{"id":"https://openalex.org/W7204454058","doi":"https://doi.org/10.2139/ssrn.7358630","title":"Performance approximation for time-varying bike-sharing systems with finite docks","display_name":"Performance approximation for time-varying bike-sharing systems with finite docks","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7204454058","doi":"https://doi.org/10.2139/ssrn.7358630"},"language":"en","primary_location":{"id":"doi:10.2139/ssrn.7358630","doi":"https://doi.org/10.2139/ssrn.7358630","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7358630","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.7358630","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148418790","display_name":"Yong Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I185940356","display_name":"Soochow University","ror":"https://ror.org/05kvm7n82","country_code":"TW","type":"education","lineage":["https://openalex.org/I185940356"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yong Zhang","raw_affiliation_strings":["Soochow University, No. 1 Shizi Street, Taipei, 215006, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soochow University, No. 1 Shizi Street, Taipei, 215006, Taiwan","institution_ids":["https://openalex.org/I185940356"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104145963","display_name":"Wenya Cui","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenya Cui","raw_affiliation_strings":["Soochow University, East Campus, Soochow University, No. 50 Donghuan R, Suzhou, 215006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soochow University, East Campus, Soochow University, No. 50 Donghuan R, Suzhou, 215006, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148431212","display_name":"Xiang Peng","orcid":"https://orcid.org/0009-0006-4336-1406","observed_orcids":["https://orcid.org/0009-0006-4336-1406"]},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiang Peng","raw_affiliation_strings":["Soochow University"],"raw_orcid":"https://orcid.org/0009-0006-4336-1406","affiliations":[{"raw_affiliation_string":"Soochow University","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023618857","display_name":"Ming Cheng","orcid":"https://orcid.org/0000-0003-0140-0113","observed_orcids":["https://orcid.org/0000-0003-0140-0113"]},"institutions":[{"id":"https://openalex.org/I185940356","display_name":"Soochow University","ror":"https://ror.org/05kvm7n82","country_code":"TW","type":"education","lineage":["https://openalex.org/I185940356"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ming Cheng","raw_affiliation_strings":["Soochow University, No. 1 Shizi Street, Taipei, 215006, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-0140-0113","affiliations":[{"raw_affiliation_string":"Soochow University, No. 1 Shizi Street, Taipei, 215006, Taiwan","institution_ids":["https://openalex.org/I185940356"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070894253","display_name":"Weike Lu","orcid":"https://orcid.org/0000-0003-0809-3590","observed_orcids":["https://orcid.org/0000-0003-0809-3590"]},"institutions":[{"id":"https://openalex.org/I185940356","display_name":"Soochow University","ror":"https://ror.org/05kvm7n82","country_code":"TW","type":"education","lineage":["https://openalex.org/I185940356"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Weike Lu","raw_affiliation_strings":["Soochow University, No. 1 Shizi Street, Taipei, 215006, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-0809-3590","affiliations":[{"raw_affiliation_string":"Soochow University, No. 1 Shizi Street, Taipei, 215006, Taiwan","institution_ids":["https://openalex.org/I185940356"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148440145","display_name":"Xiangwang Hu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangwang Hu","raw_affiliation_strings":["Soochow University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soochow University","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5148468955","display_name":"Yue Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Liu","raw_affiliation_strings":["Soochow University, East Campus, Soochow University, No. 50 Donghuan R, Suzhou, 215006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soochow University, East Campus, Soochow University, No. 50 Donghuan R, Suzhou, 215006, China","institution_ids":["https://openalex.org/I3923682"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5148431212"],"corresponding_institution_ids":["https://openalex.org/I3923682"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.4699999988079071,"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"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.4699999988079071,"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"}},{"id":"https://openalex.org/T10298","display_name":"Urban Transport and Accessibility","score":0.16859999299049377,"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":0.0949999988079071,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bike-sharing","display_name":"bike sharing","score":0.9990000128746033},{"id":"https://openalex.org/keywords/time-varying-demand","display_name":"time-varying demand","score":0.8309999704360962},{"id":"https://openalex.org/keywords/non-markovian-queues","display_name":"non-Markovian queues","score":0.6779999732971191},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"fixed point iteration","score":0.6190000176429749},{"id":"https://openalex.org/keywords/capacity-planning","display_name":"capacity planning","score":0.7799999713897705},{"id":"https://openalex.org/keywords/dynamic-rebalancing","display_name":"dynamic rebalancing","score":0.9449999928474426},{"id":"https://openalex.org/keywords/dwell-time","display_name":"dwell time","score":0.5460000038146973}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6029999852180481},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5817000269889832},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5379999876022339},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5318999886512756},{"id":"https://openalex.org/C2962069","wikidata":"https://www.wikidata.org/wiki/Q5462733","display_name":"Fluid queue","level":3,"score":0.48750001192092896},{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.4352000057697296},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4223000109195709},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.40560001134872437},{"id":"https://openalex.org/C93073132","wikidata":"https://www.wikidata.org/wiki/Q24726581","display_name":"DOCK","level":2,"score":0.40529999136924744},{"id":"https://openalex.org/C144745244","wikidata":"https://www.wikidata.org/wiki/Q4927286","display_name":"Blocking (statistics)","level":2,"score":0.384799987077713},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35370001196861267},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C2781007418","wikidata":"https://www.wikidata.org/wiki/Q1456934","display_name":"Capacity planning","level":2,"score":0.3337000012397766},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3264999985694885},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.32420000433921814},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.3176000118255615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3100999891757965},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29339998960494995},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.2906000018119812},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.28700000047683716},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C104122410","wikidata":"https://www.wikidata.org/wiki/Q1416406","display_name":"Network model","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C2986605239","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Numerical models","level":3,"score":0.2540000081062317}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.7358630","doi":"https://doi.org/10.2139/ssrn.7358630","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7358630","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.7358630","doi":"https://doi.org/10.2139/ssrn.7358630","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7358630","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"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":"posted-content"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.875,"id":"https://metadata.un.org/sdg/11"},{"display_name":"Industry, innovation and infrastructure","score":0.6773999929428101,"id":"https://metadata.un.org/sdg/9"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1487626875","https://openalex.org/W1989913148","https://openalex.org/W1992006513","https://openalex.org/W2041715573","https://openalex.org/W2067646912","https://openalex.org/W2116554828","https://openalex.org/W2132276257","https://openalex.org/W2148775749","https://openalex.org/W2555135382","https://openalex.org/W2565567774","https://openalex.org/W2757211914","https://openalex.org/W2808089867","https://openalex.org/W2884270802","https://openalex.org/W2900803712","https://openalex.org/W2951286848","https://openalex.org/W3028428492","https://openalex.org/W3047900762","https://openalex.org/W4206836974","https://openalex.org/W4225016466","https://openalex.org/W4292838754","https://openalex.org/W4312053025","https://openalex.org/W4321434824","https://openalex.org/W4389214939","https://openalex.org/W4408160301"],"related_works":["https://openalex.org/W4408408452","https://openalex.org/W2905316807","https://openalex.org/W4366306842","https://openalex.org/W2964093758","https://openalex.org/W2964115082","https://openalex.org/W2786964958","https://openalex.org/W2963652166","https://openalex.org/W3201959238","https://openalex.org/W2529356334","https://openalex.org/W4393057924"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-08-28T00:00:00"}