Pricing schemes in a public-private mixed transportation network were investigated. First, a first-best toll set was formulated using a set of linear constraints. Next, different pricing schemes were modeled with the linear toll constraints in order to obtain acceptable social benefit for the public and sustainable profit for private companies. Numerical examples were analyzed in a network with 9 nodes and 18 links, where two private firms invested the private roads. Six different cases were simulated and compared in the examples. The results show the models proposed are able to design reasonable toll schemes to satisfy both the public society and the private firms.
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