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Contiguous Search in the Hypercube for Capturing an Intruder

机译:在HyperCube中的邻接搜索,用于捕获入侵者

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In this paper we consider the problem of searching for an intruder in a network. There is a team of collaborative software agents that are deployed to capture a hostile intruder (e.g., a virus). These agents asynchronously move along the network links and the intruder has the capability of escaping arbitrarily fast. We propose two different strategies for the solution of the problem in a widely studied topology: the hypercube network. In the first strategy one of the agents acts as a coordinator making the other agents move in a precise way; this strategy requires O(n log n) moves, a team of O(frac{n}{{nlog n}}) agents and runs in O(n log n) time steps. The second strategy is devised for a model where the agents are allowed to "see" the state of their neighbours. In this case, the computation is local, i.e., there is no need of a coordinator and agents can move automously. In this setting the solution requires frac{n}{2} agents, but is much faster (log n time steps), and requires the same number of moves (O(n log n)).
机译:在本文中,我们考虑在网络中寻找入侵者的问题。有一支部署的协作软件代理团队,以捕获敌对入侵者(例如,病毒)。这些代理沿网络链路异步移动,入侵者具有速度任意快速逸出的能力。我们提出了两种不同的策略,以解决广泛研究的拓扑问题:超级网络。在第一个策略中,其中一名代理人充当协调员,使其他代理能够以精确的方式移动;此策略需要O(n log n)移动,一个o(frac {n} {{nlog n})代理的团队,并在O(n log n)时间步骤中运行。第二次策略被设计为允许代理人“看到”邻居状态的模型。在这种情况下,计算是本地的,即,不需要协调器,并且代理可以自动移动。在此设置中,解决方案需要FRAC {n} {2}代理,但要更快(log n时间步长),并且需要相同数量的移动(O(n log n))。

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