两餐馆问题的长度变化
Queue-length Variations In A Two-Restaurant Problem
摘要：
本文试图在一个偏好依恋模型的背景下，用数值的方法来研究长度-长度比的分布。在这里，我们只考虑两家餐厅和大量的客户（代理商）谁来这些餐厅。每天都有相同数量的代理人依次到达并决定进入哪个餐厅。如果所有的代理人从字面上跟随人群，那么这个模型和著名的“波利亚的瓮”模型没有区别。但是，随着代理人改变他们的策略，可以看到模型的不同类型的动态。从数值结果中可以看出，不动点的分布的存在是相当稳健的，并且还可以看出，在某些情况下，不动点长度之比的变化遵循幂律。
英文摘要：
This paper attempts to find out numerically the distribution of the queue-length ratio in the context of a model of preferential attachment. Here we consider two restaurants only and a large number of customers (agents) who come to these restaurants. Each day the same number of agents sequentially arrives and decides which restaurant to enter. If all the agents literally follow the crowd then there is no difference between this model and the famous `Pólya's Urn' model. But as agents alter their strategies different kind of dynamics of the model is seen. It is seen from numerical results that the existence of a distribution of the fixed points is quite robust and it is also seen that in some cases the variations in the ratio of the queue-lengths follow a power-law.
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。
