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Scaling of On-Demand Broadcast Scheduling in Stressed Networks

机译：压力网络中按需广播调度的扩展

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摘要

The United States is deploying the broadband wireless network for public safety and emergency response. While this will provide a foundational network when disasters or other emergencies appear, the network capacity could still be insufficient when large scale emergency events, such as earthquakes or flooding, happen. On-demand broadcast is a possible solution to address this situation, but its effectiveness remains unknown. In this paper, we aim to uncover the effectiveness of on-demand broadcast at different situations. Specifically, we study the scaling of average response time on the information requests with regard to the indicators of the content diversity–the number of distinct content files and the content popularity distribution. To achieve this goal, we first derive the lower bound of the average response time. We further investigate broadcast for streaming videos and uncover that parallel broadcast could have the same lower bound as the sequential broadcast under certain conditions. Based on the lower bound we derived, we evaluate the scaling of response time with regard to the number of files under different distributions. We further provide numerical results to demonstrate the accuracy of the approximation and the value of the lower bound on evaluating the optimality of a basic heuristic on-demand broadcast scheme.
机译：美国正在为公共安全和紧急响应部署宽带无线网络。虽然这将在灾难或其他紧急情况出现时提供基础网络，但是当发生大规模紧急事件（例如地震或洪水）时，网络容量可能仍然不足。按需广播是解决这种情况的一种可能解决方案，但是其有效性仍然未知。在本文中，我们旨在揭示在不同情况下点播的有效性。具体来说，我们针对内容多样性的指标（不同内容文件的数量和内容受欢迎程度的分布），研究了信息请求的平均响应时间的缩放比例。为了实现此目标，我们首先得出平均响应时间的下限。我们将进一步研究流式视频的广播，并发现在某些条件下并行广播可能具有与顺序广播相同的下限。基于我们得出的下限，我们针对不同分布下的文件数评估响应时间的缩放比例。我们还提供了数值结果，以证明在评估基本启发式点播广播方案的最优性时，逼近的准确性和下界的值。

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