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How to guarantee the transport efficiency of the network and how to improve the network capacity are the main subject of the study presently. We investigate the gravity of the nodes to the transfer of data packets, and propose a routing method based on gravity constraint. In order to characterize the efficiency of the method, we introduce an order parameter H to measure the throughput of the network by a critical value of phase transition from free state to jammed state, and use the maximum travel time 〈Tmax〉 and the average travel time 〈Tavg〉 to test the transmission efficiency of the network. We simulate the network capacity under three different gravity constraints. Simulation results show that when only considering the path with shortest length, the network capacity is very small and the distribution of flow is extremely uneven; when only considering minimum waiting time, the excessive circuitous transfer of data packets occurs and most of the nodes will be in congestion state; when considering the gravity of path length and waiting time simultaneously and choosing a node with reasonable gravity, the network capacity will be improved greatly and the congestion level will be relieved to some extent.
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Keywords:
- complex network /
- gravity /
- throughput /
- congestion
[1] Newman M E J 2003 SIAM Rev. 45 167
[2] Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Phys. Rep. 424 175
[3] Melanie M 2006 Artificial Intelligence 170 1194
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[6] Li S B, Wu J J, Gao Z Y, Lin Y, Fu B B 2011 Acta Phys. Sin. 60 050701 (in Chinese) [李树彬, 吴建军, 高自友, 林勇, 傅白白 2011 60 050701]
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[11] Koo J H, Ji D H, Won S C 2010 Appl. Math. Comput. 217 3916
[12] Dobson I, Carreras B A, Newman D E 2005 Prob. Eng. Inform. Sci. 19 15
[13] Hu K, Hu T, Tang Y 2010 Chin. Phys. B 19 080206
[14] Simonsen I, Buzna L, Peters K 2008 Phys. Rev. Lett. 100 2187
[15] Paster S R, Vespingnani A 2001 Phys. Rev. Lett. 86 3200
[16] Zager L, Verghese G 2009 Complexity 14 12
[17] Lancic A, Antulov F N, Sikic M 2011 Physica A 390 65
[18] Toenjes R, Masuda N, Kori H 2010 Chaos 20 033108
[19] Tu L L 2011 Chin. Phys. B 20 030504
[20] Yang J Z, Zhang M 2005 Chin. Phys. Lett. 22 2183
[21] Daniele D M, Luca D A, Ginestra B, Matteo M 2009 Phys. Rev. E 79 015101
[22] Pu C L, Pei W J 2010 Acta Phys. Sin. 59 3841 (in Chinese) [濮存来, 裴文江 2010 59 3841]
[23] Yan G, Zhou T, Hu B, Fu Z Q 2006 Phys. Rev. E 73 046108
[24] Noh J D 2004 Phys. Rev. Lett. 92 11
[25] Yang S J 2005 Phys. Rev. E 71 016107
[26] Zhao L, Al-Dubai A Y, Min G Y 2011 Simul. Model. Prac. Theory 19 1415
[27] Chen H L, Liu Z X, Chen Z Q, Yuan Z Z 2009 Acta Phys. Sin. 58 6068 (in Chinese) [陈华良, 刘忠信, 陈增强, 袁著祉 2009 58 6068]
[28] Echenique P, Gomez-Gardenes J, Moreno Y 2004 Phys. Rev. E 70 056105
[29] Wang D, Yu H, Jing Y W, Jiang N, Zhang S Y 2009 Acta Phys. Sin. 58 6802 (in Chinese) [王丹, 于灏, 井元伟, 姜囡, 张嗣瀛 2009 58 6802]
[30] Barabási A L, Albert R 1999 Science 286 509
[31] Arenas A, Díaz-Guilera A, Guimerá R 2001 Phys. Rev. Lett. 86 3196
[32] Danila B, Sun Y D, Bassler K E 2009 Phys. Rev. E 80 066116
-
[1] Newman M E J 2003 SIAM Rev. 45 167
[2] Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Phys. Rep. 424 175
[3] Melanie M 2006 Artificial Intelligence 170 1194
[4] Albert R, Barabási A L 2002 Rev. Mod. Phys. 74 47
[5] Strogatz S H 2001 Nature 410 268
[6] Li S B, Wu J J, Gao Z Y, Lin Y, Fu B B 2011 Acta Phys. Sin. 60 050701 (in Chinese) [李树彬, 吴建军, 高自友, 林勇, 傅白白 2011 60 050701]
[7] Lin H, Wu C X 2007 Acta Phys. Sin. 56 4313 (in Chinese) [林海, 吴晨旭 2007 56 4313]
[8] Szabo G, Szolnoki A, Vukov J 2009 Eur. Phys. Lett. 87 18007
[9] Gómez J G, Campillo M, Floríe1 L M, Moreno Y 2007 Phys. Rev. Lett. 98 1081
[10] Chowdhury D 2006 Physica A 372 84
[11] Koo J H, Ji D H, Won S C 2010 Appl. Math. Comput. 217 3916
[12] Dobson I, Carreras B A, Newman D E 2005 Prob. Eng. Inform. Sci. 19 15
[13] Hu K, Hu T, Tang Y 2010 Chin. Phys. B 19 080206
[14] Simonsen I, Buzna L, Peters K 2008 Phys. Rev. Lett. 100 2187
[15] Paster S R, Vespingnani A 2001 Phys. Rev. Lett. 86 3200
[16] Zager L, Verghese G 2009 Complexity 14 12
[17] Lancic A, Antulov F N, Sikic M 2011 Physica A 390 65
[18] Toenjes R, Masuda N, Kori H 2010 Chaos 20 033108
[19] Tu L L 2011 Chin. Phys. B 20 030504
[20] Yang J Z, Zhang M 2005 Chin. Phys. Lett. 22 2183
[21] Daniele D M, Luca D A, Ginestra B, Matteo M 2009 Phys. Rev. E 79 015101
[22] Pu C L, Pei W J 2010 Acta Phys. Sin. 59 3841 (in Chinese) [濮存来, 裴文江 2010 59 3841]
[23] Yan G, Zhou T, Hu B, Fu Z Q 2006 Phys. Rev. E 73 046108
[24] Noh J D 2004 Phys. Rev. Lett. 92 11
[25] Yang S J 2005 Phys. Rev. E 71 016107
[26] Zhao L, Al-Dubai A Y, Min G Y 2011 Simul. Model. Prac. Theory 19 1415
[27] Chen H L, Liu Z X, Chen Z Q, Yuan Z Z 2009 Acta Phys. Sin. 58 6068 (in Chinese) [陈华良, 刘忠信, 陈增强, 袁著祉 2009 58 6068]
[28] Echenique P, Gomez-Gardenes J, Moreno Y 2004 Phys. Rev. E 70 056105
[29] Wang D, Yu H, Jing Y W, Jiang N, Zhang S Y 2009 Acta Phys. Sin. 58 6802 (in Chinese) [王丹, 于灏, 井元伟, 姜囡, 张嗣瀛 2009 58 6802]
[30] Barabási A L, Albert R 1999 Science 286 509
[31] Arenas A, Díaz-Guilera A, Guimerá R 2001 Phys. Rev. Lett. 86 3196
[32] Danila B, Sun Y D, Bassler K E 2009 Phys. Rev. E 80 066116
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