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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Xiaoling Cui,Xiaoyu Chen,Song Xiao.Totally Asymmetric Simple Exclusion Process under Exit Control Feedback Policy[J].Journal of Harbin Institute Of Technology(New Series),2022,29(3):88-92.DOI:10.11916/j.issn.1005-9113.20081.
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Totally Asymmetric Simple Exclusion Process under Exit Control Feedback Policy
Author NameAffiliation
Xiaoling Cui School of Mechanical & Vehicle Engineering, Linyi University, Linyi 276000, Shandong China 
Xiaoyu Chen Laboratory of Electromagnetic Processes of Materials, Northeastern University, Shenyang 110004, China 
Song Xiao School of Mechanical & Vehicle Engineering, Linyi University, Linyi 276000, Shandong China 
Abstract:
The effect of the exit control feedback policy on traffic flow was investigated in this paper. Here, the exit rate (β) can be defined as a function of the hopping rate (p), the current (J) and the bulk density (ρbulk), which can be rewritten as β= p-J/ρbulk. A model based on normal totally asymmetric simple exclusion process (TASEP) has been analyzed by mean field approach. It is found that a phase transformation point exists in the phase diagram, which is determined by p. In addition, the traffic flow of the system achieves maximum current when the exit rate maintains itself at[KG*2]β= p/2 for all other phases except the low density (LD) phase. The result implies that we can use the control feedback policy to make the traffic flow reach the maximum value when the traffic system is in the traffic jam status.
Key words:  TASEP  exit control feedback  phase diagram
DOI:10.11916/j.issn.1005-9113.20081
Clc Number:U491
Fund:
Descriptions in Chinese:
  

出口控制反馈策略下的完全非对称简单排他过程

崔晓玲1, 陈晓瑜2, 肖松1

(1. 临沂大学 机械与车辆工程学院, 山东 临沂 276000;

2.东北大学 材料电磁过程实验室,沈阳 110004)

摘要:

本文研究了出口控制反馈策略对交通流的影响。出口速率(β)定义为跳变速率(p)、电流(J)和体积密度(ρbulk)的函数,并改写为β = p - J/ρbulk。采用平均场法对基于完全不对称简单排他过程(TASEP)的模型进行了分析。相图中存在一个相变点,由p决定。此外,除低密度(LD)相外,其他各相出口率保持在β = p/2时,系统流量达到最大电流。结果表明,当交通系统处于交通堵塞状态时,可以采用控制反馈策略使交通流量达到最大值。

关键词:完全非对称简单排他过程;出口控制反馈;相图

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