Abstract
We derive an analytical expression for the cumulative distribution function of travel time for a vehicle traversing a freeway link of arbitrary length. The vehicle's speed is assumed to be modulated by a random environment that can be modeled as a stochastic process. We first present a partial differential equation (PDE) describing the travel time distribution and obtain a solution in terms of Laplace transforms. Next, we present a numerical inversion algorithm to invert the transforms. The technique is demonstrated on two example problems. Numerical results indicate great promise for this approach to the link travel-time problem.
Original language | English (US) |
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Pages (from-to) | 97-106 |
Number of pages | 10 |
Journal | Transportation Science |
Volume | 38 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2004 |
Externally published | Yes |
Keywords
- Highway link
- Markov chain
- Stochastic processes
- Travel time
ASJC Scopus subject areas
- Civil and Structural Engineering
- Transportation