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A Stochastic User Equilibrium Assignment Model under Stochastic Demand and Supply Following Lognormal Distributions

机译：服从对数正态分布的随机需求和供给下的随机用户均衡分配模型

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To construct a traffic network that is resilient to natural and man-made disasters, it is necessary to assess the reliability of the network. This article proposes a stochastic user equilibrium assignment model under stochastic origin-destination (OD) demand and link capacity following lognormal distributions. The nonnegative property of the lognormal distribution makes it possible to assume any degraded state of links, including disruption or reduction of lane(s), by varying the stochastic link capacities. This model assigns the OD demand to a road network based on the stochastic user equilibrium principle. Thus, the model can compare the link (or path) flows and link (or path) travel costs in the normal state with those in the degraded state, and is formulated as a logit-based fixed-point problem. We conducted numerical experiments to compare the assigned flow and travel cost in the normal state with those in the degraded state.
机译：为了构建对自然和人为灾难具有弹性的交通网络，有必要评估网络的可靠性。本文提出了一种随机用户均衡分配模型，该模型基于对数正态分布遵循随机起源-目的地（OD）需求和链路容量。对数正态分布的非负属性使得可以通过更改随机链路容量来假定链路的任何降级状态，包括通道的中断或减少。该模型基于随机用户平衡原理将OD需求分配给道路网络。因此，该模型可以将正常状态下的链接（或路径）流量和退化状态下的链接（或路径）旅行成本进行比较，并将其公式化为基于对数的定点问题。我们进行了数值实验，以比较正常状态和退化状态下分配的流量和旅行成本。

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