Ban, Xuegang (Jeff) Risk neutral second best toll pricing. University Transportation Centers Program (U.S.), 2011, ROSA P. https://rosap.ntl.bts.gov/view/dot/25795.
We propose a risk-neutral second best toll pricing scheme to account for the possible no uniqueness
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of user equilibrium solutions. The scheme is designed to optimize for the expected objective value
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as the UE solution varies within the solution set. We show that such a risk-neutral scheme can be
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formulated as a stochastic program, which complements the traditional risk-prone second best toll
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pricing (SBTP) approach and the risk-averse SBTP approach we developed recently. The proposed
;
model can be solved by a simulation-based optimization algorithm that contains three major steps:
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characterization of the UE solution set, random sampling over the solution set, and a two-phase
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simulation optimization step. Numerical results illustrate that the proposed risk-neutral design
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scheme is less aggressive than the risk-prone scheme and less conservative than the risk-averse
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scheme, and may thus be more preferable from a toll designer's point of view.
Ban, Xuegang (Jeff) Risk neutral second best toll pricing. University Transportation Centers Program (U.S.), 2011, ROSA P. https://rosap.ntl.bts.gov/view/dot/25795.
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