An Algorithm Based on Directed Graph

Zhixin Sun, Yadang Chen
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引用次数: 1

Abstract

Aiming at constructing a delay and delay variation bounded Steiner tree in the real-time streaming media communication, we discuss in this paper a multicast routing algorithm based on searching a directed graph (MRASDH).In the construction of the multicast tree, there always exist some nodes and links in the network topology that do not affect the outcome of the tree constructed. Therefore, based on the principle to shrink the search space by deleting these nonrelative nodes and edges to the utmost, and utilizing the ant algorithm, this algorithm generates for each destination node a directed sub-graph of the network topology, in which each node owns a bounded out-degree, and then merges all these sub-graphs into a new directed graph, which serves as the new search space. After these, the algorithm applies the simulated annealing algorithm on the new space for the optimization, and can finally obtain a multicast tree satisfying the constraints. The performance analysis and simulation results have demonstrated that this algorithm can effectively construct a multicast tree with the delay and delay variation constraints while presenting a lower time complexity than the current ones, which means a much better result would be achieved when the system scale rises greatly.
一个基于有向图的算法
为了构造实时流媒体通信中时延和时延变化有界的斯坦纳树,讨论了一种基于有向图搜索的组播路由算法。在组播树的构造过程中,网络拓扑中总会存在一些不影响树构造结果的节点和链路。因此,该算法根据最大限度地删除这些非相关节点和边来缩小搜索空间的原理,利用蚁群算法,为每个目标节点生成一个网络拓扑的有向子图,每个节点都有一个有界出度,然后将所有这些子图合并成一个新的有向图,作为新的搜索空间。在此基础上,利用模拟退火算法对新空间进行优化,最终得到满足约束条件的组播树。性能分析和仿真结果表明,该算法可以有效地构建具有延迟和延迟变化约束的组播树,同时具有比现有算法更低的时间复杂度,这意味着当系统规模大大增加时,可以获得更好的效果。
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