Date of Award


Publication Type

Master Thesis

Degree Name



Mechanical, Automotive, and Materials Engineering

First Advisor

Guo, Xiaolei

Second Advisor

Zhang, Guoqing


congestion pricing, road bottleneck, system cost optimization, value of time




We study the morning commute problem with a peak period flat toll, where the toll has a maximum acceptable toll level and a maximum acceptable length of tolling period. Under such a constrained optimization setup, we investigate the system cost minimization problem. A tolling scheme is determined by the toll starting time, the toll ending time, and the toll level. The toll starting time and ending time are set before and after the common work start time, respectively. We find out that, under the toll window length constraint only, a balanced toll window design is always optimal, where “balanced” means that the part of the toll window before the work start time and the part after have equal monetary value. Under both the toll level and the toll window length constraints, the balanced design is optimal if feasible; otherwise the toll should start later with the same toll window length.