engineering

Transportation & Traffic Science

The mathematics of moving people and goods — traffic flow dynamics, queueing theory, route optimization, fuel efficiency, and autonomous braking systems.

transportationtraffic flowqueueing theoryroute optimizationfuel efficiencyautonomous braking

Transportation engineering applies mathematics, physics, and computer science to the problem of moving people and cargo safely and efficiently. From the fundamental diagram of traffic flow to the traveling salesman problem, this field is rich with models that explain everyday frustrations — why traffic jams form from nothing, why the other queue always seems faster, and why GPS routes aren't always the shortest path.

These simulations let you experiment with five core transportation models. Explore density-speed relationships in traffic flow. Watch an M/M/1 queue build and drain. Optimize routes for the traveling salesman. Tune vehicle parameters to minimize fuel consumption. And test how sensor delay and speed affect autonomous emergency braking distance.

5 interactive simulations

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Autonomous Emergency Braking Simulator

Simulate autonomous emergency braking (AEB) systems — see how sensor delay, vehicle speed, road friction, and deceleration affect total stopping distance

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Vehicle Fuel Efficiency Simulator

Model how speed, drag coefficient, vehicle mass, and rolling resistance affect fuel consumption — find the optimal cruising speed for maximum efficiency

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Queueing Theory (M/M/1) Simulator

Simulate an M/M/1 queue to explore how arrival rate and service rate determine waiting times, queue length, and system utilization

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Route Optimization (TSP) Simulator

Visualize the traveling salesman problem — compare nearest-neighbor, 2-opt, and simulated annealing algorithms to find short routes through randomly placed cities

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Traffic Flow Simulator

Explore the fundamental diagram of traffic flow — adjust vehicle density to observe the transition from free flow to congested traffic and the emergence of phantom jams