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 |
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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 |
format | Article |
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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
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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.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.ejor.2008.01.024</doi><tpages>12</tpages></addata></record> |
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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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