Modeling traffic flow interrupted by incidents

M. Baykal-Gürsoy, W. Xiao, K. Ozbay

Research output: Contribution to journalArticlepeer-review

74 Scopus citations


A steady-state M/M/c queueing system under batch service interruptions is introduced to model the traffic flow on a roadway link subject to incidents. When a traffic incident happens, either all lanes or part of a lane is closed to the traffic. As such, we model these interruptions either as complete service disruptions where none of the servers work or partial failures where servers work at a reduced service rate. We analyze this system in steady-state and present a scheme to obtain the stationary number of vehicles on a link. For those links with large c values, the closed-form solution of M/M/∞ queues under batch service interruptions can be used as an approximation. We present simulation results that show the validity of the queueing models in the computation of average travel times.

Original languageEnglish (US)
Pages (from-to)127-138
Number of pages12
JournalEuropean Journal of Operational Research
Issue number1
StatePublished - May 16 2009

All Science Journal Classification (ASJC) codes

  • Information Systems and Management
  • Computer Science(all)
  • Modeling and Simulation
  • Management Science and Operations Research


  • Applied probability
  • Markov modulated
  • Queueing


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