TRAVEL TIMES THROUGH SHOCK WAVES
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
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Two equations to relate velocity, density, flow rate, and travel time in a traffic stream are used. One is the familiar equation of continuity, the second is an integral equation expressing the conservation of fluid in terms of travel times in the fluid. A situation is investigated where time-dependent flow rates into a bottleneck temporarily exceed its capacity. Expressions are found for queue sizes, the location and velocity of shock waves, and delays to travellers in the stream.
- Fluid Mechanics