{"id":"https://openalex.org/W3018657882","doi":"https://doi.org/10.1007/s00291-020-00616-7","title":"A branch-and-Benders-cut algorithm for a bi-objective stochastic facility location problem","display_name":"A branch-and-Benders-cut algorithm for a bi-objective stochastic facility location problem","publication_year":2021,"publication_date":"2021-03-06","ids":{"openalex":"https://openalex.org/W3018657882","doi":"https://doi.org/10.1007/s00291-020-00616-7","mag":"3018657882","pmid":"https://pubmed.ncbi.nlm.nih.gov/35673526"},"language":"en","primary_location":{"id":"doi:10.1007/s00291-020-00616-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00291-020-00616-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00291-020-00616-7.pdf","source":{"id":"https://openalex.org/S2502551423","display_name":"OR Spectrum","issn_l":"0171-6468","issn":["0171-6468","1436-6304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OR Spectrum","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00291-020-00616-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037046189","display_name":"Sophie N. Parragh","orcid":"https://orcid.org/0000-0002-7428-9770"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Sophie N. Parragh","raw_affiliation_strings":["Institute of Production and Logistics Management, Johannes Kepler University Linz, Altenberger Stra\u00dfe 69, 4040 Linz, Austria","JOHANNES KEPLER UNIVERSITY LINZ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Production and Logistics Management, Johannes Kepler University Linz, Altenberger Stra\u00dfe 69, 4040 Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"JOHANNES KEPLER UNIVERSITY LINZ","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026344649","display_name":"Fabien Tricoire","orcid":"https://orcid.org/0000-0002-3700-5134"},"institutions":[{"id":"https://openalex.org/I102248843","display_name":"Vienna University of Economics and Business","ror":"https://ror.org/03yn8s215","country_code":"AT","type":"education","lineage":["https://openalex.org/I102248843"]},{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Fabien Tricoire","raw_affiliation_strings":["Institute for Transport and Logistics Management, Vienna University of Economics and Business, Welthandelsplatz 1, 1020 Vienna, Austria","JOHANNES KEPLER UNIVERSITY LINZ"],"raw_orcid":"https://orcid.org/0000-0002-3700-5134","affiliations":[{"raw_affiliation_string":"Institute for Transport and Logistics Management, Vienna University of Economics and Business, Welthandelsplatz 1, 1020 Vienna, Austria","institution_ids":["https://openalex.org/I102248843"]},{"raw_affiliation_string":"JOHANNES KEPLER UNIVERSITY LINZ","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087452627","display_name":"Walter J. Gutjahr","orcid":"https://orcid.org/0000-0003-1494-2501"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Walter J. Gutjahr","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria","Univ of Vienna"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Univ of Vienna","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026344649"],"corresponding_institution_ids":["https://openalex.org/I102248843","https://openalex.org/I121883995"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.196,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57015423,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"44","issue":"2","first_page":"419","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9987999796867371,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7660386562347412},{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.7658032774925232},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.6902791857719421},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.6755635738372803},{"id":"https://openalex.org/keywords/benders-decomposition","display_name":"Benders' decomposition","score":0.600715696811676},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5514817237854004},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.5280309915542603},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.5190930366516113},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.5118943452835083},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5071859359741211},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5057523250579834},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5015640258789062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49389511346817017},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4690530598163605},{"id":"https://openalex.org/keywords/1-center-problem","display_name":"1-center problem","score":0.43924248218536377},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.42873692512512207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36524417996406555}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7660386562347412},{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.7658032774925232},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.6902791857719421},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.6755635738372803},{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.600715696811676},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5514817237854004},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.5280309915542603},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5190930366516113},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.5118943452835083},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5071859359741211},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5057523250579834},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5015640258789062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49389511346817017},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4690530598163605},{"id":"https://openalex.org/C50524431","wikidata":"https://www.wikidata.org/wiki/Q4545814","display_name":"1-center problem","level":3,"score":0.43924248218536377},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.42873692512512207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36524417996406555},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1007/s00291-020-00616-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00291-020-00616-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00291-020-00616-7.pdf","source":{"id":"https://openalex.org/S2502551423","display_name":"OR Spectrum","issn_l":"0171-6468","issn":["0171-6468","1436-6304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OR Spectrum","raw_type":"journal-article"},{"id":"pmid:35673526","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35673526","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OR spectrum : quantitative approaches in management","raw_type":null},{"id":"pmh:oai:research.wu.ac.at:openaire/7b909976-9d3c-4e18-b41e-cac12e6a6e70","is_oa":true,"landing_page_url":"https://research.wu.ac.at/de/publications/7b909976-9d3c-4e18-b41e-cac12e6a6e70","pdf_url":null,"source":{"id":"https://openalex.org/S7407055123","display_name":"WU