Optimal capacity allocation for heavy-traffic fixed-cycle traffic-light queues and intersections

Setting traffic light signals is a classical topic in engineering, and important heavy-traffic conditions when green times become scarce longer queues are inevitably formed. For the fixed-cycle traffic-light queue, an elementary queueing model for one with cyclic signaling, we obtain limits that capture long-term queue behavior. We leverage limit theorems to sharp performance approximations heavy traffic. also consider optimization problems aim optimal division of among multiple conflicting streams. show inserting leads tractable close-to-optimal signal prescriptions.