Mogens Fosgerau, Nikolaj Nielsen, Mads Paulsen, Thomas Kjær Rasmussen, Rui Yao
arXiv 12 Sep 2024 · Econometrics · publishedTransportation Research Part C Emerging Technologies (2026)
arXiv:2409.08347 · PDF · DOI · OpenAlex · Extracted main text
This paper develops a novel sensitivity analysis framework for the perturbed utility route choice (PURC) model and the accompanying stochastic traffic equilibrium model. We provide general results that determine the marginal change in link flows following a marginal change in link costs across the network in the cases of flow-independent and flow-dependent link costs. We derive analytical sensitivity expressions for the Jacobian of the individual optimal PURC flow and equilibrium link flows with respect to link cost parameters under mild differentiability assumptions. Numerical examples illustrate the robustness of our method, demonstrating its use for estimating equilibrium link flows after link cost shifts, identifying critical design parameters, and quantifying uncertainty in performance predictions. The findings have implications for network design, pricing strategies, and policy analysis in transportation planning and economics, providing a bridge between theoretical models and real-world applications.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Fosgerau, Mogens and Paulsen, Mads and Rasmussen, Thomas Kjær (2022) A perturbed utility route choice model self | 1.000 | 9 | 5 | 100% |
| 2 | Yao, Rui and Fosgerau, Mogens and Paulsen, M. and Rasmussen, T.K (2024) Perturbed utility stochastic traffic assignment self | 1.000 | 6 | 4 | 100% |
| 3 | Josefsson, Magnus and Patriksson, Michael (2007) Sensitivity analysis of separable traffic equilibrium equilibria with application to bilevel optimization in network design | 0.874 | 5 | 2 | 100% |
| 4 | Tobin, Roger L and Friesz, Terry L (1988) Sensitivity analysis for equilibrium network flow | 0.811 | 4 | 2 | 100% |
| 5 | Coste, Michel (1999) An introduction to o-minimal geometry | 0.737 | 5 | 2 | 60% |
| 6 | Van den Dries, Lou (1998) Tame topology and o-minimal structures | 0.737 | 4 | 2 | 75% |
| 7 | Fosgerau, Mogens and Łukawska, M. and Paulsen, M. and Rasmussen, T.K (2023) Bikeability and the induced demand for cycling self | 0.737 | 3 | 2 | 100% |
| 8 | Yang, Hai and Bell, Michael GH (1997) Traffic restraint, road pricing and network equilibrium | 0.737 | 3 | 2 | 100% |
| 9 | Golub, Gene H and Van Loan, Charles F (2013) Matrix computations | 0.585 | 3 | 1 | 100% |
| 10 | Patriksson, Michael (2004) Sensitivity Analysis of Traffic Equilibria | 0.585 | 3 | 1 | 100% |
Showing the top 10 of 53 scored citations.