Deriving Link Travel-Time Distributions via Stochastic Speed Processes

Jeffrey P. Kharoufeh () and Natarajan Gautam ()
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Jeffrey P. Kharoufeh: Department of Operational Sciences, Air Force Institute of Technology, AFIT/ENS, 2950 Hobson Way, Wright-Patterson AFB, Ohio 45433-7765
Natarajan Gautam: Harold and Inge Marcus Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, 310 Leonhard Building, University Park, Pennsylvania 16802

Transportation Science, 2004, vol. 38, issue 1, 97-106

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.

Keywords: highway link; travel time; stochastic processes; Markov chain (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:38:y:2004:i:1:p:97-106

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