{"id":"https://openalex.org/W3205171549","doi":"https://doi.org/10.1051/ro/2021155","title":"Robust sustainable multi-period hub location considering uncertain time-dependent demand","display_name":"Robust sustainable multi-period hub location considering uncertain time-dependent demand","publication_year":2021,"publication_date":"2021-10-14","ids":{"openalex":"https://openalex.org/W3205171549","doi":"https://doi.org/10.1051/ro/2021155","mag":"3205171549"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2021155","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021155","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/07/ro210169.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/07/ro210169.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013309388","display_name":"Amir Khaleghi","orcid":null},"institutions":[{"id":"https://openalex.org/I3124704065","display_name":"University of Kurdistan","ror":"https://ror.org/04k89yk85","country_code":"IR","type":"education","lineage":["https://openalex.org/I3124704065"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amir Khaleghi","raw_affiliation_strings":["Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Industrial Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran","institution_ids":["https://openalex.org/I3124704065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067178270","display_name":"Alireza Eydi","orcid":"https://orcid.org/0000-0002-7432-0520"},"institutions":[{"id":"https://openalex.org/I3124704065","display_name":"University of Kurdistan","ror":"https://ror.org/04k89yk85","country_code":"IR","type":"education","lineage":["https://openalex.org/I3124704065"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Alireza Eydi","raw_affiliation_strings":["Faculty of Engineering, University of Kurdistan, Sanandaj, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Kurdistan, Sanandaj, Iran","institution_ids":["https://openalex.org/I3124704065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8157,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86392528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"55","issue":"6","first_page":"3541","last_page":"3574"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9990000128746033,"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":0.9958000183105469,"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/time-horizon","display_name":"Time horizon","score":0.6591013669967651},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6510119438171387},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6366651058197021},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5740184187889099},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5492663979530334},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4588947296142578},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3420654833316803},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.31541505455970764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22437596321105957}],"concepts":[{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.6591013669967651},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6510119438171387},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6366651058197021},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5740184187889099},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5492663979530334},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4588947296142578},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3420654833316803},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.31541505455970764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22437596321105957},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2021155","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021155","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/07/ro210169.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2021155","is_oa":true,"landing_page_url":null,"pdf_url":"https://www.rairo-ro.org/10.1051/ro/2021155/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2021155","raw_type":"Text"},{"id":"pmh:oai:numdam.org:RO_2021__55_6_3541_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2021155/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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"}],"best_oa_location":{"id":"doi:10.1051/ro/2021155","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021155","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/07/ro210169.