Research Article

Exploring Travel Time Distribution and Variability Patterns Using Probe Vehicle Data: Case Study in Beijing

Table 1

Travel time reliability measures.

CategoryMeasureDefinition

Probability indexVarianceThe expected value of the square of the deviations of a random variable from its mean value
Standard deviationThe square root of the variance
Coefficient of variationStandard deviation divided by the average travel time

Statistical indexth percentileth percentile of the travel time distribution
Skewness statisticThe ratio of the difference between 90th and 50th percentile travel time to the difference between 50th and 10th percentile
Width statisticThe ratio of the difference between 90th and 10th percentile travel time to the 50th percentile travel time
Travel time indexThe ratio of the average travel time to free-flow travel time
Planning time indexThe ratio of 50th percentile travel time to free-flow travel time

Buffer time type indexBuffer time indexThe ratio of the difference between 95th percentile and the average travel time to the average travel time
Failure/on-time performancePercent of trips with travel time less than, for example, , , and so on
Frequency of congestionPercent of time that the travel time is larger than double the free-flow travel time
Misery indexThe average of the highest five percent of travel times divided by the free-flow travel time