Optimal capacity allocation for heavy-traffic fixed-cycle traffic-light queues and intersections
研究了重交通条件下固定周期交通灯队列的长期行为,利用极限定理获得性能近似,并优化多冲突车流间的绿灯时间分配,得到接近最优的信号方案。
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.