{"id":"https://openalex.org/W4377086296","doi":"https://doi.org/10.48550/arxiv.2305.09069","title":"Sufficient conditions for multi-stages traffic assignment model to be the convex optimization problem","display_name":"Sufficient conditions for multi-stages traffic assignment model to be the convex optimization problem","publication_year":2023,"publication_date":"2023-05-15","ids":{"openalex":"https://openalex.org/W4377086296","doi":"https://doi.org/10.48550/arxiv.2305.09069"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2305.09069","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.09069","pdf_url":"https://arxiv.org/pdf/2305.09069","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2305.09069","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063689077","display_name":"Evgenia V Gasnikova","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gasnikova, Evgenia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028866398","display_name":"Alexander  Vladimirovich Gasnikov","orcid":"https://orcid.org/0000-0002-7386-039X","observed_orcids":["https://orcid.org/0000-0002-7386-039X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gasnikov, Alexander","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029455617","display_name":"Demyan Yarmoshik","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yarmoshik, Demyan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069484290","display_name":"M. B. Kubentaeva","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kubentaeva, Meruza","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048891494","display_name":"Michael Persiianov","orcid":"https://orcid.org/0009-0008-7059-1244","observed_orcids":["https://orcid.org/0009-0008-7059-1244"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Persiianov, Michael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091978615","display_name":"Irina  V Podlipnova","orcid":"https://orcid.org/0009-0008-5015-7985","observed_orcids":["https://orcid.org/0009-0008-5015-7985"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Podlipnova, Irina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054062926","display_name":"Ekaterina Kotlyarova","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kotlyarova, Ekaterina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091978616","display_name":"Ilya Sklonin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sklonin, Ilya","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113133113","display_name":"Elena Podobnaya","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Podobnaya, Elena","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044833995","display_name":"Vladislav Vyacheslavovich Matyukhin","orcid":"https://orcid.org/0000-0003-4961-1577","observed_orcids":["https://orcid.org/0000-0003-4961-1577"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matyukhin, Vladislav","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.8910999894142151,"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":0.8910999894142151,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.03999999910593033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.007699999958276749,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convex-optimization","display_name":"convex optimization","score":0.8820000290870667},{"id":"https://openalex.org/keywords/saddle-point-problems","display_name":"saddle point problems","score":0.9629999995231628},{"id":"https://openalex.org/keywords/convex-concave-optimization","display_name":"convex-concave optimization","score":0.8519999980926514},{"id":"https://openalex.org/keywords/user-types","display_name":"user types","score":0.6460000276565552},{"id":"https://openalex.org/keywords/numerical-solution","display_name":"numerical solution","score":0.5429999828338623}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6965887546539307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.682188868522644},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5737961530685425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5222697854042053},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5070269107818604},{"id":"https://openalex.org/C85044808","wikidata":"https://www.wikidata.org/wiki/Q620614","display_name":"Assignment problem","level":2,"score":0.4821138381958008},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4638521671295166},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.45135343074798584},{"id":"https://openalex.org/C127233936","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Entropy maximization","level":3,"score":0.4409826397895813},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.43632084131240845},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3671530485153198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.321478933095932},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11526846885681152},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2305.09069","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.09069","pdf_url":"https://arxiv.org/pdf/2305.09069","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"doi:10.48550/arxiv.2305.09069","doi":"https://doi.org/10.48550/arxiv.2305.09069","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2305.09069","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2305.09069","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.09069","pdf_url":"https://arxiv.org/pdf/2305.09069","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4377086296.pdf","grobid_xml":"https://content.openalex.org/works/W4377086296.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3013583879","https://openalex.org/W2094831209","https://openalex.org/W2000487013","https://openalex.org/W4392410105","https://openalex.org/W3111985388","https://openalex.org/W2472892754","https://openalex.org/W4226504842","https://openalex.org/W656885785","https://openalex.org/W4250738037","https://openalex.org/W2077098973"],"abstract_inverted_index":{"In":[0],"this":[1,60],"paper":[2],"we":[3,40,54],"consider":[4,18],"multi-stages":[5],"traffic":[6,28,37],"assignment":[7,29,38],"with":[8],"several":[9],"demand":[10,21],"layers,":[11],"user":[12],"types":[13],"and":[14,27,44],"network":[15],"types.":[16],"We":[17],"two":[19],"stages:":[20],"matrix":[22],"calculation":[23],"(Entropy":[24],"Wilson's":[25],"model)":[26],"models":[30],"(Beckmann":[31],"or":[32],"Nesterov--de":[33],"Palma).":[34],"For":[35],"the":[36],"stage":[39],"use":[41],"dual":[42],"reformulation":[43],"combine":[45],"these":[46],"stages":[47],"as":[48],"a":[49],"saddle-point":[50],"problem":[51,61],"(convex-concave).":[52],"Then":[53],"discuss":[55],"how":[56],"one":[57],"can":[58],"solve":[59],"numerically.":[62]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-05-20T00:00:00"}
