Optimization Model of the Highway Toll Plaza Traffic Capacity

The traffic capacity of the highway toll plaza is studied in this paper. This model is based on M/M/c and M/G/K queuing system. The process of the vehicles pass through the toll plaza can be divided into two parts: entering system and departing system. Considering the reality that the highway traffic flow increases year by year, two models are proposed in this paper: (a) Find out the optimal number of tollbooths which maximize the traffic capacity; (b) Divide the tollbooths into quick-path and normal-path tollbooths to improve the traffic capacity. The numerical experiments proved that the two models are efficient. AMS Subject Classification: 65Y05, 65Y10, 49J35, 90C25, 90C30, 68W10, 68W25