A Control Theoretic Approach to Simultaneously Estimate Average Value of Time and Determine Dynamic Price for High-occupancy Toll Lanes
<|reference_start|>A Control Theoretic Approach to Simultaneously Estimate Average Value of Time and Determine Dynamic Price for High-occupancy Toll Lanes: The dynamic pricing problem of a freeway corridor with high-occupancy toll (HOT) lanes was formulated and solved based on a point queue abstraction of the traffic system [Yin and Lou, 2009]. However, existing pricing strategies cannot guarantee that the closed-loop system converges to the optimal state, in which the HOT lanes' capacity is fully utilized but there is no queue on the HOT lanes, and a well-behaved estimation and control method is quite challenging and still elusive. This paper attempts to fill the gap by making three fundamental contributions: (i) to present a simpler formulation of the point queue model based on the new concept of residual capacity, (ii) to propose a simple feedback control theoretic approach to estimate the average value of time and calculate the dynamic price, and (iii) to analytically and numerically prove that the closed-loop system is stable and guaranteed to converge to the optimal state, in either Gaussian or exponential manners.<|reference_end|>
@article{wang2024a,
    title={A Control Theoretic Approach to Simultaneously Estimate Average Value of
  Time and Determine Dynamic Price for High-occupancy Toll Lanes},
    author={Xuting Wang and Wen-Long Jin and Yafeng Yin},
    journal={IEEE Trans. on ITS, 22(11):7293-7305, 2021},
    year={2024},
    doi={10.1109/TITS.2020.3007160},
    archivePrefix={arXiv},
    eprint={2408.15990},
    primaryClass={eess.SY cs.SY}
}