A Strategic User Equilibrium Model Incorporating Both Demand and Capacity 2 Uncertainty
نویسندگان
چکیده
1 In this paper, we present an extension of a novel equilibrium based assignment model 2 originally proposed by Dixit et al (2013), which addresses day-to-day volatility in travel 3 conditions resulting from short-term demand uncertainty, by incorporating the impact of 4 capacity uncertainty. Specifically, the demand and capacity variability are represented 5 independently using assumed known distributions. The proposed model is based on the 6 premise that users gain knowledge of the demand and capacity distributions through their 7 past travel experience. Using this knowledge, users seek to minimize their expected travel 8 time and choose a strategy (i.e., travel route) accordingly. They then follow this strategy day9 to-day, independent of the realized traffic demand and capacity. The network may therefore 10 result in non-equilibrium assignment patterns, which is consistent with the lack of observed 11 equilibrium in field networks. The model is mathematically formulated, expressions for the 12 analytical link travel times and corresponding variability are derived and the uniqueness of 13 the assignment solution regarding link flows is proven. Numerical analysis is conducted to 14 demonstrate the performance and reliability of the model by comparing the analytical results 15 with simulation based assignment. 16 17
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تاریخ انتشار 2013