Modeling traffic flow interrupted by incidents

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 comple...

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Veröffentlicht in:European journal of operational research 2009-05, Vol.195 (1), p.127-138
Hauptverfasser: Baykal-Gürsoy, M., Xiao, W., Ozbay, K.
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container_title European journal of operational research
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creator Baykal-Gürsoy, M.
Xiao, W.
Ozbay, K.
description 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.
doi_str_mv 10.1016/j.ejor.2008.01.024
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source RePEc; Elsevier ScienceDirect Journals
subjects Applied probability
Applied probability Queueing Markov modulated
Applied sciences
Approximation
Computer simulation
Exact sciences and technology
Ground, air and sea transportation, marine construction
Markov modulated
Operational research and scientific management
Operational research. Management science
Queueing
Queuing theory
Queuing theory. Traffic theory
Road transportation and traffic
Studies
Traffic flow
Validity
title Modeling traffic flow interrupted by incidents
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