REGULATION OF THE BIMODAL TRAFFIC


== Abstract ==

International audience; We consider an urban network with two traffic modes. We control the traffic lights in order to free the roads used by the public transport vehicles. To do this, we solve a flow assignement problem, from which we deduce an ideal distribution of private vehicles. Then using traffic lights, we design a regulator maintaining the car distributions in the roads around the ideal trajectory. This regulator is obtained by solving a linear quadratic problem. The result is a global feedback on the car numbers in the roads. We show the robustness of the obtained control. We compare the obtained results with those given by Bhouri and Lotito (2005).


== Original document ==

The different versions of the original document can be found in:

* [https://hal.archives-ouvertes.fr/hal-01473659/file/2006_gretia_farhi_bhouri_lolito_regulation_bimodal_traffic_P.pdf https://hal.archives-ouvertes.fr/hal-01473659/file/2006_gretia_farhi_bhouri_lolito_regulation_bimodal_traffic_P.pdf]

* [https://api.elsevier.com/content/article/PII:S1474667015336260?httpAccept=text/xml https://api.elsevier.com/content/article/PII:S1474667015336260?httpAccept=text/xml],
: [https://api.elsevier.com/content/article/PII:S1474667015336260?httpAccept=text/plain https://api.elsevier.com/content/article/PII:S1474667015336260?httpAccept=text/plain],
: [http://dx.doi.org/10.3182/20060829-3-nl-2908.00041 http://dx.doi.org/10.3182/20060829-3-nl-2908.00041] under the license https://www.elsevier.com/tdm/userlicense/1.0/

* [https://hal.archives-ouvertes.fr/hal-01473659 https://hal.archives-ouvertes.fr/hal-01473659],
: [https://hal.archives-ouvertes.fr/hal-01473659/document https://hal.archives-ouvertes.fr/hal-01473659/document],
: [https://hal.archives-ouvertes.fr/hal-01473659/file/2006_gretia_farhi_bhouri_lolito_regulation_bimodal_traffic_P.pdf https://hal.archives-ouvertes.fr/hal-01473659/file/2006_gretia_farhi_bhouri_lolito_regulation_bimodal_traffic_P.pdf]

* [https://www.sciencedirect.com/science/article/pii/S1474667015336260 https://www.sciencedirect.com/science/article/pii/S1474667015336260],
: [https://hal.archives-ouvertes.fr/hal-01473659 https://hal.archives-ouvertes.fr/hal-01473659],
: [https://hal.archives-ouvertes.fr/hal-01473659/document https://hal.archives-ouvertes.fr/hal-01473659/document],
: [https://academic.microsoft.com/#/detail/2087956956 https://academic.microsoft.com/#/detail/2087956956]