| 最优服务率在公路收费系统中的应用 |
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| 引用本文： | 李辉,吴冰花.最优服务率在公路收费系统中的应用[J].北方交通,2012(6):209-211. |
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| 作者姓名： | 李辉 吴冰花 |
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| 作者单位： | 河南城建学院交通工程系,平顶山,467044 |
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| 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。
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| 关 键 词： | 公路收费系统 排队论 优化问题 最优服务率 |
Application of Optimum Service Rate in Highway Charging System |
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| Abstract: | 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 utilizing MATLAB fitting function curve graph,adopt Netwon iterative method to solve the equation,i.e.optimum service rate in charging system,thus solving the contradiction of expenses between highway charging system and vehicle 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. |
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| Keywords: | Highway charging system Queuing theory Optimization problem Optimum service rate |
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