A Fluid Queueing Model for Link Travel Time Moments

Abstract

We analyze the moments of the random time required for a vehicle to traverse a transportation network link of arbitrary length when its speed is governed by a random environment. The problem is motivated by stochastic transportation network applications in which the estimation of travel time moments is of great importance. We analyze this random time in a transient and asymptotic sense by employing results from the field of fluid queues. The results are demonstrated on two example problems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA572201

Entities

People

  • Jeffrey P. Kharoufeh
  • Natarajan Gautam

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Differential Equations
  • Distribution Functions
  • Eigenvalues
  • Environment
  • Equations
  • Flow Network
  • Markov Chains
  • Markov Processes
  • Military Research
  • Partial Differential Equations
  • Probabilistic Models
  • Probability Distributions
  • Random Variables
  • Stochastic Processes
  • Transportation
  • Travel Time

Fields of Study

  • Biology
  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.