摘要
针对公路收费系统与车辆等待服务之间相互矛盾的费用关系,合理地设计和控制公路收费系统,分析收费系统中的最优服务率,建立排队模型,并推导最优服务率的高解方程式。利用MATLAB拟合函数曲线图,估计初始值,采用Netwon迭代法求出方程最优解,即收费系统的最优服务率,从而解决公路收费系统费用与车辆等待服务费用之间的矛盾,使收费系统的费用与车辆等待服务所消耗的费用之和达到最小。结合实例讨论在M/M/1/∞/∞/FCFS队列中最经济合理的服务效率,结果表明该方法实践性较强且精确度较高。
Aiming at contradictory expense relationship between highway charging system and vehicle waiting services, reasonably design and control highway charging system, analyze optimum service rate in charging system, establish queuing model and infer equation of higher degree for optimum service rate. Estimate the initial value by hicle waiting service so as to minimum the sum consumed. Combining with the practice, discuss the most economic and reasonable service rate in queue of M/M/1/∞/∞/FCFS. The result shows that the practicality of this method is strong and the accuracy is high.
出处
《北方交通》
2012年第6期209-211,共3页
Northern Communications
关键词
公路收费系统
排队论
优化问题
最优服务率
Highway charging system
Queuing theory
Optimization problem
Optimum service rate
