicast Routing Algorithm MPH
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摘要 多播通信是从一个源点同时向网络中的多个成员发送分组的通信服务 ,一个最小代价的多播路由算法是NP完全的 ,在时间敏感的应用中其运行时间是一个关键问题 .MPH(MinimumPathCostHeuristic)算法是一个著名的启发式最小代价多播路由算法 ,本文对该算法进行了理论分析和证明 ,并做了广泛的仿真实验 ,结果表明其时间复杂度是O(m2 n)而不是过去文献中所给出的O(m2 n +e) . Multicasting is a communication service that allows a source to efficiently transmit copies of data packet to a set of destination nodes.The run time of multicast routing algorithm is a key problem in real time applications since finding a minimum cost multicast tree is NP-completeness.MPH(Minimum Path Cost Heuristic)algorithm is a famous heuristic solution to multicast routing.In this paper,we show that the O(nm2+e) time complexity of MPH in previous literatures is not correct by theory analysis and extensive simulation,where n is number of network nodes,m is number of destination nodes and e is number of network edges.Furthermore,a precise time bound O(nm2) is proposed.
出处 《电子学报》 EI CAS CSCD 北大核心 2004年第10期1706-1708,共3页 Acta Electronica Sinica
基金 国家自然科学基金 (No .60 2 730 75)
  • 相关文献

参考文献5

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同被引文献10

  • 1刘文彬,李陶深.一种最小代价组播树的快速算法[J].计算机应用与软件,2006,23(2):25-27. 被引量:3
  • 2王显雷,吴志美.二层组播QoS最优生成树[J].计算机研究与发展,2007,44(5):882-889. 被引量:3
  • 3G L Xue.Minimum-cost QoS multicast and unicast routing in communication networks[J].IEEE Trana on Communications,2003,51(5):817-824
  • 4P Winter.Steiner problem in networks:Survey[J].Networks.1987,17(2):129-167
  • 5H F Salama.Evaluation of multicast routing algorithm for real-time communication on high-speed networks[J].IEEE Journal on Selected Areas in Communication,1997,15(3):332-345
  • 6L H Sahasrabuddhe,B Mukherjee.Multicast routing algorithms and protocols:A tutorial[J].IEEE Network,2000,(2):90-102
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  • 8L Kou,G Markowsky,L Berman.A fast algorithm for Steiner trees in graphs[J].Acta Informatica,1981,15(2):141-145
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  • 10余燕平,仇佩亮.一种改进的Steiner树启发式算法[J].通信学报,2002,23(11):35-40. 被引量:16

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