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3205171549.pdf","grobid_xml":"https://content.openalex.org/works/W3205171549.grobid-xml"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W204207140","https://openalex.org/W1971918127","https://openalex.org/W1973592498","https://openalex.org/W1973655159","https://openalex.org/W1976318392","https://openalex.org/W1979163442","https://openalex.org/W1983610497","https://openalex.org/W1985190165","https://openalex.org/W1997999551","https://openalex.org/W2004512637","https://openalex.org/W2005783716","https://openalex.org/W2005854295","https://openalex.org/W2012621637","https://openalex.org/W2013064914","https://openalex.org/W2023071828","https://openalex.org/W2029976345","https://openalex.org/W2037551729","https://openalex.org/W2039744534","https://openalex.org/W2041867487","https://openalex.org/W2042772514","https://openalex.org/W2047142925","https://openalex.org/W2051074227","https://openalex.org/W2060487580","https://openalex.org/W2075942607","https://openalex.org/W2077153562","https://openalex.org/W2091400818","https://openalex.org/W2091563205","https://openalex.org/W2102750402","https://openalex.org/W2118543814","https://openalex.org/W2122118143","https://openalex.org/W2127061258","https://openalex.org/W2127252918","https://openalex.org/W2128361327","https://openalex.org/W2134125472","https://openalex.org/W2153245253","https://openalex.org/W2159038687","https://openalex.org/W2160968569","https://openalex.org/W2161226765","https://openalex.org/W2165775468","https://openalex.org/W2173647411","https://openalex.org/W2194549225","https://openalex.org/W2256019806","https://openalex.org/W2531584334","https://openalex.org/W2590477908","https://openalex.org/W2599993212","https://openalex.org/W2613056794","https://openalex.org/W2621673107","https://openalex.org/W2697124173","https://openalex.org/W2723729301","https://openalex.org/W2742361935","https://openalex.org/W2759381347","https://openalex.org/W2767736150","https://openalex.org/W2803267973","https://openalex.org/W2921360665","https://openalex.org/W2945281338","https://openalex.org/W2971214385","https://openalex.org/W4211077071","https://openalex.org/W4231153919","https://openalex.org/W4238140901","https://openalex.org/W6813229505"],"related_works":["https://openalex.org/W2999135108","https://openalex.org/W2363340714","https://openalex.org/W2080536802","https://openalex.org/W2491330309","https://openalex.org/W3138760849","https://openalex.org/W4242490027","https://openalex.org/W2045874749","https://openalex.org/W2312438649","https://openalex.org/W2111408874","https://openalex.org/W4242710636"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,9,67,120,174],"mathematical":[4],"programming":[5],"model":[6,20,51,65,75,102],"for":[7,58,232],"designing":[8],"sustainable":[10],"continuous-time":[11],"multi-period":[12],"hub":[13,235],"network":[14,152,186],"considering":[15],"time-dependent":[16],"demand.":[17],"The":[18,63,71,220],"present":[19,128],"can":[21,41,211],"be":[22],"used":[23],"in":[24,187,190,202,224,246,266],"situations":[25],"where":[26],"the":[27,33,43,59,74,101,111,124,134,138,149,156,163,170,179,184,191,194,203,206,225,228,240,275],"distribution":[28],"of":[29,45,47,73,82,113,123,208,216,252,256],"parameters":[30,197,210,250,265],"related":[31],"to":[32,132,159,214,249],"demand":[34,60,195],"function":[35,61,196],"is":[36,66,237],"unknown,":[37],"and":[38,79,92,95,108,115,144,155,182,201,234,254,269,273],"we":[39,54,118,141,172,259],"only":[40],"determine":[42],"range":[44],"changes":[46,245],"these":[48,52,209,264],"parameters.":[49,62],"To":[50,136,168,243],"conditions,":[53],"consider":[55],"interval":[56],"uncertainty":[57],"proposed":[64,139,150],"nonlinear":[68],"multi-objective":[69,270],"model.":[70,125],"objectives":[72,85],"cover":[76],"economic,":[77],"environmental,":[78],"social":[80],"aspects":[81],"sustainability.":[83],"These":[84],"include":[86],"minimizing":[87,90],"total":[88,229],"costs,":[89],"emissions,":[91],"maximizing":[93],"fixed":[94],"variable":[96],"job":[97],"opportunities.":[98],"We":[99,126],"linearize":[100],"by":[103],"using":[104],"some":[105,129],"linearization":[106],"techniques,":[107],"then,":[109],"with":[110],"help":[112],"Bertsimas":[114],"Sim\u2019s":[116],"method,":[117],"construct":[119],"robust":[121],"counterpart":[122],"also":[127],"valid":[130],"inequalities":[131],"strengthen":[133],"formulation.":[135],"solve":[137,173],"model,":[140,151,171],"use":[142],"Torabi":[143],"Hassini":[145],"method.":[146],"From":[147],"solving":[148],"design":[153],"decisions":[154,161],"best":[157],"time":[158],"implement":[160],"during":[162],"planning":[164],"horizon":[165],"are":[166],"determined.":[167],"validate":[169],"sample":[175],"problem":[176],"based":[177],"on":[178,263],"Turkish":[180],"dataset":[181],"compare":[183],"designed":[185],"two":[188],"cases:":[189],"first":[192,241],"case,":[193,205,227],"take":[198],"nominal":[199,218],"values,":[200],"second":[204,226],"value":[207],"change":[212],"up":[213],"20%":[215],"their":[217],"values.":[219],"results":[221],"show":[222],"that":[223],"capacity":[230],"selected":[231],"hubs":[233],"links":[236],"greater":[238],"than":[239],"case.":[242],"investigate":[244],"objective":[247],"functions":[248],"level":[251],"conservatism":[253],"probability":[255],"constraints":[257],"violation,":[258],"perform":[260],"sensitivity":[261],"analysis":[262],"both":[267],"single-objective":[268],"optimization":[271],"cases":[272],"report":[274],"results.":[276]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}