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208	       Big	Data	Analytics	for	Connected	Vehicles	and	Smart	Cities	       	               Practical Applications and Concepts for Transportation Data Analytics 	  209


          neck that is exhibiting multiple speed drops and increases around the reference
          speed represent a single bottleneck.
               Unfortunately,  the  speed  variability,  bottleneck,  and  characterization
          work discussed above did not yield a statistically significant difference between
          the conditions before the VSL sign implementation and afterward. This led to
          discussion and consideration of alternative approaches to the analytics.
               Speed variability and bottleneck characterization techniques were applied
          as part of the original analysis. Unfortunately, this did not yield a statistically
          significant result that showed an improvement from the before situation to the
          after situation. Speed variability on its own did not provide a useful measure of
          the effects of the VSL signs.
               At the midway point of the work, some six months into the schedule, a
          briefing and discussion with the client provided a breakthrough insight into the
          evaluation problem. In a discussion regarding the subjective effects of the VSL
          signs, a senior member of the state DOT staff stated:


               When  you  drive  the  corridor  during  incidents  conditions,  you  get  the
               impression  that  the  traffic  is  somehow  more  tranquil  than  before  we
               installed the variable speed limit signs.

               This insight led to a review of the parameters that were adopted for the
          evaluation. It became clear that simple speed variability, standard deviation,
          or averages may not provide insight addressing the subjective statement. The
          evaluation team then considered the word tranquil and realized that the op-
          posite of tranquil would be turbulent. This thought led to the determination
          that an evaluation parameter that measured traffic turbulence may be a more
          appropriate measurement and might yield a clear result.
               Subsequent discussions with the data science team identified a new can-
          didate evaluation parameter—traffic turbulence. Traffic turbulence was defined
          as the change in speed between adjacent segments times that occurrence of that
          event. Further analysis also identified that the most significant location to mea-
          sure traffic turbulence is at the end of the queue, where it would be expected
          that the VSL effects would be most pronounced due to the warning given to
          drivers approaching the end of the queue.
               This represented a discovery moment. While the previous analytics work
          did not yield a statistically significant result, it did form the basis for under-
          standing the characteristics of the data sufficient to form the foundation for a
          traffic turbulence analysis. Given a new understanding of the complexity of the
          analysis, the team decided to focus on traffic turbulence analysis based on traffic
          speeds, while putting the other factors to one side.
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