E.0 Executive Summary

In order to "Model Traffic Flow through a Traffic Control Station (Stoplight)" team members had to come up with an exponential function to perform the desired calculations. After working out several calculus equations, the team members were able to decide on which exponential function to use. The calculus equations that were worked out and studied dealt with the flow of traffic, and integrals of acceleration and deceleration. With the help of a mentor, Mr. Berry Estes, the exponential was successfully derived upon. A C++ program was then written, using the exponential function as the main equation, and performed the desired tasks. After writing three C++ programs, the team members were finally able to run the program and get the desired results. The first program calculates the total amount of time that it takes a vehicle to pass through a traffic control station. The second program divides the velocities of the vehicles by the distances between the front bumpers of the incoming vehicles. The third program is a random number generator that calculates random velocities for the vehicles exiting the traffic control station. After analyzing the results that the computer program gave the team members, members were able to conclude how traffic can pass through a stoplight more conveniently. The team was able to come to a conclusion that the faster the speeds are of cars exiting the control station, there will be fewer amount of cars that will be stopping completely at the control station.