Highway Merging Problem with Acceleration Area

Hisashi Mine and Takeshi Mimura
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Hisashi Mine: Kyoto University, Kyoto, Japan
Takeshi Mimura: Kyoto University, Kyoto, Japan

Transportation Science, 1969, vol. 3, issue 3, 205-213

Abstract: We study the highway merging problem with acceleration area. We suppose there is an acceleration area beside a highway and that a vehicle which arrives at an entrance from a rampway waits for a chance to merge as it accelerates on the acceleration area. The velocity of the merging vehicle at time t is a known function v ( t ), where the time origin is the moment when the merging vehicle arrives at the entrance. We derive the probability density function of the delay to the merging vehicle, i.e., the time between its arrival at the entrance and the moment it merges into the highway. We also discuss a property of the probability density function of the delay.

Date: 1969
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:3:y:1969:i:3:p:205-213

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