为提高高速公路收费站的通行能力,针对收费站交通流的特性,用运筹理论优化了现有排队模型,给出了M/M/m系统中收费通道的最佳个数m的求法及每一个服务通道最佳服务率的计算方法。又基于交通流在平均到达率稳定而不可能恒定到达的情况,用排队理论分析建立了一种可变服务率的收费站排队模型,当队长超过规定值每增加h时,服务速度就提高μ,反之则降低μ,最后还对h的取值进行了最优化,使得模型更符合实际情况。
To improve traffic capacity of tollgates of a highway, according to the traffic itow characteristics, a tollgate model of standing in line has been set up and optimized, which describes the most suitable number m of the tollgates in the model and the optimal service capacity for each tollgate. Because the average arrival of the traffic flow is stable but not permanent, a various service speed model is established in this paper. service speed will quicken one μ with the waiting length surpass a stipulated number every h, on the contrary, service speed will slow down one μ. At last h is optimized which makes it more fitting to the reality.