Variational inequality formulation of the system-optimal travel choice problem and efficient congestion tolls for a general transportation network with multiple time periods
This paper examines the problem of optimal congestion pricing for a general transportation network with multiple time periods. Traditional optimization formulations of a system-optimal travel choice problem are reviewed and their limitations are discussed. A variational inequality formulation of the...
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| Veröffentlicht in: | Regional science and urban economics 2002-09, Vol.32 (5), p.627-650 |
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| container_title | Regional science and urban economics |
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| creator | Liu, L.N. Boyce, David E. |
| description | This paper examines the problem of optimal congestion pricing for a general transportation network with multiple time periods. Traditional optimization formulations of a system-optimal travel choice problem are reviewed and their limitations are discussed. A variational inequality formulation of the system-optimal problem is presented and efficient congestion tolls are calculated. This formulation is a generalization of the traditional optimization formulation with the symmetry condition. A numerical example is provided to interpret further the relationship between the variational inequality and the optimization formulations. |
| doi_str_mv | 10.1016/S0166-0462(01)00095-3 |
| format | Article |
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Traditional optimization formulations of a system-optimal travel choice problem are reviewed and their limitations are discussed. A variational inequality formulation of the system-optimal problem is presented and efficient congestion tolls are calculated. This formulation is a generalization of the traditional optimization formulation with the symmetry condition. 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Traditional optimization formulations of a system-optimal travel choice problem are reviewed and their limitations are discussed. A variational inequality formulation of the system-optimal problem is presented and efficient congestion tolls are calculated. This formulation is a generalization of the traditional optimization formulation with the symmetry condition. A numerical example is provided to interpret further the relationship between the variational inequality and the optimization formulations.</description><subject>Congestion</subject><subject>Congestion pricing</subject><subject>Economic models</subject><subject>Economics</subject><subject>Inequality</subject><subject>Optimization</subject><subject>Public policy</subject><subject>Regional studies</subject><subject>Studies</subject><subject>Transportation</subject><subject>Transportation network</subject><subject>Travel</subject><subject>Urban studies</subject><subject>Variational inequality</subject><issn>0166-0462</issn><issn>1879-2308</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><recordid>eNqFUcuO1DAQjBBIDAufgGRxQHAI-JE4yQmh1fLSShxYcbUcpz3jxYmztjOr-Sj-kc4E7YELh25bclW1u6ooXjL6jlEm3__AJktaSf6GsreU0q4uxaNix9qmK7mg7eNi9wB5WjxL6RZBTHKxK37_1NHp7MKkPXET3C3au3wiNsRx8ecHEizJByDplDKMZZizGxGcoz6CJ-YQnAEyx9B7GImeBgLWOuNgysSEaQ_pLJKD92mVJZrsYYK4SUxpDjFvcybI9yH-IvcuHwhOz272QHAaykN0YUjPiydW-wQv_p4Xxc2nq5vLL-X1989fLz9el6bqqlzWta162QhGBRfQt2A6Y_uBatZIWTc9pYOsQNdWskr26ARtqgokl9xqGLi4KF5vsrjV3YILqNElA97rCcKSlOhYW3esQ-Crf4C3YYloZVJ8NV7IdlWrN5CJIaUIVs0RHYwnxahaA1TnANWajqJMnQNUAnnfNl6EGcwDCQAi7MEEdVRCC47thMUpXa8OC8l6xpK8UbKm6pBHFPuwiQHadnQQVVojMjC4CCarIbj_fOcP9d7Abg</recordid><startdate>20020901</startdate><enddate>20020901</enddate><creator>Liu, L.N.</creator><creator>Boyce, David E.</creator><general>Elsevier B.V</general><general>Elsevier</general><general>Elsevier Sequoia S.A</general><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8BJ</scope><scope>FQK</scope><scope>JBE</scope></search><sort><creationdate>20020901</creationdate><title>Variational inequality formulation of the system-optimal travel choice problem and efficient congestion tolls for a general transportation network with multiple time periods</title><author>Liu, L.N. ; Boyce, David E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c494t-55f4b67310323eb8ec9cfbd0a176657b00d64ea5f6146b0160744e6262faed23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Congestion</topic><topic>Congestion pricing</topic><topic>Economic models</topic><topic>Economics</topic><topic>Inequality</topic><topic>Optimization</topic><topic>Public policy</topic><topic>Regional studies</topic><topic>Studies</topic><topic>Transportation</topic><topic>Transportation network</topic><topic>Travel</topic><topic>Urban studies</topic><topic>Variational inequality</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, L.N.</creatorcontrib><creatorcontrib>Boyce, David E.</creatorcontrib><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>International Bibliography of the Social Sciences (IBSS)</collection><collection>International Bibliography of the Social Sciences</collection><collection>International Bibliography of the Social Sciences</collection><jtitle>Regional science and urban economics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, L.N.</au><au>Boyce, David E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Variational inequality formulation of the system-optimal travel choice problem and efficient congestion tolls for a general transportation network with multiple time periods</atitle><jtitle>Regional science and urban economics</jtitle><date>2002-09-01</date><risdate>2002</risdate><volume>32</volume><issue>5</issue><spage>627</spage><epage>650</epage><pages>627-650</pages><issn>0166-0462</issn><eissn>1879-2308</eissn><coden>RGUEA3</coden><abstract>This paper examines the problem of optimal congestion pricing for a general transportation network with multiple time periods. 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| ispartof | Regional science and urban economics, 2002-09, Vol.32 (5), p.627-650 |
| issn | 0166-0462 1879-2308 |
| language | eng |
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| source | RePEc; Access via ScienceDirect (Elsevier) |
| subjects | Congestion Congestion pricing Economic models Economics Inequality Optimization Public policy Regional studies Studies Transportation Transportation network Travel Urban studies Variational inequality |
| title | Variational inequality formulation of the system-optimal travel choice problem and efficient congestion tolls for a general transportation network with multiple time periods |
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