{"id":"https://openalex.org/W3193414962","doi":"https://doi.org/10.1109/access.2021.3104332","title":"Capacity Design and Pareto Improvement of Highway Toll Plaza in a Competitive Transport System","display_name":"Capacity Design and Pareto Improvement of Highway Toll Plaza in a Competitive Transport System","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3193414962","doi":"https://doi.org/10.1109/access.2021.3104332","mag":"3193414962"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3104332","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3104332","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09512075.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09512075.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101553344","display_name":"Yong Gui","orcid":"https://orcid.org/0000-0002-7531-216X"},"institutions":[{"id":"https://openalex.org/I228616957","display_name":"Inner Mongolia University of Finance and Economics","ror":"https://ror.org/02311bm93","country_code":"CN","type":"education","lineage":["https://openalex.org/I228616957"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gui Yong","raw_affiliation_strings":["School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China","Inner Mongolia Key Laboratory of Economic Data Analysis and Mining, Huhhot, China"],"raw_orcid":"https://orcid.org/0000-0002-7531-216X","affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China","institution_ids":["https://openalex.org/I228616957"]},{"raw_affiliation_string":"Inner Mongolia Key Laboratory of Economic Data Analysis and Mining, Huhhot, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054720173","display_name":"Jing Zhang","orcid":"https://orcid.org/0000-0003-0063-2000"},"institutions":[{"id":"https://openalex.org/I228616957","display_name":"Inner Mongolia University of Finance and Economics","ror":"https://ror.org/02311bm93","country_code":"CN","type":"education","lineage":["https://openalex.org/I228616957"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Zhang","raw_affiliation_strings":["School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China","institution_ids":["https://openalex.org/I228616957"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089028001","display_name":"Nuoer Su","orcid":null},"institutions":[{"id":"https://openalex.org/I228616957","display_name":"Inner Mongolia University of Finance and Economics","ror":"https://ror.org/02311bm93","country_code":"CN","type":"education","lineage":["https://openalex.org/I228616957"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nuoer Su","raw_affiliation_strings":["School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China","institution_ids":["https://openalex.org/I228616957"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048455249","display_name":"Xueke Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I228616957","display_name":"Inner Mongolia University of Finance and Economics","ror":"https://ror.org/02311bm93","country_code":"CN","type":"education","lineage":["https://openalex.org/I228616957"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueke Feng","raw_affiliation_strings":["School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot, China","institution_ids":["https://openalex.org/I228616957"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101553344"],"corresponding_institution_ids":["https://openalex.org/I228616957"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.0355,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81398674,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"113642","last_page":"113652"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/toll","display_name":"Toll","score":0.9365898370742798},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.7358137369155884},{"id":"https://openalex.org/keywords/transport-engineering","display_name":"Transport engineering","score":0.6107366681098938},{"id":"https://openalex.org/keywords/profit-maximization","display_name":"Profit maximization","score":0.6066493391990662},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5635325312614441},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5628883242607117},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.5314815044403076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5162772536277771},{"id":"https://openalex.org/keywords/public-transport","display_name":"Public transport","score":0.5133675932884216},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4918046295642853},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3476281762123108},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2552714943885803},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2398448884487152},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.13619351387023926},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13006386160850525},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.0910697877407074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.08907148241996765}],"concepts":[{"id":"https://openalex.org/C2778025104","wikidata":"https://www.wikidata.org/wiki/Q408004","display_name":"Toll","level":2,"score":0.9365898370742798},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.7358137369155884},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.6107366681098938},{"id":"https://openalex.org/C2777780509","wikidata":"https://www.wikidata.org/wiki/Q1377422","display_name":"Profit maximization","level":3,"score":0.6066493391990662},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5635325312614441},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5628883242607117},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.5314815044403076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5162772536277771},{"id":"https://openalex.org/C539828613","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Public transport","level":2,"score":0.5133675932884216},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4918046295642853},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3476281762123108},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2552714943885803},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2398448884487152},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.13619351387023926},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13006386160850525},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.0910697877407074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08907148241996765},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3104332","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3104332","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09512075.