Barabasi排队模型的精确结果
Exact results for the Barabasi queuing model
摘要:
以前的工作介绍了巴拉巴西排队模型占重尾分布的时间模式中发现的许多人类活动主要集中在极端动态的情况下,只有两个项目的清单。在这里,我们得到确切的结果与任意值的列表长度$L$和随机性的程度之间的确定性和纯随机限制插值的一般情况下。从主方程的解中提取统计基本量。从这个分析中,新的缩放功能的模型被发现。
英文摘要:
Previous works on the queuing model introduced by Barabási to account for the heavy tailed distributions of the temporal patterns found in many human activities mainly concentrate on the extremal dynamics case and on lists of only two items. Here we obtain exact results for the general case with arbitrary values of the list length $L$ and of the degree of randomness that interpolates between the deterministic and purely random limits. The statistically fundamental quantities are extracted from the solution of master equations. From this analysis, new scaling features of the model are uncovered.
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。