Modelling the gap size distribution of parked cars
Modelling the gap size distribution of parked cars
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DOI：
10.1016/j.physa.2004.08.072
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发表时间：
2005-02
影响因子：
3.3
通讯作者：
S. Rawal;G. J. Rodgers
中科院分区：
文献类型：
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作者：
S. Rawal;G. J. Rodgers
我们测量了伦敦市中心多条道路上停放的汽车之间的距离分布。我们将结果与随机顺序吸附模型或随机停车模型进行比较，因为它们通常被称为。我们的实证结果与这些模型并不一致，因此我们引入了停车过程的替代模型。我们提出的第一个模型是，只有当空间大于或等于选定的最小尺寸时，汽车才能停车；在那里额外的空间可以用来操纵。该模型的结果表明，除了沉积过程外，还需要一个重新定位过程来解释我们的实证结果。因此，我们引入了一个进一步的模型，其中在每个时间步，如果空间是空的，汽车以p的概率被随机放置在一条线上，并且以1-p的概率被放置在一个空间中，但随后滚动到最近的停放汽车，因此它与最近的汽车的距离为y，概率为f(y)。我们专注于两个特定的概率f(y)，并发现在一种情况下，差距大小分布与经验结果一致。
We have measured the distribution of distances between parked cars in a number of roads in central London. We compare the results with models of random sequential adsorption, or random car parking models, as they are often called. Our empirical results do not agree with these models, and hence we introduce alternative models for the parking process. The first model we propose is one where cars can only park if the space is greater than or equal to a chosen minimum size; where the extra space can be used for manoeuvering. The results of this model suggest that in addition to a deposition process, a re-positioning process is required to explain our empirical results. Hence, we introduce a further model where at each time step, with probability p, a car is randomly placed on a line if the space is empty and with probabilty 1-p, is placed in a space but then rolls to the nearest parked car so that it is y distance from the nearest car with probability f(y). We concentrate on two specific probabilities f(y) and find that for one case, the gap size distribution agrees with the empirical results.