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Modeling and Optimization of Traffic Flow in Urban Areas - Czech ...

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Chapter 1IntroductionThe urban traffic is significantly <strong>in</strong>creas<strong>in</strong>g <strong>in</strong> the large cities. Fig. 1.1 showsthe progress <strong>of</strong> registered vehicles <strong>in</strong> Prague dur<strong>in</strong>g this decade [Prag 09]. Asthe number <strong>of</strong> vehicles <strong>in</strong> the street (given by the density ρ) is <strong>in</strong>creas<strong>in</strong>g, theaverage speed w is decreas<strong>in</strong>g. Similar to computer networks, from a certa<strong>in</strong>state <strong>in</strong>creas<strong>in</strong>g density ρ decreases the traffic flow rate q, which correspondsto a throughput <strong>of</strong> vehicles through the city. The cut-<strong>of</strong>f po<strong>in</strong>t is given by thetraffic stream model [Haef 98] describ<strong>in</strong>g relationships among these parameters.See Fig. 1.2, where the fundamental diagram (graphical representation<strong>of</strong> traffic stream model) <strong>of</strong> real data from the Prague street “Zborovská” isshown. Large number <strong>of</strong> vehicles <strong>and</strong> traffic flow decreas<strong>in</strong>g to zero br<strong>in</strong>gsnumber <strong>of</strong> vehicles10 x 105 9.598.587.576.562001 2002 2003 2004 2005 2006 2007 2008 2009 yearFig. 1.1: Number <strong>of</strong> registered vehicles <strong>in</strong> Prague (different methodology was used<strong>in</strong> the years between 2004 <strong>and</strong> 2008)1

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