An estimation model of value of travel time and of travel time reliability in road networks

本研究基于避险驾驶员的路径选择行为，提出了两种同时估计出行时间价值和出行时间可靠性的网络模型。第一个模型被描述为单调可分路段行程时间下的效用最大化问题，而第二个模型被描述为非单调不可分路段行程时间下的效用最大化问题。结果表明，第一个模型是一个具有唯一解的优化问题，它涉及独立的随机容量。第二个模型同时考虑了随机的O-D流和随机链路容量，将其描述为一个非线性互补问题。本研究中提出的网络模型与基于效用最大化行为的旅行时间价值和旅行时间可靠性研究的网络模型是一致的。

This study proposes two network models which simultaneously estimate the value of travel time and of travel time reliability based on the risk-averse driver's route choice behaviour. The first model is formulated as a utility maximization problem under monotonic and separable link travel times, whereas the second model is formulated as a utility maximization problem under non-monotonic and non-separable link travel times. It is shown that the first model, which addresses independent stochastic capacity, is formulated as an optimization problem with a unique solution. The second model, which addresses both stochastic Origin-Destination (O-D) flow and stochastic link capacity, is formulated as a nonlinear complementary problem. The network models proposed in this study are consistent with those of studies that address the value of travel time and of travel time reliability based on utility maximization behaviour.