{"ID":5551660,"CreatedAt":"2026-07-02T01:54:51.863792489Z","UpdatedAt":"2026-07-04T13:37:00.247962456Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.00944","arxiv_id":"2607.00944","title":"Influence of Routing and Speed Limits on Optimal Solutions in Traffic Emission Modeling","abstract":"We investigate the influence of routing strategies and speed limit policies on optimal solutions in traffic emission models. Building on a first-order macroscopic traffic model coupled with an advection-diffusion model, we formulate single- and multi-objective optimization problems to simultaneously maximize traffic efficiency and minimize air pollution. We compare three control scenarios: optimizing only the routing strategy, optimizing only the speed limit policy, and optimizing both simultaneously. Numerical experiments on a small road network demonstrate that speed limit policies consistently achieve larger reductions in emissions and greater gains in traffic efficiency than routing strategies. Multi-objective optimization reveals the trade-off between the two goals and confirms that including speed limits in the control set yields Pareto-optimal solutions that are strictly superior to those obtained by routing control only. Our results provide quantitative guidance for traffic management seeking to balance mobility and environmental objectives.","short_abstract":"We investigate the influence of routing strategies and speed limit policies on optimal solutions in traffic emission models. Building on a first-order macroscopic traffic model coupled with an advection-diffusion model, we formulate single- and multi-objective optimization problems to simultaneously maximize traffic ef...","url_abs":"https://arxiv.org/abs/2607.00944","url_pdf":"https://arxiv.org/pdf/2607.00944v1","authors":"[\"Marc-André Bach\",\"Simone Göttlich\",\"Alena Ulke\"]","published":"2026-07-01T13:44:19Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"math.AP\"]","methods":"[\"Diffusion Model\"]","has_code":false}