Abstract Setting traffic light signals is a classical topic in traffic engineering, and important in heavy-traffic 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 problems that aim for optimal division of green times among multiple conflicting traffic streams. We show that inserting heavy-traffic approximations leads to tractable optimization problems and close-to-optimal signal prescriptions.
Highlights Heavy-traffic analysis of long-term queueing behavior of fixed-cycle traffic lights. Special limiting regime with high load and non-zero delay probability. Sharp performance approximations for one traffic queue in heavy traffic. Easy prescription of close-to-optimal green times for conflicting traffic flows.
Optimal capacity allocation for heavy-traffic fixed-cycle traffic-light queues and intersections
Transportation Research Part B: Methodological ; 167 ; 79-98
2022-11-18
20 pages
Article (Journal)
Electronic Resource
English
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