Modeling cost variability in a bottleneck model with degradable capacity

Abstract

Valuing travel time reliability is an important element of travel choice modeling. In this paper, we introduce the notion of variation cost in the utility function, capturing the variations in both queuing cost and scheduling cost endogenously under degradable capacity, and develop a theoretical framework to derive the departure choice. We then define the value of capacity reliability to be the marginal influence of capacity degradation on the overall system generalized cost. Through this framework, a single-step tolling scheme is proposed to reduce the queuing cost and cost variability. The study illustrates the combined impact of cost variability, capacity degradation, and how road pricing will impact on travelers' departure profile and the overall system generalized cost.

Keywords:

• Travel cost variability
• degradable capacity
• road pricing
• bottleneck model

Acknowledgments

The authors also gratefully acknowledge financial support from the National Science Foundation of China (No. 71890970, No. 71890974).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The study is supported by General Research Fund of the Research Grants Council of the HKSAR Government [grant number #16212819] and the Hong Kong PhD Fellowship. The financial support of this work was also supported by the National Science Foundation of China [grant numbers 71890970, 71890974].