A Fluid Queueing Model for Link Travel Time Moments

Jeffrey P. Kharoufeh, Natarajan Gautam

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)242-257
Number of pages16
JournalNaval Research Logistics
Issue number2
StatePublished - Mar 2004
Externally publishedYes


  • Link travel time
  • Random environment
  • Stochastic modeling

ASJC Scopus subject areas

  • Modeling and Simulation
  • Ocean Engineering
  • Management Science and Operations Research


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