{"id":"https://openalex.org/W2948008938","doi":"https://doi.org/10.1155/2019/2674697","title":"Mixed Optimal Scheduling Model of Flexible Service System Based on Inverted Triangle","display_name":"Mixed Optimal Scheduling Model of Flexible Service System Based on Inverted Triangle","publication_year":2019,"publication_date":"2019-06-02","ids":{"openalex":"https://openalex.org/W2948008938","doi":"https://doi.org/10.1155/2019/2674697","mag":"2948008938"},"language":"en","primary_location":{"id":"doi:10.1155/2019/2674697","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/2674697","pdf_url":null,"source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://doi.org/10.1155/2019/2674697","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090852189","display_name":"Shipei Hu","orcid":"https://orcid.org/0000-0002-7143-8304"},"institutions":[{"id":"https://openalex.org/I1284762954","display_name":"Zhejiang A & F University","ror":"https://ror.org/02vj4rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I1284762954"]},{"id":"https://openalex.org/I4210126248","display_name":"Jiyang College of Zhejiang A&F University","ror":"https://ror.org/032sv9d33","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210126248"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shipei Hu","raw_affiliation_strings":["Jiyang College, Zhejiang A and F University, 77 Puyang Rd., Zhuji 311800, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"Jiyang College, Zhejiang A and F University, 77 Puyang Rd., Zhuji 311800, Zhejiang, China","institution_ids":["https://openalex.org/I4210126248","https://openalex.org/I1284762954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054489432","display_name":"Yujun Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I31683504","display_name":"Beijing Forestry University","ror":"https://ror.org/04xv2pc41","country_code":"CN","type":"education","lineage":["https://openalex.org/I1327237609","https://openalex.org/I31683504","https://openalex.org/I4210127390"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujun Sun","raw_affiliation_strings":["School of Economics and Management, Beijing Forestry University, 35 Qinghua East Rd., Haidian District, Beijing 100083, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Forestry University, 35 Qinghua East Rd., Haidian District, Beijing 100083, China","institution_ids":["https://openalex.org/I31683504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090852189"],"corresponding_institution_ids":["https://openalex.org/I1284762954","https://openalex.org/I4210126248"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.2062,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57671169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9998999834060669,"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/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9998999834060669,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/integer-programming","display_name":"Integer programming","score":0.6077197790145874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5989657044410706},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5952317714691162},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5811127424240112},{"id":"https://openalex.org/keywords/service-model","display_name":"Service model","score":0.536628782749176},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.37286195158958435},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.35714003443717957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2539733648300171},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13858333230018616}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6077197790145874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5989657044410706},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5952317714691162},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5811127424240112},{"id":"https://openalex.org/C2983289691","wikidata":"https://www.wikidata.org/wiki/Q7455768","display_name":"Service model","level":3,"score":0.536628782749176},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.37286195158958435},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.35714003443717957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2539733648300171},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13858333230018616},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2019/2674697","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/2674697","pdf_url":null,"source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1563933638","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1563933638","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:2674697","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2019/2674697.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,"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:130838e113a444bbbc3501ff7af78e4b","is_oa":true,"landing_page_url":"https://doaj.org/article/130838e113a444bbbc3501ff7af78e4b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2019 (2019)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2019/2674697","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/2674697","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2019/2674697","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/2674697","pdf_url":null,"source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1982715393","https://openalex.org/W2031574906","https://openalex.org/W2035785145","https://openalex.org/W2067468271","https://openalex.org/W2101013308","https://openalex.org/W2123696861","https://openalex.org/W2134131259","https://openalex.org/W2741024270"],"related_works":["https://openalex.org/W3030448103","https://openalex.org/W2350876336","https://openalex.org/W2382948228","https://openalex.org/W2365482442","https://openalex.org/W2025618324","https://openalex.org/W2025955409","https://openalex.org/W1990144832","https://openalex.org/W2391547337","https://openalex.org/W2360695303","https://openalex.org/W1986410062"],"abstract_inverted_index":{"In":[0],"the":[1,21,41,43,89,98,107,114,126,138,141,146],"study":[2],"presented":[3],"in":[4,40,54,68,106,137],"this":[5],"paper,":[6],"we":[7,78,86,102],"built":[8],"a":[9,16,62,134],"nonlinear":[10],"binary":[11],"integer":[12,65],"programming":[13,66],"model":[14,33,56,105],"of":[15,23,45,64,91,94,110,118,140],"flexible":[17],"scheduling":[18,74],"problem":[19],"for":[20],"Department":[22],"Zhejiang":[24],"Provincial":[25],"Local":[26],"Tax":[27],"Services.":[28],"One":[29],"difference":[30],"between":[31],"our":[32,55,73,104],"and":[34,125],"typical":[35],"ones":[36],"is":[37,52,58,143],"that":[38],"whereas":[39],"latter":[42],"number":[44],"open":[46],"windows":[47],"within":[48],"each":[49],"working":[50,128],"day":[51],"fixed,":[53],"it":[57],"not.":[59],"We":[60],"used":[61],"variety":[63],"software":[67],"an":[69,82],"attempt":[70],"to":[71,96],"solve":[72],"model;":[75],"however,":[76],"unfortunately":[77],"could":[79],"not":[80],"find":[81],"optimal":[83,99],"solution.":[84,100],"Thus,":[85,133],"tested":[87,103],"all":[88],"combinations":[90],"different":[92],"numbers":[93],"employees":[95,127],"construct":[97],"When":[101],"tax":[108],"office":[109],"Lishui":[111],"City,":[112],"China,":[113],"average":[115],"waiting":[116],"time":[117],"taxpayers":[119],"was":[120],"less":[121],"than":[122],"15":[123],"min":[124],"hours":[129],"were":[130],"clearly":[131],"reduced.":[132],"noteworthy":[135],"improvement":[136],"quality":[139],"service":[142],"achieved":[144],"by":[145],"model.":[147]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
