An extended continuum mixed traffic model
With the development of vehicle technology, the number of vehicles equipped with the adaptive cruise control (ACC) system is increasing, and it is more and more common for ACC vehicles to drive with regular vehicles. In this work, we proposed a mixed traffic model with regular vehicles and ACC vehic...
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| Veröffentlicht in: | Nonlinear dynamics 2021, Vol.103 (2), p.1891-1909 |
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| container_title | Nonlinear dynamics |
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| creator | Zhang, Yicai Zhao, Min Sun, Dihua Dong, Chen |
| description | With the development of vehicle technology, the number of vehicles equipped with the adaptive cruise control (ACC) system is increasing, and it is more and more common for ACC vehicles to drive with regular vehicles. In this work, we proposed a mixed traffic model with regular vehicles and ACC vehicles via the transformation of micro-model and macro-model. The linear stability analysis tells that the permeability of ACC vehicles has an important influence on the traffic system. Meanwhile, through the nonlinear analysis, the KdV–Burgers equation describing the density wave is obtained. Besides, the results of numerical simulations are consistent with the theory, which indicates that the increase in ACC vehicles is conducive to the stability of the transportation system. |
| doi_str_mv | 10.1007/s11071-021-06201-z |
| format | Article |
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In this work, we proposed a mixed traffic model with regular vehicles and ACC vehicles via the transformation of micro-model and macro-model. The linear stability analysis tells that the permeability of ACC vehicles has an important influence on the traffic system. Meanwhile, through the nonlinear analysis, the KdV–Burgers equation describing the density wave is obtained. 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Besides, the results of numerical simulations are consistent with the theory, which indicates that the increase in ACC vehicles is conducive to the stability of the transportation system.</description><subject>Adaptive control</subject><subject>Automotive Engineering</subject><subject>Burgers equation</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Cruise control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Mechanical Engineering</subject><subject>Nonlinear analysis</subject><subject>Original Paper</subject><subject>Stability analysis</subject><subject>Traffic models</subject><subject>Transportation systems</subject><subject>Vehicles</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9UEtLxDAQDqJgrf4BTwVPHqKTSZs0x2XxBQteFPYWah7SZduuSQvr_nqjFbwJMwwD34uPkEsGNwxA3kbGQDIKmFYgMHo4IhmrJKco1PqYZKCwpKBgfUrOYtwAAEeoM3K96Au3H11vnS3M0I9tP01d0bX79I-h8b41RTdYtz0nJ77ZRnfxe3Pyen_3snykq-eHp-ViRQ1naqTCCFmJkjeNUgbRG_C1ErKupUWQpTWGVZ5JLxiYFNcKl_CVVRUqC-jeeE6uZt1dGD4mF0e9GabQJ0uNpRJYlzxNTnBGmTDEGJzXu9B2TfjUDPR3JXquRCcP_VOJPiQSn0kxgft3F_6k_2F9AaarYoo</recordid><startdate>2021</startdate><enddate>2021</enddate><creator>Zhang, Yicai</creator><creator>Zhao, Min</creator><creator>Sun, Dihua</creator><creator>Dong, Chen</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>2021</creationdate><title>An extended continuum mixed traffic model</title><author>Zhang, Yicai ; Zhao, Min ; Sun, Dihua ; Dong, Chen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-6c675643aa99c22fc0f8967887d2074dcc15f17f610c021d6e6755d9529d02eb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Adaptive control</topic><topic>Automotive Engineering</topic><topic>Burgers equation</topic><topic>Classical Mechanics</topic><topic>Control</topic><topic>Cruise control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Mechanical Engineering</topic><topic>Nonlinear analysis</topic><topic>Original Paper</topic><topic>Stability analysis</topic><topic>Traffic models</topic><topic>Transportation systems</topic><topic>Vehicles</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Yicai</creatorcontrib><creatorcontrib>Zhao, Min</creatorcontrib><creatorcontrib>Sun, Dihua</creatorcontrib><creatorcontrib>Dong, Chen</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Yicai</au><au>Zhao, Min</au><au>Sun, Dihua</au><au>Dong, Chen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An extended continuum mixed traffic model</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2021</date><risdate>2021</risdate><volume>103</volume><issue>2</issue><spage>1891</spage><epage>1909</epage><pages>1891-1909</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>With the development of vehicle technology, the number of vehicles equipped with the adaptive cruise control (ACC) system is increasing, and it is more and more common for ACC vehicles to drive with regular vehicles. 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| ispartof | Nonlinear dynamics, 2021, Vol.103 (2), p.1891-1909 |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Adaptive control Automotive Engineering Burgers equation Classical Mechanics Control Cruise control Dynamical Systems Engineering Mechanical Engineering Nonlinear analysis Original Paper Stability analysis Traffic models Transportation systems Vehicles Vibration |
| title | An extended continuum mixed traffic model |
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