2010-Engineering_Design-4-1

2010-Engineering_Design-4-1 - 1 Optimization Techniques Why...

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1 Computational Solid Mechanics and Design Lab. Optimization Techniques • Why is there a traffic jam? 1. So many cars (vehicles) 2. Why traffic jam when many cars? Ex) Seoul to Busan: 450km 1. Spacing between vehicles is 100m at the speed of 100km/hr 2. Then, 4500 cars can be in one lane (13500 in 3) 3. In an ideal case, it takes 4.5hrs from Seoul to Busan 4. If the number of cars is more than 4500 in a lane, that is 9000, the spacing between vehicles becomes 50m resulting in the speed of 50km/hr
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2 Computational Solid Mechanics and Design Lab. ex) Traffic control • Objective: maximizing the number of vehicles that can pass through (New York City’s) tunnels with heavy traffic • Fact: spacing between vehicles increases as their speed increases. If drivers are encouraged to drive faster in an attempt to get more through a tunnel per hour, the increased spacing will have the opposite effect.
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3 Computational Solid Mechanics and Design Lab. D : average spacing between vehicles S : average speed C : vehicles per hour C S D dC dS = = - = - = - = - = \ = = = = 0 324 42 1 0 324 42 1 130 0 3 1 130 0 6 2 0 21 mph 1363 25 mph 1313 (3.7% 2 . . , . . . . . . : criterion function ex) loss) ex) Traffic control (continued)
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4 Computational Solid Mechanics and Design Lab. Constraints
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2010-Engineering_Design-4-1 - 1 Optimization Techniques Why...

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