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State‐dependent gap acceptance

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  • Carl M. Harris

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.

Suggested Citation

  • Carl M. Harris, 1976. "State‐dependent gap acceptance," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(4), pages 653-662, December.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:4:p:653-662
    DOI: 10.1002/nav.3800230410
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