排队论中的随机序列
Integer Sequences from Queueing Theory
摘要：
概率分布上的算子可以表示为相关矩序列上的算子，因此对应于整数序列上的算子。因此，有机会将每一种理论应用于另一种理论。此外，概率模型可以是整数序列的来源，无论是经典的还是新的，正如我们通过考虑经典的M/G/1单服务器排队模型所示。我们确定的时刻序列是整数序列。我们建立M/M/1忙期分布和Catalan和Schroeder数之间的联系。
英文摘要：
Operators on probability distributions can be expressed as operators on the associated moment sequences, and so correspond to operators on integer sequences. Thus, there is an opportunity to apply each theory to the other. Moreover, probability models can be sources of integer sequences, both classical and new, as we show by considering the classical M/G/1 single-server queueing model. We identify moment sequences that are integer sequences. We establish connections between the M/M/1 busy period distribution and the Catalan and Schroeder numbers.
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。
