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VISSIM 5.30-05 User Manual

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12 Dynamic Assignment<br />

TO<br />

n,<br />

κ<br />

i<br />

= measured (”observed“) travel time on edge i for period k in<br />

iteration n<br />

T<br />

n,<br />

κ<br />

i<br />

= expected travel time on edge i for period k in iteration n<br />

α = constant smoothing factor (user-defined).<br />

Please note that this kind of smoothed average of travel times includes the<br />

information of all preceding iterations but the “older” an iteration is, the less it<br />

influences the measurements of the current iteration. If a smoothing factor of<br />

0.5 is used, the last iteration n has a weight of 50%, iteration (n-1) has a<br />

weight of 25%, iteration (n-2) has a weight of 12.5% and so on.<br />

MSA<br />

With a new set of measured values, the smoothed travel time is computed as<br />

the weighted sum of<br />

► the old smoothed value (from previous iterations) and<br />

► the newly measured value (from current iteration).<br />

That smoothed value represents the travel time that we expect in the next<br />

iteration.<br />

Formally:<br />

κ 1 κ 1<br />

T<br />

n,<br />

( 1 )<br />

n 1,<br />

TO<br />

n, κ<br />

i<br />

= − ⋅T<br />

−<br />

N n i<br />

+ ⋅<br />

+<br />

N + n i<br />

where<br />

N = user-defined value<br />

K = index of the evaluation interval within the simulation period<br />

n = index of the assignment iteration<br />

i = index of the edge<br />

TO<br />

n,<br />

κ<br />

i<br />

= measured (”observed“) travel time on edge i for period k in<br />

iteration n<br />

T<br />

n,<br />

κ<br />

i<br />

= expected travel time on edge i for period k in iteration n<br />

1<br />

= variable smoothing factor resulting from parameter N and the<br />

N + n<br />

index of the iteration<br />

12.5.3 General Cost<br />

Travel Time is not the only factor to influence route choice. There are at least<br />

two other major influences: travel distance and financial cost (e.g. tolls). In<br />

contrast to travel times these factors are not depending on the traffic<br />

situation and thus have not to be determined by simulation.<br />

622 <strong>VISSIM</strong> <strong>5.30</strong>-<strong>05</strong> © PTV AG 2011

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