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:388313f358914db7bae61b2f3e6b6b09","is_oa":true,"landing_page_url":"https://doaj.org/article/388313f358914db7bae61b2f3e6b6b09","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 113642-113652 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3104332","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3104332","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09512075.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G1179953300","display_name":null,"funder_award_id":"71661024","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3961164035","display_name":null,"funder_award_id":"72061027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5891128712","display_name":null,"funder_award_id":"2021MS07003","funder_id":"https://openalex.org/F4320322868","funder_display_name":"Natural Science Foundation of Inner Mongolia"},{"id":"https://openalex.org/G653492688","display_name":null,"funder_award_id":"NJZY18130","funder_id":"https://openalex.org/F4320327830","funder_display_name":"Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region"},{"id":"https://openalex.org/G854205424","display_name":null,"funder_award_id":"NJZZ20149","funder_id":"https://openalex.org/F4320327830","funder_display_name":"Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322868","display_name":"Natural Science Foundation of Inner Mongolia","ror":null},{"id":"https://openalex.org/F4320327830","display_name":"Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3193414962.pdf","grobid_xml":"https://content.openalex.org/works/W3193414962.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W598300420","https://openalex.org/W612457197","https://openalex.org/W636149254","https://openalex.org/W1578548346","https://openalex.org/W1976535716","https://openalex.org/W1982652887","https://openalex.org/W1984077935","https://openalex.org/W2021519095","https://openalex.org/W2037957189","https://openalex.org/W2041711468","https://openalex.org/W2053463097","https://openalex.org/W2063461053","https://openalex.org/W2064765430","https://openalex.org/W2067375995","https://openalex.org/W2074229415","https://openalex.org/W2078172939","https://openalex.org/W2090953327","https://openalex.org/W2098934312","https://openalex.org/W2112717196","https://openalex.org/W2121647997","https://openalex.org/W2141394272","https://openalex.org/W2146097261","https://openalex.org/W2149160895","https://openalex.org/W2156764480","https://openalex.org/W2171650662","https://openalex.org/W2171814967","https://openalex.org/W2172302361","https://openalex.org/W2217024885","https://openalex.org/W2255725007","https://openalex.org/W2298311993","https://openalex.org/W2590693225","https://openalex.org/W2793916326","https://openalex.org/W2889089058","https://openalex.org/W2965019022","https://openalex.org/W2972800152","https://openalex.org/W2993343820","https://openalex.org/W2997824793","https://openalex.org/W2999150335","https://openalex.org/W3003607408","https://openalex.org/W3121627871","https://openalex.org/W3122397118","https://openalex.org/W4241137197","https://openalex.org/W6617980195","https://openalex.org/W6620476794","https://openalex.org/W6634585277","https://openalex.org/W6675189693","https://openalex.org/W6685213032","https://openalex.org/W6688754001"],"related_works":["https://openalex.org/W3123712814","https://openalex.org/W2156764480","https://openalex.org/W2751558758","https://openalex.org/W2385288202","https://openalex.org/W2798679696","https://openalex.org/W2365061533","https://openalex.org/W2387046015","https://openalex.org/W4239446003","https://openalex.org/W87859928","https://openalex.org/W2349974711"],"abstract_inverted_index":{"As":[0],"the":[1,8,11,15,19,51,55,97,101,107,116,129,169],"traffic":[2,108],"infrastructure":[3],"for":[4],"collecting":[5],"vehicle":[6],"tolls,":[7],"capacity":[9,23,98],"of":[10,18,24,100,128],"toll":[12,26,64,102,117],"plaza":[13,27,65,103,118],"determines":[14],"service":[16,109],"level":[17],"entire":[20],"highway.":[21],"The":[22,132],"a":[25,47,60,63,68,72,147,162],"is":[28,43],"highly":[29],"correlated":[30],"with":[31,62],"its":[32],"operating":[33],"costs,":[34],"especially":[35],"in":[36,46,141],"peak":[37],"periods.":[38],"In":[39,145],"this":[40],"paper,":[41],"it":[42],"assumed":[44],"that":[45],"competitive":[48],"transportation":[49,130],"system,":[50],"residential":[52],"area":[53],"and":[54,92,123,157,161],"workplace":[56],"are":[57],"connected":[58],"by":[59,81,84,175],"highway":[61],"which":[66],"forms":[67],"bottleneck,":[69],"parallel":[70],"to":[71,79,111,153],"mass":[73],"transit":[74],"line;":[75],"commuters":[76],"can":[77],"choose":[78],"travel":[80,133,139],"car":[82],"or":[83],"public":[85],"transport.":[86],"By":[87],"establishing":[88],"an":[89],"equilibrium":[90,140],"model":[91,150],"two":[93],"mathematical":[94],"programming":[95],"models,":[96],"designs":[99],"were":[104,136,172],"studied":[105],"during":[106],"period":[110],"achieve":[112],"three":[113,142],"objectives,":[114],"namely,":[115],"breaking":[119],"even,":[120],"profit":[121,156],"maximization,":[122],"total":[124,155,158],"social":[125,159],"cost":[126],"minimization":[127],"system.":[131],"modal":[134],"splits":[135],"analyzed":[137],"under":[138],"situations,":[143],"respectively.":[144],"addition,":[146],"bi-objective":[148],"optimization":[149,164],"was":[151,166],"developed":[152],"optimize":[154],"cost,":[160],"Pareto":[163],"scheme":[165],"analyzed.":[167],"Finally,":[168],"theoretical":[170],"analyses":[171],"also":[173],"verified":[174],"numerical":[176],"examples.":[177]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}