STOCHASTIC TRAFFIC DEMAND PROFILE

Igor Mikolášek
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Abstract

Traffic surveys routinely estimate the profile of traffic demand in a certain road section, showing the expected evolution of the demand over a workday or weekend. However, the actual demand fluctuates around this value. That can lead to brief excess of the capacity at the moment of high demand and consequent congestion due to the capacity drop. This type of traffic demand variability has not yet been properly studied despite the fact it can play significant role in traffic modelling and engineering applications. This paper presents results of analysis of demand variability in five-minute aggregation intervals. The results do not clearly show a single random distribution that would accurately model the demand variability. Normal, lognormal and gamma distributions all show reasonably well fit to the data for individual intervals. Based on count of best fits, the lognormal distribution seems best, but in most cases, the difference between the distributions is not statistically significant. There appears to be a pattern where certain distributions have better fit in different times of day and week. The regularity and magnitude of demand (e.g. morning peak hour) probably play a role in this, as well as the aggregation interval.
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随机交通需求曲线
交通调查通常估算某一路段的交通需求概况,显示工作日或周末的预期需求变化。然而,实际需求在这个值附近波动。这可能导致在高需求时刻出现短暂的运力过剩,以及由于运力下降而导致的拥堵。尽管这种类型的交通需求变化在交通建模和工程应用中发挥着重要作用,但它尚未得到适当的研究。本文给出了在5分钟聚合间隔内需求变化的分析结果。结果并没有清晰地显示出一个单一的随机分布,可以准确地模拟需求的变化。正态分布、对数正态分布和伽玛分布都很好地拟合了单个区间的数据。根据最佳拟合次数,对数正态分布似乎是最好的,但在大多数情况下,分布之间的差异在统计上并不显著。似乎存在一种模式,即某些分布更适合于一天和一周的不同时间。需求的规律性和规模(例如早高峰时间)可能在其中发挥作用,以及聚合间隔。
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