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arXiv 0711.2191math.PRmath.OC
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一类约束变分问题的唯一性与缓冲区容量的大偏差

Uniqueness of a constrained variational problem and large deviations of buffer size

Adam Shwartz, Alan Weiss

摘要:

利用尺度性质证明了一类约束变分问题解的全局唯一性。这是用来建立在多维的大偏差问题的解决方案的本质唯一性。其结果是出于模型的缓冲区,特别是概率,和典型的路径溢出的限制,小缓冲区,我们分析。

英文摘要:

We show global uniqueness of the solution to a class of constrained variational problems, using scaling properties. This is used to establish the essential uniqueness of solutions of a large deviations problem in multiple dimensions. The result is motivated by models of buffers, and in particular the probability of, and typical path to overflow in the limit of small buffers, which we analyze.

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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