{"id":"https://openalex.org/W3198496253","doi":"https://doi.org/10.1287/ijoc.2023.1276","title":"Optimization Problems in Graphs with Locational Uncertainty","display_name":"Optimization Problems in Graphs with Locational Uncertainty","publication_year":2023,"publication_date":"2023-03-10","ids":{"openalex":"https://openalex.org/W3198496253","doi":"https://doi.org/10.1287/ijoc.2023.1276","mag":"3198496253"},"language":"en","primary_location":{"id":"doi:10.1287/ijoc.2023.1276","is_oa":false,"landing_page_url":"https://doi.org/10.1287/ijoc.2023.1276","pdf_url":null,"source":{"id":"https://openalex.org/S165318533","display_name":"INFORMS journal on computing","issn_l":"1091-9856","issn":["1091-9856","1526-5528"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"INFORMS Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2109.00389","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062080875","display_name":"Marin Bougeret","orcid":"https://orcid.org/0000-0002-9910-4656"},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marin Bougeret","raw_affiliation_strings":["Laboratoire d\u2019Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier, Centre National de la Recherche Scientifique, 34095 Montpellier, France;"],"raw_orcid":"https://orcid.org/0000-0002-9910-4656","affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier, Centre National de la Recherche Scientifique, 34095 Montpellier, France;","institution_ids":["https://openalex.org/I4210101743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040544859","display_name":"J\u00e9r\u00e9my Omer","orcid":"https://orcid.org/0000-0001-8801-6135"},"institutions":[{"id":"https://openalex.org/I28221208","display_name":"Institut National des Sciences Appliqu\u00e9es de Rennes","ror":"https://ror.org/04xaa4j22","country_code":"FR","type":"education","lineage":["https://openalex.org/I28221208"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9my Omer","raw_affiliation_strings":["Institut de Recherche Math\u00e9matique de Rennes, Institut National des Sciences Appliqu\u00e9es, 35700 Rennes, France"],"raw_orcid":"https://orcid.org/0000-0001-8801-6135","affiliations":[{"raw_affiliation_string":"Institut de Recherche Math\u00e9matique de Rennes, Institut National des Sciences Appliqu\u00e9es, 35700 Rennes, France","institution_ids":["https://openalex.org/I28221208","https://openalex.org/I4210161663"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087966660","display_name":"Micha\u00ebl Poss","orcid":"https://orcid.org/0000-0002-9145-2525"},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michael Poss","raw_affiliation_strings":["Laboratoire d\u2019Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier, Centre National de la Recherche Scientifique, 34095 Montpellier, France;"],"raw_orcid":"https://orcid.org/0000-0002-9145-2525","affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier, Centre National de la Recherche Scientifique, 34095 Montpellier, France;","institution_ids":["https://openalex.org/I4210101743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062080875"],"corresponding_institution_ids":["https://openalex.org/I4210101743"],"apc_list":null,"apc_paid":null,"fwci":0.2466,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52959007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"35","issue":"3","first_page":"578","last_page":"592"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.998199999332428,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.998199999332428,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.998199999332428,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.996999979019165,"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/mathematics","display_name":"Mathematics","score":0.6551673412322998},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.6437427401542664},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.6154808402061462},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5063053369522095},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4773431122303009},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4692387878894806},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.46634572744369507},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.46449875831604004},{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.46110185980796814},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4601076543331146},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.447458416223526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3273070454597473}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6551673412322998},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.6437427401542664},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.6154808402061462},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5063053369522095},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4773431122303009},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4692387878894806},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.46634572744369507},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.46449875831604004},{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.46110185980796814},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4601076543331146},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.447458416223526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3273070454597473},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1287/ijoc.2023.1276","is_oa":false,"landing_page_url":"https://doi.org/10.1287/ijoc.2023.1276","pdf_url":null,"source":{"id":"https://openalex.org/S165318533","display_name":"INFORMS