Exact Solutions and Flow-Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect
A set of exact solutions for a cellular automaton, which is a hybrid of the optimal velocity and the slow-to-start models, is presented. The solutions allow coexistence of free flows and jamming or slow clusters, which is observed in asymptotic behaviors of numerically obtained spatio-temporal patte...
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| Veröffentlicht in: | Journal of the Physical Society of Japan 2012-12, Vol.81 (12), p.1-1 |
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| container_title | Journal of the Physical Society of Japan |
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| creator | Ujino, Hideaki Yajima, Tetsu |
| description | A set of exact solutions for a cellular automaton, which is a hybrid of the optimal velocity and the slow-to-start models, is presented. The solutions allow coexistence of free flows and jamming or slow clusters, which is observed in asymptotic behaviors of numerically obtained spatio-temporal patterns. An exact expression of the flow-density relation given by the exact solutions of the model agrees with an empirical formula for numerically obtained flow-density relations. |
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The solutions allow coexistence of free flows and jamming or slow clusters, which is observed in asymptotic behaviors of numerically obtained spatio-temporal patterns. 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An exact expression of the flow-density relation given by the exact solutions of the model agrees with an empirical formula for numerically obtained flow-density relations.</description><subject>Asymptotic methods</subject><subject>Asymptotic properties</subject><subject>Automation</subject><subject>Cellular</subject><subject>Cellular automata</subject><subject>Clusters</subject><subject>Density</subject><subject>Exact solutions</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Numerical analysis</subject><subject>Optimization</subject><subject>Physics</subject><subject>Velocity</subject><issn>0031-9015</issn><issn>1347-4073</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNpdj81KAzEUhQdRsFbfIeDGTeDmZzLpstRWhUrBkW6H20xCp6STOslQfQJf26l15eoszsfHORfZiAlZUAmFuMxGAILRCbD8OruJcQfAc8blKPuef6JJpAy-T01oI8G2JgsfjvTRtrFJX-TNejxXLnQEycx633vsyLRPYY8ptGSNXYNtIsGRtLVkdUjNHj1ZWx_MSfEaauvJsUnb37486VOgZcIukblz1qTb7Mqhj_buL8dZuZi_z57pcvX0Mpsu6UExTblziI7bmuNEFXyjuZSMidoCY0rWWnNuTZ6DUpKBBZfn9RB6A9I4DUaMs4ez9dCFj97GVO2baIZD2NrQx4oVwEBpDXpA7_-hu9B37bCtYkoLxrUuuPgBc3xsWA</recordid><startdate>20121201</startdate><enddate>20121201</enddate><creator>Ujino, Hideaki</creator><creator>Yajima, Tetsu</creator><general>The Physical Society of Japan</general><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20121201</creationdate><title>Exact Solutions and Flow-Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect</title><author>Ujino, Hideaki ; Yajima, Tetsu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p618-2ffaaf2ed2a9672b8244113de01164d8822ec55066410e0f55d0e08b04cf80c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Asymptotic methods</topic><topic>Asymptotic properties</topic><topic>Automation</topic><topic>Cellular</topic><topic>Cellular automata</topic><topic>Clusters</topic><topic>Density</topic><topic>Exact solutions</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Numerical analysis</topic><topic>Optimization</topic><topic>Physics</topic><topic>Velocity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ujino, Hideaki</creatorcontrib><creatorcontrib>Yajima, Tetsu</creatorcontrib><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of the Physical Society of Japan</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ujino, Hideaki</au><au>Yajima, Tetsu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact Solutions and Flow-Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect</atitle><jtitle>Journal of the Physical Society of Japan</jtitle><date>2012-12-01</date><risdate>2012</risdate><volume>81</volume><issue>12</issue><spage>1</spage><epage>1</epage><pages>1-1</pages><issn>0031-9015</issn><eissn>1347-4073</eissn><abstract>A set of exact solutions for a cellular automaton, which is a hybrid of the optimal velocity and the slow-to-start models, is presented. The solutions allow coexistence of free flows and jamming or slow clusters, which is observed in asymptotic behaviors of numerically obtained spatio-temporal patterns. An exact expression of the flow-density relation given by the exact solutions of the model agrees with an empirical formula for numerically obtained flow-density relations.</abstract><cop>Tokyo</cop><pub>The Physical Society of Japan</pub><tpages>1</tpages></addata></record> |
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| issn | 0031-9015 1347-4073 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | Asymptotic methods Asymptotic properties Automation Cellular Cellular automata Clusters Density Exact solutions Mathematical analysis Mathematical models Numerical analysis Optimization Physics Velocity |
| title | Exact Solutions and Flow-Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect |
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