界定用户平衡及Logit型随机用户平衡下的混合平衡交通网络效率损失

考虑一个具有两类用户的交通网络,一类用户按照用户平衡原则选择出行路径,另一类用户按照Logit型随机用户平衡原则选择出行路径.建立了描述这种混合平衡出行行为的变分不等式模型,给出了满足此种混合平衡的交通网络效率损失上界,结果表明,效率损失上界与被研究的交通网络拓扑结构,交通需求及两类用户的划分比例系数有关.

Bounding the Efficiency Loss with Mixed Equilibrium Associated with User Equilibrium and Logit-Based Stochastic User Equilibrium in Transportation Network

In a transportation network with users classified into two categories, the first category chooses the route according to user equilibrium(UE)principle and the second category chooses the route according to Logit-based stochastic userequilibrium(LSUE)principle. In this paper, a variational inequality is proposed toformulate the mixed equilibrium travel behavior associated with user equilibrium and Logit-based stochastic userequilibrium. Likewise, the upper bound of efficiency loss for themixed equilibrium is described as a general formula. It is shown that the upper bound is related to thetopological structure of networks, transportation demand and the demandratio.