Research","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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parragh, S, Tricoire, F & Gutjahr, W 2021, 'A branch-and-Benders-cut algorithm for a bi-objective stochastic facility location problem', OR Spectrum. https://doi.org/10.1007/s00291-020-00616-7","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2004.11248","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.11248","pdf_url":"https://arxiv.org/pdf/2004.11248","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"pmh:oai:epub.wu-wien.ac.at:8039","is_oa":true,"landing_page_url":"https://epub.wu.ac.at/8039/1/Parragh2021_Article_ABranch-and-Benders-cutAlgorit.pdf","pdf_url":"https://epub.wu.ac.at/8039/1/Parragh2021_Article_ABranch-and-Benders-cutAlgorit.pdf","source":{"id":"https://openalex.org/S4306400052","display_name":"ePubWU Institutional Repository (Wirtschaftsuniversit\u00e4t Wien)","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:9165290","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9165290","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"OR Spectr","raw_type":"Text"},{"id":"mag:3018657882","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2004.11248.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:spr:orspec:v:44:y:2022:i:2:d:10.1007_s00291-020-00616-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00291-020-00616-7","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":"doi:10.48550/arxiv.2004.11248","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.11248","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00291-020-00616-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00291-020-00616-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00291-020-00616-7.pdf","source":{"id":"https://openalex.org/S2502551423","display_name":"OR Spectrum","issn_l":"0171-6468","issn":["0171-6468","1436-6304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OR Spectrum","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.7900000214576721}],"awards":[{"id":"https://openalex.org/G4544763744","display_name":"MOMIP: Multi-objective (mixed) integer programming","funder_award_id":"P31366","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G4948322083","display_name":"HybridMOOP: Client-Centered Multi-Objective Optimization","funder_award_id":"P 23589","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3018657882.pdf","grobid_xml":"https://content.openalex.org/works/W3018657882.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W78032481","https://openalex.org/W1482186473","https://openalex.org/W1569990960","https://openalex.org/W1587026990","https://openalex.org/W1850626047","https://openalex.org/W1931616235","https://openalex.org/W1965268960","https://openalex.org/W1968876856","https://openalex.org/W1972774997","https://openalex.org/W1978090048","https://openalex.org/W1987575450","https://openalex.org/W1995961554","https://openalex.org/W2009766667","https://openalex.org/W2013926956","https://openalex.org/W2029932115","https://openalex.org/W2033101686","https://openalex.org/W2034379870","https://openalex.org/W2036178414","https://openalex.org/W2038426159","https://openalex.org/W2040896439","https://openalex.org/W2044121814","https://openalex.org/W2050000782","https://openalex.org/W2050695188","https://openalex.org/W2054023952","https://openalex.org/W2086522200","https://openalex.org/W2094275102","https://openalex.org/W2099774996","https://openalex.org/W2122235509","https://openalex.org/W2135369792","https://openalex.org/W2149454052","https://openalex.org/W2166292404","https://openalex.org/W2168723985","https://openalex.org/W2171290056","https://openalex.org/W2181860675","https://openalex.org/W2195920772","https://openalex.org/W2211606247","https://openalex.org/W2346945665","https://openalex.org/W2567715313","https://openalex.org/W2615258659","https://openalex.org/W2779916888","https://openalex.org/W2809395956","https://openalex.org/W2887951419","https://openalex.org/W2889871839","https://openalex.org/W2944213100","https://openalex.org/W4238107244","https://openalex.org/W4240374930","https://openalex.org/W4254687493"],"related_works":["https://openalex.org/W3134426966","https://openalex.org/W3184119309","https://openalex.org/W3135271884","https://openalex.org/W2371656440","https://openalex.org/W2153513520","https://openalex.org/W2556976888","https://openalex.org/W2064783481","https://openalex.org/W2196306096","https://openalex.org/W2053246277","https://openalex.org/W2344180247","https://openalex.org/W3000596024","https://openalex.org/W3120062519","https://openalex.org/W2741370803","https://openalex.org/W2966000889","https://openalex.org/W2984785540","https://openalex.org/W1144592954","https://openalex.org/W2996510669","https://openalex.org/W3118085990","https://openalex.org/W2085449023","https://openalex.org/W164722554"],"abstract_inverted_index":{"In":[0,19,77],"many":[1],"real-world":[2],"optimization":[3,83],"problems,":[4],"more":[5],"than":[6],"one":[7],"objective":[8],"plays":[9],"a":[10,36,73,87,107,149],"role":[11],"and":[12,28,34,47,102,118,124],"input":[13],"parameters":[14],"are":[15,45],"subject":[16],"to":[17,71,79,136,148],"uncertainty.":[18],"this":[20],"paper,":[21],"motivated":[22],"by":[23],"applications":[24],"in":[25],"disaster":[26],"relief":[27],"public":[29],"facility":[30,39],"location,":[31],"we":[32,85,103,125,143],"model":[33],"solve":[35,80],"bi-objective":[37,113],"stochastic":[38,100],"location":[40],"problem.":[41],"The":[42,66],"considered":[43],"objectives":[44],"cost":[46],"covered":[48],"demand,":[49],"where":[50],"the":[51,54,81,96,138,145,155],"demand":[52],"at":[53],"different":[55,120],"population":[56],"centers":[57],"is":[58,64,69,93],"uncertain":[59],"but":[60],"its":[61],"probability":[62],"distribution":[63],"known.":[65],"latter":[67],"information":[68],"used":[70],"produce":[72],"set":[74,132],"of":[75],"scenarios.":[76],"order":[78],"underlying":[82],"problem,":[84],"apply":[86],"Benders'":[88],"type":[89],"decomposition":[90],"approach":[91,147],"which":[92],"known":[94],"as":[95,135],"L-shaped":[97],"method":[98],"for":[99,112],"programming":[101],"embed":[104],"it":[105],"into":[106],"recently":[108],"developed":[109],"branch-and-bound":[110,151],"framework":[111],"integer":[114],"optimization.":[115],"We":[116],"analyze":[117],"compare":[119,144],"cut":[121],"generation":[122],"schemes":[123],"show":[126],"how":[127],"they":[128],"affect":[129],"lower":[130],"bound":[131],"computations,":[133],"so":[134],"identify":[137],"best":[139],"performing":[140],"approach.":[141],"Finally,":[142],"branch-and-Benders-cut":[146],"straight-forward":[150],"implementation":[152],"based":[153],"on":[154],"deterministic":[156],"equivalent":[157],"formulation.":[158]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
