收费机制下随机需求UE-CN混合交通均衡分配的效率损失
Efficiency Loss of UE-CN Mixed Traffic Equilibrium Assignment with Stochastic Demand under Charging Mechanism
摘要: 基于交通网络中出行者路径决策原则的异质性，分析由user equilibrium (UE)用户和Cournot-Nash (CN)用户所组成的UE-CN混合交通均衡分配在收费机制下的效率损失问题。构建了收费机制下随机需求该类混合均衡分配的变分不等式模型，分别运用非线性规划法和解析推导法得到路段出行成本为单项式函数时的效率损失上界表达式。研究结果表明，解析推导法下的效率损失上界依赖于路段出行成本函数次幂、路段收费，而非线性规划法下的效率损失上界不仅与路段出行成本函数次幂、路段收费有关，还与CN用户的数目相关。
Abstract: Based on the heterogeneity of traveler path decision-making principles in traffic network, the efficiency loss of UE-CN mixed traffic equilibrium assignment composed of user equilibrium (UE) user and Cournot-Nash (CN) users undercharging mechanism is analyzed. The variational inequality model of this kind of mixed equilibrium assignment of stochastic demand under the charging mechanism is constructed. The upper bound formula of efficiency loss when the road travel cost is a monomial function is obtained by using nonlinear programming method and analytical derivation method respectively. The results show that the upper bound of efficiency loss under analytical derivation method depends on the power of link travel cost function and link charge, while the upper bound of efficiency loss under nonlinear programming method is related not only to the power of link travel cost function and link charge, but also to the number of CN users.
文章引用：毛君竹, 顾重秀, 王才正, 尚美欣. 收费机制下随机需求UE-CN混合交通均衡分配的效率损失[J]. 应用数学进展, 2022, 11(4): 1683-1692. https://doi.org/10.12677/AAM.2022.114183

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