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I need help exploring the mathematics behind stoplights (the timed ones). Any help?
This is a discussion on I need help exploring the mathematics behind stoplights (the timed ones). Any help? within the General Chat forums, part of the Main Category category; I am writing a math research report. I will compare how the duration of a traffic light may or may ...
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10-07-2009, 12:01 AM
| #1 |
| Junior Member Join Date: Jun 2008
Posts: 2
| I am writing a math research report. I will compare how the duration of a traffic light may or may not be related to the number of cars on a given street. I will also invent a scenario and try to create an equation to calculate the proportion between the traffic light and the number of cars. Anyone know anything related to this topic or a place where I can find help? |
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10-07-2009, 12:44 AM
| #2 |
| Junior Member Join Date: Oct 2009
Posts: 1
|  Go to Google.co.uk or ask.com !!!!!!!!!!!! |
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10-07-2009, 12:52 AM
| #3 |
| Junior Member Join Date: Oct 2009
Posts: 1
| I think you are venturing into the area of difference equations. I know that some lights are on a fixed timer (t is always constant), whereas some lights are controlled by sensors which detect the number of waiting cars. Each car will pass through the light in some amount of time, c, (which will be different for each car). Now the cars will legally pass the intersection only when (t - c) > 0. The time, c, for each car depends upon its initial speed and position when light turned green, as well as the subsequent acceleration. I think once you figure out a good equation for a single car, you would need to add together all the cars waiting behind the light to get the total. Not sure if this is of any help, but it sounds like an interesting report. |
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