Book of Abstracts of 23rd BMSC
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چکیده
In order to overcome the limitations of the standard first or-der model of traffic flow (LWR model), various second ordermodels involving relaxation and/or anticipation terms wereintroduced in the literature. These models have the particu-larity to possess an equilibrium which can be unstable if cer-tain so-called subcharacteristic conditions are not satisfied.It can be shown that these conditions connect the character-istic velocities of the second order model to the character-istic velocity of the LWR model, and may be interpreted asa "competition" between the relaxation and the anticipationterm. The subcharacteristic conditions are also necessary toguarantee that the first order LWR model is a valid approx-imation of second order models. These stability subcharac-teristic conditions are often assumed to be naturally satisfiedalthough there is no a priori physical reason justifying suchan assertion. It is therefore of interest to analyse the systembehaviour, and namely the propagation and evolution of dis-turbances, when these conditions are not satisfied. The studyof these instabilities provide a possible interpretation of theemergence of jams and stop-and-go effects in traffic flow.Book of Abstracts23rd Benelux Meeting on Systems and Control
منابع مشابه
Abstracts of 23rd Iranian Nuclear Medicine Annual Congress, November 27-29, 2019, Tehran, Iran
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s From the 23rd Annual Health Care Systems Research Network Conference, March 21–23, 2017, San Diego, California Follow this and additional works at: http://digitalrepository.aurorahealthcare.org/jpcrr Part of the Cardiology Commons, Family Medicine Commons, Geriatrics Commons, Health and Medical Administration Commons, Health Information Technology Commons, Oncology Commons, Pediatrics Commons...
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تاریخ انتشار 2004