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First-best marginal cost toll for a traffic network with stochastic demand

机译:需求随机的交通网络的第一高边际成本通行费

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First-best marginal cost pricing (MCP) in traffic networks has been extensively studied with the assumption of deterministic travel demand. However, this assumption may not be realistic as a transportation network is exposed to various uncertainties. This paper investigates MCP in a traffic network under stochastic travel demand. Cases of both fixed and elastic demand are considered. In the fixed demand case, travel demand is represented as a random variable, whereas in the elastic demand case, a pre-specified random variable is introduced into the demand function. The paper also considers a set of assumptions of traveler behavior. In the first case, it is assumed that the traveler considers only the mean travel time in the route choice decision (risk-neutral behavior), and in the second, both the mean and the variance of travel time are introduced into the route choice model (risk-averse behavior). A closed-form formulation of the true marginal cost toll for the stochastic network (SN-MCP) is derived from the variational inequality conditions of the system optimum and user equilibrium assignments. The key finding is that the calculation of the SN-MCP model cannot be made by simply substituting related terms in the original MCP model by their expected values. The paper provides a general function of SN-MCP and derives the closed-form SN-MCP formulation for specific cases with lognormal and normal stochastic travel demand. Four numerical examples are explored to compare network performance under the SN-MCP and other toll regimes.
机译:在确定性旅行需求的假设下,对交通网络中的最佳边际成本定价(MCP)进行了广泛的研究。但是,由于运输网络面临各种不确定性,因此这种假设可能并不现实。本文研究了随机旅行需求下的交通网络中的MCP。考虑固定需求和弹性需求的情况。在固定需求情况下,旅行需求被表示为随机变量,而在弹性需求情况下,将预先指定的随机变量引入需求函数。本文还考虑了旅行者行为的一组假设。在第一种情况下,假设旅行者在路线选择决策中仅考虑平均旅行时间(风险中性行为),在第二种情况下,将旅行时间的均值和方差引入了路线选择模型(规避风险的行为)。随机网络(SN-MCP)真实边际成本通行费的封闭式公式是从系统最优分配和用户均衡分配的变分不等式条件得出的。关键发现是,无法通过简单地用其期望值替换原始MCP模型中的相关术语来进行SN-MCP模型的计算。本文提供了SN-MCP的一般功能,并推导了针对具有对数正态和正常随机旅行需求的特定情况的闭合形式SN-MCP公式。探索了四个数值示例,以比较SN-MCP和其他收费方式下的网络性能。

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