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SYSTEM OPTIMUM FUZZY TRAFFIC ASSIGNMENT PROBLEM

机译：系统最佳模糊交通分配问题

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摘要

This paper focuses on converting the system optimum traffic assignment problem (SO-TAP) to system optimum fuzzy traffic assignment problem (SO-FTAP). The SO-TAP aims to minimize the total system travel time on road network between the specified origin and destination points. Link travel time is taken as a linear function of fuzzy link flow; thus each link travel time is constructed as a triangular fuzzy number. The objective function is expressed in terms of link flows and link travel times in a non-linear form while satisfying the flow conservation constraints. The parameters of the problem are path lengths, number of lanes, average speed of a vehicle, vehicle length, clearance, spacing link capacity and free flow travel time. Considering a road network, the path lengths and number of lanes are taken as crisp numbers. The average speed of a vehicle and vehicle length are imprecise in nature, so these are taken as triangular fuzzy numbers. Since the remaining parameters, that are clearance, spacing, link capacity and free flow travel time are determined by the average speed of a vehicle and vehicle length, they will be triangular fuzzy numbers. Finally, the original SO-TAP is converted to a fuzzy quadratic programming (FQP) problem, and it is solved using an existing approach from literature. A numerical experiment is illustrated.
机译：本文着重于将系统最优交通分配问题（SO-TAP）转换为系统最优模糊交通分配问题（SO-FTAP）。 SO-TAP旨在最大程度减少指定起点和终点之间道路网络上的系统总行驶时间。链接行程时间被视为模糊链接流的线性函数；因此，每个链接的旅行时间被构造为一个三角形的模糊数。目标函数以链节流量和链节行程时间以非线性形式表示，同时满足流量守恒约束。问题的参数是路径长度，车道数，车辆的平均速度，车辆长度，间隙，间距链接能力和自由流动时间。考虑到道路网络，将路径长度和车道数量视为清晰数字。车辆的平均速度和车辆长度本质上是不精确的，因此将它们视为三角模糊数。由于其余参数（例如间隙，间距，链节容量和自由流动行程时间）由车辆的平均速度和车辆长度确定，因此它们将是三角模糊数。最后，将原始的SO-TAP转换为模糊二次规划（FQP）问题，并使用文献中的现有方法对其进行求解。说明了数值实验。

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