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

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Chapter 5<strong>Traffic</strong> <strong>Flow</strong> <strong>Optimization</strong>This chapter proposes consecutive steps to f<strong>in</strong>d the optimal <strong>of</strong>fset <strong>and</strong> thesplit <strong>of</strong> the light controlled <strong>in</strong>tersections <strong>in</strong> the urban traffic region. Theoptimization takes <strong>in</strong>to account the street length, number <strong>of</strong> lanes <strong>and</strong> maximalallowed vehicle speed <strong>in</strong> consideration to respect the green wave strategycontrol <strong>and</strong> constant <strong>in</strong>tersection cycle time. The solution <strong>of</strong> this problem isshown on the urban traffic region <strong>in</strong> Prague. The problem is formalized <strong>and</strong>solved by the TORSCHE.5.1 IntroductionThe light controlled <strong>in</strong>tersections are characterized by several parameters:the number <strong>of</strong> light phases, phase split, <strong>of</strong>fset time <strong>and</strong> a list <strong>of</strong> streets fromwhich the vehicles flow [Gube 08]. The term phase means state <strong>of</strong> trafficlights on the <strong>in</strong>tersection. The number <strong>of</strong> phases <strong>and</strong> the list <strong>of</strong> streets arepartially given by the urban architecture <strong>of</strong> the <strong>in</strong>tersection <strong>and</strong> partiallyby the <strong>in</strong>tersection control strategy (i.e. one-way street, directional roadwaymark<strong>in</strong>g). Both <strong>of</strong> these parameters are constant. On the other h<strong>and</strong>, thesplit <strong>and</strong> <strong>of</strong>fset can be changed dynamically dur<strong>in</strong>g a day. The split τ vjdef<strong>in</strong>es the time <strong>in</strong>terval <strong>of</strong> phase j for which the vehicle flow can go throughthe <strong>in</strong>tersection v from one or more streets [Papa 03]. The <strong>of</strong>fset ϕ uv is acerta<strong>in</strong> time delay between phases <strong>of</strong> two successive <strong>in</strong>tersections u <strong>and</strong> v.When the <strong>of</strong>fset is zero, all lights <strong>in</strong> the region turn on <strong>and</strong> <strong>of</strong>f at the sametime. It is called the synchronized strategy. In the green wave strategy, the53

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