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Chin. Phys. B, 2016, Vol. 25(5): 050505    DOI: 10.1088/1674-1056/25/5/050505
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Dynamic properties of chasers in a moving queue based on a delayed chasing model

Ning Guo(郭宁)1, Jian-Xun Ding(丁建勋)2,3, Xiang Ling(凌翔)2, Qin Shi(石琴)2, Reinhart Kühne2,4
1. School of Engineering Science, University of Science and Technology of China, Hefei 230026, China;
2. School of Transportation Engineering, Hefei University of Technology, Hefei 230009, China;
3. Key Laboratory of Process Optimization and Intelligent Decision-Making of Ministry of Education, Hefei 230009, China;
4. Department for Transportation, University of Stuttgart, Stuttgart 70174, Germany
Abstract  A delayed chasing model is proposed to simulate the chase behavior in the queue, where each member regards the closest one ahead as the target, and the leader is attracted to a target point with slight fluctuation. When the initial distances between neighbors possess an identical low value, the fluctuating target of the leader can cause an amplified disturbance in the queue. After a long period of time, the queue recovers the stable state from the disturbance, forming a straight-line-like pattern again, but distances between neighbors grow. Whether the queue can keep stable or not depends on initial distance, desired velocity, and relaxation time. Furthermore, we carry out convergence analysis to explain the divergence transformation behavior and confirm the convergence conditions, which is in approximate agreement with simulations.
Keywords:  chase queue      disturbance      convergence analysis  
Received:  28 October 2015      Revised:  18 January 2016      Published:  05 May 2016
PACS:  05.65.+b (Self-organized systems)  
  89.75.-k (Complex systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 71071044, 71001001, 71201041, and 11247291), the Doctoral Program of the Ministry of Education of China (Grant Nos. 20110111120023 and 20120111120022), the Postdoctoral Fund Project of China (Grant No. 2013M530295), the National Basic Research Program of China (Grant No. 2012CB725404), and 1000 Plan for Foreign Talent, China (Grant No. WQ20123400070).
Corresponding Authors:  Ning Guo     E-mail:  guoning_945@126.com

Cite this article: 

Ning Guo(郭宁), Jian-Xun Ding(丁建勋), Xiang Ling(凌翔), Qin Shi(石琴), Reinhart Kühne Dynamic properties of chasers in a moving queue based on a delayed chasing model 2016 Chin. Phys. B 25 050505

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