TRAVEL TIMES THROUGH SHOCK WAVES

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 06, 1962
Accession Number
AD0283782

Entities

People

  • Robert M. Oliver

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Business Administration
  • California
  • Differential Equations
  • Equations
  • Flow Rate
  • Government Procurement
  • High Density
  • Integral Equations
  • Low Density
  • Mathematics
  • Navy
  • New Jersey
  • New York
  • Operations Research
  • Shock Waves
  • Travel Time
  • United States

Readers

  • Aviation Safety and Air Traffic Management
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics