{"id":"https://openalex.org/W2166599145","doi":"https://doi.org/10.1155/2014/136872","title":"Multimodal Network Equilibrium with Stochastic Travel Times","display_name":"Multimodal Network Equilibrium with Stochastic Travel Times","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2166599145","doi":"https://doi.org/10.1155/2014/136872","mag":"2166599145"},"language":"en","primary_location":{"id":"doi:10.1155/2014/136872","doi":"https://doi.org/10.1155/2014/136872","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/136872","pdf_url":null,"source":{"id":"https://openalex.org/S178238111","display_name":"Mathematical Problems in Engineering","issn_l":"1024-123X","issn":["1024-123X","1026-7077","1563-5147"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","poland-20","vabb-shw"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Problems in Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1155/2014/136872","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100425909","display_name":"Meng Meng","orcid":"https://orcid.org/0000-0001-7240-6454","observed_orcids":["https://orcid.org/0000-0001-7240-6454"]},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"M. Meng","raw_affiliation_strings":["Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University","MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044","Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798","MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081982909","display_name":"Chunfu Shao","orcid":"https://orcid.org/0000-0002-5495-8754","observed_orcids":["https://orcid.org/0000-0002-5495-8754"]},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"C. F. Shao","raw_affiliation_strings":["MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044","MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044","institution_ids":["https://openalex.org/I21193070"]},{"raw_affiliation_string":"MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010228559","display_name":"Yiik Diew Wong","orcid":"https://orcid.org/0000-0001-7419-5777","observed_orcids":["https://orcid.org/0000-0001-7419-5777"]},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Y. D. Wong","raw_affiliation_strings":["Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University","Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078089943","display_name":"Jie Zhang","orcid":"https://orcid.org/0000-0002-1669-7848","observed_orcids":["https://orcid.org/0000-0002-1669-7848"]},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"J. Zhang","raw_affiliation_strings":["Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University","Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Centre for Infrastructure Systems, School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081982909"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":1.3368,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.87793947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2014","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9976000189781189,"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":0.9976000189781189,"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":0.0007999999797903001,"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":9.999999747378752e-05,"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/stochastic-travel-times","display_name":"stochastic travel times","score":0.953000009059906},{"id":"https://openalex.org/keywords/variational-inequality-formulation","display_name":"variational inequality formulation","score":0.9169999957084656},{"id":"https://openalex.org/keywords/trip-distribution","display_name":"trip distribution","score":0.9580000042915344},{"id":"https://openalex.org/keywords/road-capacity","display_name":"road capacity","score":0.42500001192092896},{"id":"https://openalex.org/keywords/risk-preferences","display_name":"risk preferences","score":0.7120000123977661},{"id":"https://openalex.org/keywords/travel-time-uncertainty","display_name":"travel time uncertainty","score":0.5379999876022339}],"concepts":[{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7254893183708191},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.6782664060592651},{"id":"https://openalex.org/C157085824","wikidata":"https://www.wikidata.org/wiki/Q2384809","display_name":"TRIPS architecture","level":2,"score":0.6597608327865601},{"id":"https://openalex.org/C2777974031","wikidata":"https://www.wikidata.org/wiki/Q493641","display_name":"Multimodal transport","level":2,"score":0.5636754035949707},{"id":"https://openalex.org/C2985733770","wikidata":"https://www.wikidata.org/wiki/Q1233007","display_name":"Travel time","level":2,"score":0.5620201826095581},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47910264134407043},{"id":"https://openalex.org/C140331021","wikidata":"https://www.wikidata.org/wiki/Q1868104","display_name":"Logit","level":2,"score":0.4772855341434479},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4413590729236603},{"id":"https://openalex.org/C539828613","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Public transport","level":2,"score":0.4176766574382782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37608659267425537},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.36804473400115967},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.3676129877567291},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.26144546270370483},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16450533270835876},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1155/2014/136872","doi":"https://doi.org/10.1155/2014/136872","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/136872","pdf_url":null,"source":{"id":"https://openalex.org/S178238111","display_name":"Mathematical Problems in Engineering","issn_l":"1024-123X","issn":["1024-123X","1026-7077","1563-5147"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","poland-20","vabb-shw"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Problems in Engineering","raw_type":"journal-article"},{"id":"pmh:oai:gala.gre.ac.uk:22705","doi":null,"is_oa":false,"landing_page_url":"http://gala.gre.ac.uk/id/eprint/22705/3/22705%20MENG_Multimodal_Network_Equilibrium_with_Stochastic_Travel_Times_%28OA%29_2014.pdf","pdf_url":"http://gala.gre.ac.uk/id/eprint/22705/3/22705%20MENG_Multimodal_Network_Equilibrium_with_Stochastic_Travel_Times_%28OA%29_2014.pdf","source":{"id":"https://openalex.org/S4306401244","display_name":"Greenwich Academic Literature Archive (University of Greenwich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I55060895","host_organization_name":"University of Greenwich","host_organization_lineage":["https://openalex.org/I55060895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:RePEc:hin:jnlmpe:136872","doi":null,"is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/MPE/2014/136872.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:10797fc5396c4a0caf537559832f7c4d","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/10797fc5396c4a0caf537559832f7c4d","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,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Problems in Engineering, Vol 2014 (2014)","raw_type":"article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/104769","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/20278","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire/e84c530d-9c34-484a-b49c-c142e3e28b40","doi":null,"is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/e84c530d-9c34-484a-b49c-c142e3e28b40","pdf_url":null,"source":{"id":"https://openalex.org/S7407055359","display_name":"Explore Bristol Research","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Meng, M, Shao, C, Wong, Y D & Zhang, J 2014, 'Multimodal network equilibrium with stochastic travel times', Mathematical Problems in Engineering, vol. 2014, 136872. https://doi.org/10.1155/2014/136872","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/e84c530d-9c34-484a-b49c-c142e3e28b40","doi":null,"is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=84904697851&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Meng, M, Shao, C, Wong, Y D & Zhang, J 2014, 'Multimodal network equilibrium with stochastic travel times', Mathematical Problems in Engineering, vol. 2014, 136872. https://doi.org/10.1155/2014/136872","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1155/2014/136872","doi":"https://doi.org/10.1155/2014/136872","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/136872","pdf_url":null,"source":{"id":"https://openalex.org/S178238111","display_name":"Mathematical Problems in Engineering","issn_l":"1024-123X","issn":["1024-123X","1026-7077","1563-5147"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","poland-20","vabb-shw"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Problems in Engineering","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.761900007724762,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"},{"score":0.651199996471405,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1288568571","display_name":null,"funder_award_id":"#2012CB725403","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G1789253064","display_name":null,"funder_award_id":"51338008","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3850497216","display_name":null,"funder_award_id":"51338008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3917203787","display_name":null,"funder_award_id":"71210001","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5804203751","display_name":null,"funder_award_id":"2012CB725403","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7921230184","display_name":null,"funder_award_id":"71210001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W75265812","https://openalex.org/W1543690589","https://openalex.org/W1602511700","https://openalex.org/W1755180360","https://openalex.org/W1964160459","https://openalex.org/W1966323923","https://openalex.org/W1966327940","https://openalex.org/W1981073646","https://openalex.org/W1989705264","https://openalex.org/W1991032670","https://openalex.org/W1997907099","https://openalex.org/W2008297905","https://openalex.org/W2009585375","https://openalex.org/W2010421823","https://openalex.org/W2025380277","https://openalex.org/W2028594966","https://openalex.org/W2038030185","https://openalex.org/W2039854060","https://openalex.org/W2049516086","https://openalex.org/W2051856662","https://openalex.org/W2053276889","https://openalex.org/W2054124301","https://openalex.org/W2059901260","https://openalex.org/W2061738751","https://openalex.org/W2065597810","https://openalex.org/W2068958864","https://openalex.org/W2080355890","https://openalex.org/W2092095361","https://openalex.org/W2093014697","https://openalex.org/W2120370503","https://openalex.org/W2120618663","https://openalex.org/W2124341908","https://openalex.org/W2125222107","https://openalex.org/W2156462466","https://openalex.org/W2168677120","https://openalex.org/W4234005665"],"related_works":["https://openalex.org/W2119610721","https://openalex.org/W2156462466","https://openalex.org/W2913982697","https://openalex.org/W2913913742","https://openalex.org/W2120618663","https://openalex.org/W2061738751","https://openalex.org/W4389201021","https://openalex.org/W2274447192","https://openalex.org/W2318474936","https://openalex.org/W4312770009"],"abstract_inverted_index":{"The":[0,43,73,124,135],"private":[1],"car,":[2],"unlike":[3],"public":[4],"traffic":[5],"modes":[6,120],"(e.g.,":[7],"subway,":[8],"trolley)":[9],"running":[10],"along":[11],"dedicated":[12],"track\u2010ways,":[13],"is":[14,30,49,63,75,88,130],"invariably":[15],"subject":[16],"to":[17,105,143,168,186],"various":[18],"uncertainties":[19],"resulting":[20],"in":[21,39,90],"travel":[22,44,59,172,192],"time":[23,45,60,69],"variation.":[24],"A":[25],"multimodal":[26,108],"network":[27],"equilibrium":[28],"model":[29,136],"formulated":[31],"that":[32,165],"explicitly":[33],"considers":[34],"stochastic":[35],"link":[36],"capacity":[37,176],"variability":[38],"the":[40,53,56,85,96,107,114,145,153,157,170],"road":[41,158,175],"network.":[42],"of":[46,55,66,126,156,161],"combined\u2010mode":[47,115],"trips":[48,116],"accumulated":[50],"based":[51],"on":[52],"concept":[54],"mean":[57],"excess":[58],"(METT)":[61],"which":[62,111],"a":[64,91,122],"summation":[65],"estimated":[67],"buffer":[68],"and":[70,99,137,148],"tardy":[71],"time.":[72],"problem":[74,133],"characterized":[76],"by":[77,152],"an":[78],"equivalent":[79],"VI":[80],"(variational":[81],"inequality)":[82],"formulation":[83],"where":[84],"mode":[86,173],"choice":[87,193],"expressed":[89],"hierarchical":[92],"logit":[93],"structure.":[94],"Specifically,":[95],"supernetwork":[97],"theory":[98],"expansion":[100],"technique":[101],"are":[102,140,184],"used":[103],"herein":[104],"represent":[106],"transportation":[109],"network,":[110],"completely":[112],"represents":[113],"as":[117,174],"constituting":[118],"multiple":[119],"within":[121],"trip.":[123],"method":[125,139],"successive":[127],"weighted":[128],"average":[129],"adopted":[131],"for":[132],"solutions.":[134],"solution":[138],"further":[141],"applied":[142],"study":[144],"trip":[146],"distribution":[147],"METT":[149],"variations":[150],"caused":[151],"different":[154,180],"levels":[155],"conditions.":[159],"Results":[160],"numerical":[162],"examples":[163],"show":[164],"travelers":[166],"prefer":[167],"choose":[169],"combined":[171],"decreases.":[177],"Travelers":[178],"with":[179],"attitudes":[181],"towards":[182],"risk":[183],"shown":[185],"exhibit":[187],"significant":[188],"differences":[189],"when":[190],"making":[191],"decisions.":[194]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2016-06-24T00:00:00"}