{"id":"https://openalex.org/W4399039346","doi":"https://doi.org/10.1109/access.2024.3405643","title":"Robust Optimization Model Based on a Static Rebalancing Design for Bike- Sharing Systems Affected by Demand Uncertainty","display_name":"Robust Optimization Model Based on a Static Rebalancing Design for Bike- Sharing Systems Affected by Demand Uncertainty","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399039346","doi":"https://doi.org/10.1109/access.2024.3405643"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3405643","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3405643","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10539636.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":null,"license_id":null,"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/ielx7/6287639/6514899/10539636.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049980643","display_name":"Lijun Yu","orcid":"https://orcid.org/0000-0003-3721-251X"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lijun Yu","raw_affiliation_strings":["School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, China","State Key Laboratory of Subtropical Building and Urban Science, School of Architecture, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3721-251X","affiliations":[{"raw_affiliation_string":"School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"State Key Laboratory of Subtropical Building and Urban Science, School of Architecture, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055389051","display_name":"Yaogeng Xu","orcid":"https://orcid.org/0009-0009-5025-8118"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaogeng Xu","raw_affiliation_strings":["School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0009-0009-5025-8118","affiliations":[{"raw_affiliation_string":"School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101196809","display_name":"Haochen Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haochen Shi","raw_affiliation_strings":["School of Architecture, State Key Laboratory of Subtropical Building and Urban Science, South China University of Technology, Guangzhou, China","State Key Laboratory of Subtropical Building and Urban Science, School of Architecture, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Architecture, State Key Laboratory of Subtropical Building and Urban Science, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"State Key Laboratory of Subtropical Building and Urban Science, School of Architecture, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087476289","display_name":"Zhimin Zhang","orcid":"https://orcid.org/0000-0003-1040-2460"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhimin Zhang","raw_affiliation_strings":["School of Architecture, State Key Laboratory of Subtropical Building and Urban Science, South China University of Technology, Guangzhou, China","State Key Laboratory of Subtropical Building and Urban Science, School of Architecture, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Architecture, State Key Laboratory of Subtropical Building and Urban Science, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"State Key Laboratory of Subtropical Building and Urban Science, School of Architecture, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.1981,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.86726295,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"12","issue":null,"first_page":"73936","last_page":"73949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10298","display_name":"Urban Transport and Accessibility","score":0.9998000264167786,"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/T10298","display_name":"Urban Transport and Accessibility","score":0.9998000264167786,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9994999766349792,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.998199999332428,"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/computer-science","display_name":"Computer science","score":0.7127383351325989},{"id":"https://openalex.org/keywords/renting","display_name":"Renting","score":0.6892327070236206},{"id":"https://openalex.org/keywords/bike-sharing","display_name":"Bike sharing","score":0.672261118888855},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.595700204372406},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.5011804103851318},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4187783896923065},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.36535319685935974},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3339604139328003},{"id":"https://openalex.org/keywords/transport-engineering","display_name":"Transport engineering","score":0.21468064188957214},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11831605434417725}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7127383351325989},{"id":"https://openalex.org/C85502023","wikidata":"https://www.wikidata.org/wiki/Q157171","display_name":"Renting","level":2,"score":0.6892327070236206},{"id":"https://openalex.org/C2994001137","wikidata":"https://www.wikidata.org/wiki/Q1358919","display_name":"Bike sharing","level":2,"score":0.672261118888855},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.595700204372406},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.5011804103851318},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4187783896923065},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.36535319685935974},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3339604139328003},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.21468064188957214},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11831605434417725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3405643","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3405643","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10539636.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a33ad41b8c3d49bf9ea127ab4057c215","is_oa":true,"landing_page_url":"https://doaj.org/article/a33ad41b8c3d49bf9ea127ab4057c215","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 12, Pp 73936-73949 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3405643","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3405643","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10539636.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399039346.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W109636739","https://openalex.org/W1887510186","https://openalex.org/W1923305962","https://openalex.org/W1979411729","https://openalex.org/W2032251915","https://openalex.org/W2040282510","https://openalex.org/W2045321028","https://openalex.org/W2054274567","https://openalex.org/W2058481364","https://openalex.org/W2058541253","https://openalex.org/W2074069971","https://openalex.org/W2089953380","https://openalex.org/W2099225386","https://openalex.org/W2118578357","https://openalex.org/W2121204839","https://openalex.org/W2131116400","https://openalex.org/W2134991071","https://openalex.org/W2140433215","https://openalex.org/W2145507194","https://openalex.org/W2176511201","https://openalex.org/W2236944418","https://openalex.org/W2339611268","https://openalex.org/W2552201582","https://openalex.org/W2565567774","https://openalex.org/W2610909953","https://openalex.org/W2626391197","https://openalex.org/W2792879906","https://openalex.org/W2799668953","https://openalex.org/W2807361518","https://openalex.org/W2807866189","https://openalex.org/W2810222588","https://openalex.org/W2905631454","https://openalex.org/W2936504517","https://openalex.org/W2963614565","https://openalex.org/W3037369271","https://openalex.org/W3172518103","https://openalex.org/W4200502924","https://openalex.org/W4251616545","https://openalex.org/W4284969457","https://openalex.org/W4285149883"],"related_works":["https://openalex.org/W2954294845","https://openalex.org/W2521382368","https://openalex.org/W4246472006","https://openalex.org/W3134754987","https://openalex.org/W4386850732","https://openalex.org/W4288103796","https://openalex.org/W2076821048","https://openalex.org/W2952697756","https://openalex.org/W2472905917","https://openalex.org/W2392571142"],"abstract_inverted_index":{"Demand":[0],"uncertainty":[1],"and":[2,102],"variations":[3],"in":[4,62,121],"user":[5],"rental-return":[6],"behavior":[7],"can":[8],"lead":[9,38],"to":[10,21,31,39,56],"an":[11],"uneven":[12],"spatial":[13],"distribution":[14],"of":[15,98],"bicycles,":[16],"which":[17],"forces":[18],"bike-sharing":[19,24,43,64,78,123],"operators":[20],"rebalance":[22],"the":[23,58,85,87,96,99,117],"system":[25,65],"by":[26,67],"relocating":[27],"bicycles":[28],"from":[29,109],"overstocked":[30],"understocked":[32],"stations.":[33],"In":[34],"addition,":[35],"this":[36],"may":[37],"increased":[40],"costs":[41],"for":[42,77,116],"operators.":[44],"This":[45],"paper":[46,88],"proposed":[47,100],"a":[48,63,73,80,90],"two-stage":[49],"robust":[50],"model":[51,71,101],"based":[52],"on":[53],"spatio-temporal":[54],"networks":[55],"solve":[57,84],"static":[59,74,118],"rebalancing":[60,75,119],"problem":[61,120],"affected":[66],"demand":[68],"uncertainty.":[69],"The":[70],"designed":[72],"scheme":[76],"at":[79],"strategic":[81,113],"level.":[82],"To":[83],"problem,":[86],"used":[89],"customized":[91],"column-and-constraint":[92],"generation":[93],"algorithm.":[94],"Finally,":[95],"effectiveness":[97],"algorithm":[103],"was":[104],"confirmed":[105],"using":[106],"real":[107],"data":[108],"Shanghai,":[110],"China,":[111],"providing":[112],"decision":[114],"support":[115],"actual":[122],"systems.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}