2021
DOI: 10.48550/arxiv.2104.04303
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Optimal capacity allocation for heavy-traffic fixed-cycle traffic-light queues and intersections

Abstract: Setting traffic light signals is a classical topic in traffic engineering, and important in heavytraffic conditions when green times become scarce and longer queues are inevitably formed. For the fixed-cycle traffic-light queue, an elementary queueing model for one traffic light with cyclic signaling, we obtain heavy-traffic limits that capture the long-term queue behavior. We leverage the limit theorems to obtain sharp performance approximations for one queue in heavy traffic. We also consider optimization pr… Show more

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“…Boxma and Cohen apply the transform method to an extended form of Pollaczek's integral (3) to identify the heavy-traffic limit. Other studies that apply this transform method for heavytraffic analysis are [21,22] on the GI/G/s queue and [5,4] on the fixed-cycle traffic-light queue, a variation of the GI/G/1 queue.…”
Section: Introduction and Resultsmentioning
confidence: 99%
“…Boxma and Cohen apply the transform method to an extended form of Pollaczek's integral (3) to identify the heavy-traffic limit. Other studies that apply this transform method for heavytraffic analysis are [21,22] on the GI/G/s queue and [5,4] on the fixed-cycle traffic-light queue, a variation of the GI/G/1 queue.…”
Section: Introduction and Resultsmentioning
confidence: 99%