Queueing process with excluded-volume effect.
Queueing process with excluded-volume effect.
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具有排除量效应的排队过程。
DOI：
10.1103/physreve.80.051119
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
C. Arita
中科院分区：
文献类型：
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作者：
C. Arita
我们引入了一个具有空间结构和排斥体积效应的M/M/1扩散过程的推广。粒子跳跃的规则与完全不对称简单排斥过程（TASEP）相同。一个稳态的解决方案是构造在一个稍微安排矩阵产品的形式开放TASEP。我们根据模型是否具有平稳状态获得了分隔参数空间的临界线。我们计算了模型的平均长度和粒子数，并证明了在定态下长度概率的单调性。我们还考虑了一个广义的模型，允许粒子的后向跳跃和一个交替加入系统的M/M/1嵌入过程和开放的TASEP。
We introduce an extension of the M/M/1 queueing process with a spatial structure and excluded-volume effect. The rule of particle hopping is the same as for the totally asymmetric simple exclusion process (TASEP). A stationary-state solution is constructed in a slightly arranged matrix product form of the open TASEP. We obtain the critical line that separates the parameter space depending on whether the model has the stationary state. We calculate the average length of the model and the number of particles and show the monotonicity of the probability of the length in the stationary state. We also consider a generalization of the model with backward hopping of particles allowed and an alternate joined system of the M/M/1 queueing process and the open TASEP.