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Markov链的宏观图象(英文)
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作者 李长文 任行者 《青岛大学学报(自然科学版)》 CAS 2005年第2期27-36,共10页
通过几个直观的例子研究了马尔可夫链状态空间的结构及几何性质,如维数,宏观上可视的图形等。证明了这些马尔可夫链的状态空间为具有一定自相似维数的分形集,这些分形集的闭包同样为分形集而且在该维数下的Hausdorff测度为正有限的。
关键词 状态空间 马尔可夫链 宏观图象 分形
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Study of macroscopic fundamental diagram on Shanghai urban expressway network in China 被引量:2
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作者 石心怡 林航飞 《Journal of Southeast University(English Edition)》 EI CAS 2016年第1期106-111,共6页
The macroscopic fundamental diagram( MFD) is studied to obtain the aggregate behavior of traffic in cities. This paper investigates the existence and the characteristics of different types of daily MFD for the Shang... The macroscopic fundamental diagram( MFD) is studied to obtain the aggregate behavior of traffic in cities. This paper investigates the existence and the characteristics of different types of daily MFD for the Shanghai urban expressway network. The existence of MFD in the Shanghai urban expressway network is proved based on two weeks' data.Moreover, the hysteresis phenomena is present in most days and the network exhibits different hysteresis loops under different traffic situations. The relationship between the hysteresis phenomena and the inhomogeneity of traffic distribution is verified. The MFDs in the years of 2009 and 2012 are compared. The hysteresis loop still exists in 2012, which further verifies the existence of the hysteresis phenomenon. The direct relationship between the length of the hysteresis loop( ΔO) and the congestion is proved based on sufficient data. The width of the hysteresis loop, i. e., the drop in network flow( ΔQ) has no relationship with the congestion, and it varies from day to day under different traffic situations. 展开更多
关键词 macroscopic fundamental diagram(MFD) hysteresis phenomena urban expressway network index of congestion
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