{"id":"https://openalex.org/W3143560293","doi":"https://doi.org/10.1142/s1752890921500045","title":"Two-Stage Distributionally Robust Optimization for a Two-Allocation <i>p</i>-Hub Median Problem","display_name":"Two-Stage Distributionally Robust Optimization for a Two-Allocation <i>p</i>-Hub Median Problem","publication_year":2021,"publication_date":"2021-03-01","ids":{"openalex":"https://openalex.org/W3143560293","doi":"https://doi.org/10.1142/s1752890921500045","mag":"3143560293"},"language":"en","primary_location":{"id":"doi:10.1142/s1752890921500045","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1752890921500045","pdf_url":null,"source":{"id":"https://openalex.org/S4210199942","display_name":"Journal of Uncertain Systems","issn_l":"1752-8909","issn":["1752-8909","1752-8917"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Uncertain Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060320987","display_name":"Congke Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Congke Wang","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Baoding City 071002, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding City 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022730182","display_name":"Baoding Liu","orcid":"https://orcid.org/0000-0002-3106-6761"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yankui Liu","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Baoding City 071002, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding City 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100605323","display_name":"Peiyu Zhang","orcid":"https://orcid.org/0000-0002-1715-5012"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peiyu Zhang","raw_affiliation_strings":["College of Mathematics and Information Science, Hebei University, Baoding City 071002, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei University, Baoding City 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000490238","display_name":"Guoqing Yang","orcid":"https://orcid.org/0000-0002-3633-2184"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoqing Yang","raw_affiliation_strings":["School of Management, Hebei University, Baoding City 071002, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Management, Hebei University, Baoding City 071002, P. R. China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000490238"],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":null,"apc_paid":null,"fwci":1.3631,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81902541,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"14","issue":"01","first_page":"2150004","last_page":"2150004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9991999864578247,"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":0.9991999864578247,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9983000159263611,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7081980109214783},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.700313925743103},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.6729408502578735},{"id":"https://openalex.org/keywords/beijing","display_name":"Beijing","score":0.6191130876541138},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5495341420173645},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.5307571887969971},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5086199045181274},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4877241551876068},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.38454216718673706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34485530853271484}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7081980109214783},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.700313925743103},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.6729408502578735},{"id":"https://openalex.org/C2778304055","wikidata":"https://www.wikidata.org/wiki/Q657474","display_name":"Beijing","level":3,"score":0.6191130876541138},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5495341420173645},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.5307571887969971},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5086199045181274},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4877241551876068},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.38454216718673706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34485530853271484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C191935318","wikidata":"https://www.wikidata.org/wiki/Q148","display_name":"China","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1752890921500045","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1752890921500045","pdf_url":null,"source":{"id":"https://openalex.org/S4210199942","display_name":"Journal of Uncertain Systems","issn_l":"1752-8909","issn":["1752-8909","1752-8917"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Uncertain Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6003232383","display_name":null,"funder_award_id":"71801077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8901065387","display_name":null,"funder_award_id":"61773150","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1482186473","https://openalex.org/W1523871055","https://openalex.org/W1780117312","https://openalex.org/W1965881091","https://openalex.org/W1969116531","https://openalex.org/W1973592498","https://openalex.org/W1992790175","https://openalex.org/W2005992932","https://openalex.org/W2015462215","https://openalex.org/W2015646948","https://openalex.org/W2037551729","https://openalex.org/W2039744534","https://openalex.org/W2040318179","https://openalex.org/W2041867487","https://openalex.org/W2044028040","https://openalex.org/W2052745698","https://openalex.org/W2063222326","https://openalex.org/W2075942607","https://openalex.org/W2089105401","https://openalex.org/W2090120298","https://openalex.org/W2118578357","https://openalex.org/W2128361327","https://openalex.org/W2141570108","https://openalex.org/W2159038687","https://openalex.org/W2226494280","https://openalex.org/W2256019806","https://openalex.org/W2344267577","https://openalex.org/W2510579186","https://openalex.org/W2531584334","https://openalex.org/W2621673107","https://openalex.org/W2697124173","https://openalex.org/W2737452257","https://openalex.org/W2889896490","https://openalex.org/W2902323712","https://openalex.org/W2945281338","https://openalex.org/W2964112657","https://openalex.org/W3124891448","https://openalex.org/W3125301415"],"related_works":["https://openalex.org/W2015747722","https://openalex.org/W2362050182","https://openalex.org/W2382418233","https://openalex.org/W2369897927","https://openalex.org/W3031731056","https://openalex.org/W4293167957","https://openalex.org/W2361035307","https://openalex.org/W2380455807","https://openalex.org/W2993975634","https://openalex.org/W2370463667"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,88,104,147],"novel":[4],"two-stage":[5],"distributionally":[6],"robust":[7,116],"optimization":[8],"model":[9,112],"of":[10,24,28,37,122],"the":[11,22,32,35,47,51,57,61,69,79,94,99,110,114,138,151,156],"two-allocation":[12],"p-hub":[13],"median":[14],"problem":[15],"with":[16],"different":[17],"hub":[18,33,38,41,70],"link":[19,42],"scales.":[20],"With":[21],"objective":[23],"minimizing":[25],"overall":[26],"costs":[27],"building":[29],"and":[30,40,130,140],"operating":[31],"network,":[34,71],"choices":[36],"locations":[39],"scales":[43],"are":[44,54],"decided":[45],"in":[46,56,155],"first":[48],"stage,":[49],"while":[50],"optimal":[52],"flows":[53],"determined":[55],"second":[58],"stage":[59],"once":[60],"uncertain":[62,80],"demands":[63],"have":[64,74],"been":[65],"realized.":[66],"Before":[67],"establishing":[68],"we":[72,108,145],"just":[73],"partial":[75],"distribution":[76],"information":[77],"about":[78],"flow":[81],"demands,":[82],"which":[83],"can":[84],"be":[85],"described":[86],"by":[87],"given":[89],"perturbation":[90,128,133],"set":[91,129],"based":[92],"on":[93],"historical":[95],"information.":[96],"Due":[97],"to":[98,103,136],"ambiguous":[100],"distributions":[101],"leading":[102],"computationally":[105],"intractable":[106],"model,":[107,144],"reformulate":[109],"proposed":[111],"into":[113],"tractable":[115],"counterpart":[117],"forms":[118],"under":[119],"two":[120],"types":[121],"uncertainty":[123],"sets":[124],"(Box[Formula:":[125],"see":[126],"text]ellipsoidal":[127],"Generalized":[131],"ellipsoidal":[132],"set).":[134],"Finally,":[135],"demonstrate":[137],"effectiveness":[139],"applicability":[141],"for":[142,150],"our":[143],"conduct":[146],"case":[148],"study":[149],"express":[152],"network":[153],"system":[154],"Beijing\u2013Tianjin\u2013Hebei":[157],"region.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}