Abstract
This paper studies commuters' departure time choice behavior along a bottleneck constrained highway connecting a resident area and a workplace. Commuters are differentiated by their value of time, and the bottleneck capacity is assumed to follow a uniform distribution within a range. The equilibrium properties of the proposed model are derived and individual travel cost is obtained. It is found that at equilibrium, the increase of capacity variability would change the commuters' travel behavior by increasing the expected equivalent travel time and lengthening the peak period. Every commuter is better off by reducing the individual travel cost if the stochasticity of the capacity decrease, and commuters with high value of time benefit more than those with low values. Numerical results are presented to support analytic findings.
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