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Chin. Phys. B, 2020, Vol. 29(1): 018901    DOI: 10.1088/1674-1056/ab5935
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev  

Major impact of queue-rule choice on the performance of dynamic networks with limited buffer size

Xiang Ling(凌翔)1, Xiao-Kun Wang(王晓坤)1, Jun-Jie Chen(陈俊杰)1, Dong Liu(刘冬)2, Kong-Jin Zhu(朱孔金)1, Ning Guo(郭宁)1
1 School of Automotive and Transportation Engineering, Hefei University of Technology, Hefei 230009, China;
2 School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China
Abstract  We investigate the similarities and differences among three queue rules, the first-in-first-out (FIFO) rule, last-in-first-out (LIFO) rule and random-in-random-out (RIRO) rule, on dynamical networks with limited buffer size. In our network model, nodes move at each time step. Packets are transmitted by an adaptive routing strategy, combining Euclidean distance and node load by a tunable parameter. Because of this routing strategy, at the initial stage of increasing buffer size, the network density will increase, and the packet loss rate will decrease. Packet loss and traffic congestion occur by these three rules, but nodes keep unblocked and lose no packet in a larger buffer size range on the RIRO rule networks. If packets are lost and traffic congestion occurs, different dynamic characteristics are shown by these three queue rules. Moreover, a phenomenon similar to Braess' paradox is also found by the LIFO rule and the RIRO rule.
Keywords:  dynamical network      queue rule      buffer size      traffic congestion  
Received:  17 October 2019      Revised:  11 November 2019      Accepted manuscript online: 
PACS:  89.75.Hc (Networks and genealogical trees)  
  45.70.Vn (Granular models of complex systems; traffic flow)  
  05.70.Fh (Phase transitions: general studies)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 71801066 and 71431003) and the Fundamental Research Funds for the Central Universities of China (Grant Nos. PA2019GDQT0020 and JZ2017HGTB0186).
Corresponding Authors:  Ning Guo     E-mail:  guoning_945@126.com

Cite this article: 

Xiang Ling(凌翔), Xiao-Kun Wang(王晓坤), Jun-Jie Chen(陈俊杰), Dong Liu(刘冬), Kong-Jin Zhu(朱孔金), Ning Guo(郭宁) Major impact of queue-rule choice on the performance of dynamic networks with limited buffer size 2020 Chin. Phys. B 29 018901

[1] Pastor-Satorras R and Vespignani A 2001 Phys. Rev. Lett. 86 3200
[2] Liu X, Wang J F, Wei J, Menno J, Jeroen S T and Zhao H 2018 Chin. Phys. B 27 120501
[3] Du W B, Liang B Y, Yan G, et al. 2016 Chin. J. Aeronautics 30 330
[4] Zhou J and Liu Z H 2008 Front. Phys. Chin. 3 331
[5] Strogatz S 2001 Nature 410 268
[6] Guo R Y and Huang H J 2008 Chin. Phys. B 17 1698
[7] Du W B, Zhou X L, Lordan O Wang Z, Zhao C and Zhu Y B 2016 Trans. Res. Part. E 89 108
[8] Du W B, Zhang M Y, Zhang Y, Cao X B and Zhang Z 2018 Trans. Res. Part. E 118 466
[9] Du W B, Zhang M Y, Ying W, Perc M, Tang K, Cao X B and Wu D P 2018 Appl. Math. Comput. 338 33
[10] Watts D J and Strogatz S H 1998 Nature 393 440
[11] Vinel A, Lan L and Lyamin N 2015 IEEE Commun. Mag. 53 192
[12] Buldyrev S V, Parshani R, Paul G, et al. 2010 Nature 464 1025
[13] Yang H X, Tang M and Lai Y C 2015 Phys. Rev. E 91 062817
[14] Zhang X, Boccaletti S, Guan S and Liu Z 2015 Phys. Rev. Lett. 114 038701
[15] Donoho D L 2006 IEEE Trans. Inform. Theory 52 1289
[16] Ling X, Hu M B and Ding J X 2012 Chin. Phys. B 21 098902
[17] Yan G, Zhou T, Hu B, Fu Z Q and Wang B H 2006 Phys. Rev. E 73 046108
[18] Zhou T, Sun D H, Li H M and Liu W N 2014 Chin. Phys. B 23 050203
[19] Chen S, Huang W, Cattani C and Altieri G 2012 Math. Probl. Eng. 2012 2 194
[20] Jian Y H, Liu E W, Zhang Z Q and Qu X Y 2015 IEEE Commun. Lett. 19 625
[21] Ge H X, Yu J and Lo S M 2012 Chin. Phys. Lett. 29 050502
[22] Li S B, Sun Z X, Liu J H and Chen H H 2016 Chin. Phys. B 25 088902
[23] Jiang Z Y and Liang M G 2013 Physica A 392 1894
[24] Jiang Z Y, Liang M G and An W J 2014 Physica A 394 379
[25] Song H Q and Guo J 2015 Chin. Phys. B 24 108901
[26] Ling X, Hu M B, Du W B, Jiang R, Wu Y H and Wu Q S 2010 Phys. Lett. A 374 4825
[27] Yang X X, Li J, Pu C L, Yan M C, Sharafat R R, Yang J, Gakis K and Pardalos P M 2017 Phys. Rev. E 95 012322
[28] Yang H X and Tang M 2014 Physica A 402 1
[29] Gao L, Shu P P, Tang M, Wang W and Gao H 2019 Phys. Rev. E 100 012310
[30] Braess D, Nagurney A and Wakolbinger T 2005 Transp. Sci. 39 446
[31] Manfredi S, Di Tucci E and Latora V 2018 Phys. Rev. Lett. 120 068301
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