State‐dependent gap acceptance

Carl M. Harris

Naval Research Logistics Quarterly, 1976, vol. 23, issue 4, 653-662

Abstract: This paper considers a traffic problem in which vehicles queue up according to a Poisson process on a single‐lane entrance ramp prior to merging into a major stream of vehicular traffic. In order to then prevent the ramp queue from becoming too large, a model is proposed which considers a lowering of the critical gap as the ramp queue size increases. With the critical gap assumed to be a nonincreasing function of the number of vehicles on the ramp at instances that correspond to departure times of lead vehicles from the ramp queue, the resultant model is an M/G/1 queue with state‐dependent service times. Some general results are obtained for this model and a specific case discussed in moderate detail.

Date: 1976
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:23:y:1976:i:4:p:653-662

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