journal on computing","issn_l":"1091-9856","issn":["1091-9856","1526-5528"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"INFORMS Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2109.00389","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.00389","pdf_url":"https://arxiv.org/pdf/2109.00389","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03331166v5","is_oa":true,"landing_page_url":"https://hal.science/hal-03331166","pdf_url":"https://hal.science/hal-03331166v5/file/IJOC-secondrevision%20%281%29.pdf","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"INFORMS Journal on Computing, 2023, 35 (3), pp.578-592. ⟨10.1287/ijoc.2023.1276⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:inm:orijoc:v:35:y:2023:i:3:p:578-592","is_oa":false,"landing_page_url":"http://doi.org/10.1287/ijoc.2023.1276","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2109.00389","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.00389","pdf_url":"https://arxiv.org/pdf/2109.00389","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W143512583","https://openalex.org/W412237700","https://openalex.org/W1036579647","https://openalex.org/W1913536532","https://openalex.org/W1918816242","https://openalex.org/W1985672665","https://openalex.org/W1995561296","https://openalex.org/W2006806110","https://openalex.org/W2028589351","https://openalex.org/W2031279008","https://openalex.org/W2070583489","https://openalex.org/W2075804108","https://openalex.org/W2078726782","https://openalex.org/W2089105401","https://openalex.org/W2089953380","https://openalex.org/W2100456966","https://openalex.org/W2106117965","https://openalex.org/W2116087731","https://openalex.org/W2142818506","https://openalex.org/W2150636758","https://openalex.org/W2165693128","https://openalex.org/W2165775468","https://openalex.org/W2171985270","https://openalex.org/W2270320935","https://openalex.org/W2301461885","https://openalex.org/W2327468149","https://openalex.org/W2404750264","https://openalex.org/W2482469685","https://openalex.org/W2615836891","https://openalex.org/W2782362620","https://openalex.org/W2892180720","https://openalex.org/W2892857223","https://openalex.org/W2952046601","https://openalex.org/W2982902350","https://openalex.org/W3011231573","https://openalex.org/W3105558219","https://openalex.org/W3138682964","https://openalex.org/W3143187486","https://openalex.org/W4253347690"],"related_works":["https://openalex.org/W2367195720","https://openalex.org/W1968497507","https://openalex.org/W1998126097","https://openalex.org/W4242016769","https://openalex.org/W1980288485","https://openalex.org/W2009976792","https://openalex.org/W3184075718","https://openalex.org/W2995411114","https://openalex.org/W2004321562","https://openalex.org/W2087658830"],"abstract_inverted_index":{"Many":[0],"discrete":[1],"optimization":[2],"problems":[3,71],"amount":[4],"to":[5,35,42,133,149],"selecting":[6],"a":[7,108,126,166],"feasible":[8,79],"set":[9,52],"of":[10,12,22,28,46,49,53,59,83,88,142],"edges":[11,54],"least":[13],"weight.":[14],"We":[15,66,123,145],"consider":[16],"in":[17,62,139],"this":[18,95],"paper":[19],"the":[20,26,29,44,47,50,56,60,78,113,116,134,140,157,161],"context":[21,141],"spatial":[23],"graphs":[24],"where":[25,115],"positions":[27,58],"vertices":[30,61],"are":[31,72],"uncertain":[32],"and":[33,129,165],"belong":[34],"known":[36],"uncertainty":[37,64],"sets.":[38,65],"The":[39,185],"objective":[40],"is":[41,188],"minimize":[43],"sum":[45],"distances":[48],"chosen":[51],"for":[55,160,177],"worst":[57],"their":[63],"first":[67],"prove":[68],"that":[69],"these":[70],"[Formula:":[73],"see":[74],"text]-hard":[75],"even":[76],"when":[77],"sets":[80],"consist":[81],"either":[82],"all":[84,89],"spanning":[85],"trees":[86],"or":[87],"s":[90],"\u2013":[91],"t":[92],"paths.":[93],"Given":[94],"hardness,":[96],"we":[97],"propose":[98,125],"an":[99],"exact":[100],"solution":[101],"algorithm":[102],"combining":[103],"integer":[104],"programming":[105],"formulations":[106],"with":[107],"cutting":[109],"plane":[110],"algorithm,":[111],"identifying":[112],"cases":[114],"separation":[117],"problem":[118,164],"can":[119],"be":[120],"solved":[121],"efficiently.":[122],"also":[124],"conservative":[127],"approximation":[128,138],"show":[130],"its":[131],"equivalence":[132],"affine":[135],"decision":[136],"rule":[137],"Euclidean":[143],"distances.":[144],"compare":[146],"our":[147],"algorithms":[148],"three":[150],"deterministic":[151],"reformulations":[152],"on":[153],"instances":[154],"inspired":[155],"by":[156,172],"scientific":[158],"literature":[159],"Steiner":[162],"tree":[163],"facility":[167],"location":[168],"problem.":[169],"History:":[170],"Accepted":[171],"David":[173],"Alderson,":[174],"Area":[175],"Editor":[176],"Network":[178],"Optimization:":[179],"Algorithms":[180],"&":[181],"Applications.":[182],"Supplemental":[183],"Material:":[184],"online":[186],"appendix":[187],"available":[189],"at":[190],"https://doi.org/10.1287/ijoc.2023.1276":[191],".":[192]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}