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首页> 外文期刊>EURO journal of transportation and logistics >Uniqueness of stochastic user equilibrium with asymmetric volume-delay functions for merging and diversion
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Uniqueness of stochastic user equilibrium with asymmetric volume-delay functions for merging and diversion

机译：具有用于合并和转移的不对称体积延迟函数的随机用户平衡的唯一性

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The main aim of this paper is to show how a new type of sufficient conditions can be used to prove uniqueness of a SUE model with non-separable arc cost-flow functions, even when their Jacobian is asymmetric and non-positive semi-definite. This apparently unusual setup for an assignment model permits to improve the representation of congestion in urban networks. Indeed, the supply models allowed by the standard uniqueness conditions, such as the monotonicity of separable cost-flow functions, can lack realism and thus may lead to wrong decision in the planning process. Actually, the main source of delay suffered by drivers when links are short is intersections, where vehicle flows conflict, competing to use the capacity of links ahead (merging), or are held back by other vehicles that are queuing (diversion). These traffic phenomena do not either lead to separable functions, or to symmetric Jacobians. A suitable supply model is then proposed to which the extended sufficient conditions are applied, showing that the uniqueness of the stochastic equilibrium can be proved also for more realistic volume-delay functions derived from traffic flow theory.
机译：本文的主要目的是说明如何使用一种新型的充分条件证明具有不可分离弧成本流函数的SUE模型的唯一性，即使它们的Jacobian不对称且非正半确定性。分配模型的这种明显不同寻常的设置允许改进城市网络中拥塞的表示。实际上，标准唯一性条件所允许的供应模型（例如可分离的成本流函数的单调性）可能缺乏现实性，因此可能导致规划过程中的错误决策。实际上，当链接短时，驾驶员遭受延误的主要来源是交叉路口，那里的车辆流量发生冲突，竞争使用前方链接的容量（合并），或被正在排队的其他车辆阻挡（改道）。这些交通现象既不会导致功能分离，也不会导致对称的雅可比行列式。然后提出了一个适用的供应模型，对其应用了扩展的充分条件，这表明随机均衡的唯一性也可以证明，这对于从交通流理论推导的更现实的体积-延迟函数而言。

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