We propose in this paper a novel activity-based bi-level mathematical model to study the interaction between one-way car-sharing services and travel demand as well as their impacts on a multi-modal network performance. At the upper level, car-sharing operators decide the price of service and the plan of relocating shared vehicles among the depots. At the lower level, driven by their own activities, the decision of travelers is made bases on the equilibrium choice of routes and associated transport modes that include private cars, public transport and shared cars. Furthermore, we develop a scalable link-based method that is capable of solving large-scale network with capacitated link flow. We show via numerical examples the impact of the one-way car-sharing services on both route choices and network performance, and demonstrate the significant improvements in the obtained solution both in terms of accuracy and computational complexity.
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