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arXiv 1402.4576cs.ITcs.NImath.IT
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随机请求下的缓存编码组播平均性能研究

On the Average Performance of Caching and Coded Multicasting with Random Demands

Mingyue Ji, Antonia M. Tulino, Jaime Llorca, Giuseppe Caire

摘要:

对于具有一个发送方、$n$接收方(用户)和$m$可能的消息(文件)的网络,在用户处高速缓存辅助信息允许通过发送公共(多播)编码消息来满足任意的同时需求。在最坏情况下的需求设置,明确的确定性和随机缓存策略和明确的线性编码方案已被证明是顺序最优的。在这项工作中,我们考虑相同的情况下,用户的需求是随机的i.i.d.,根据Zipf流行度分布。在这种情况下,我们提出的问题的最小平均数的等效消息传输。我们提出了一种新的分散随机缓存的位置和编码的交付计划,以实现订单最优性能。事实上,这是随机需求情况下缓存和编码组播问题的一阶最优结果。

英文摘要:

For a network with one sender, $n$ receivers (users) and $m$ possible messages (files), caching side information at the users allows to satisfy arbitrary simultaneous demands by sending a common (multicast) coded message. In the worst-case demand setting, explicit deterministic and random caching strategies and explicit linear coding schemes have been shown to be order optimal. In this work, we consider the same scenario where the user demands are random i.i.d., according to a Zipf popularity distribution. In this case, we pose the problem in terms of the minimum average number of equivalent message transmissions. We present a novel decentralized random caching placement and a coded delivery scheme which are shown to achieve order-optimal performance. As a matter of fact, this is the first order-optimal result for the caching and coded multicasting problem in the case of random demands.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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