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Spatio-temporal organization of a cellular automaton model for computer network

机译：计算机网络元胞自动机模型的时空组织

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摘要

It was unveiled by Ren et al. [Comput. Phys. Comm. (2001)] that congestion transition emerges in cellular automaton models for computer network and this NaSch network model with Q = 1 has similar behaviours as the NaSch traffic model with maximum velocity v_(max) = 1. For these two NaSch models, the main difference lies in a node cell contained in the NaSch network model. In this paper, we will focus on our further investigation on spatio-temporal organization of the NaSch network network model. In this paper, we will focus on our further investigation on spatio-temporal organization of the NaSch network model. More interesting phenomena of phase transition are discovered. Firstly, fundamental diagram illustrates that when Q > 1 for the NaSch network model it is significantly different from its counterpart, i.e. the NaSch traffic model in a road traffic system. The addition of a node cell, which is allowed to have more than one packets, will lead to generating a new phase. Secondly, in order to characterize phase transition occurred in the NaSch network model, an order parameter is presented with the use of the time average density of nearest-neighbor pairs m. The computational results obtained show that criticality will disappear in a strict sense if noise exists. Finally, two other numerical features, i.e. spatial correlation functions G(r) and relaxation times τ, are analyzed so as to deeply describe behaviours near critical points.
机译：Ren等人揭开了它的面纱。 [计算机。物理通讯（2001）]拥塞过渡出现在计算机网络的蜂窝自动机模型中，并且该Q = 1的NaSch网络模型与最大速度为v_（max）= 1的NaSch交通模型具有相似的行为。对于这两个NaSch模型，主要区别在于NaSch网络模型中包含的节点单元。在本文中，我们将集中精力进一步研究NaSch网络模型的时空组织。在本文中，我们将集中精力进一步研究NaSch网络模型的时空组织。发现了更有趣的相变现象。首先，基本图说明了当NaSch网络模型的Q> 1时，它与对应模型（即道路交通系统中的NaSch交通模型）有很大不同。节点单元的增加将允许具有多个数据包，这将导致生成一个新阶段。其次，为了表征在NaSch网络模型中发生的相变，使用最近邻居对的时间平均密度m给出阶次参数。计算结果表明，如果存在噪声，则严格意义上的临界度将消失。最后，分析了另外两个数值特征，即空间相关函数G（r）和弛豫时间τ，以深入描述临界点附近的行为。

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