{"id":"https://openalex.org/W7081933569","doi":"https://doi.org/10.1016/j.ejor.2025.08.056","title":"Capacitated facility location problem under uncertainty with service level constraints","display_name":"Capacitated facility location problem under uncertainty with service level constraints","publication_year":2025,"publication_date":"2025-09-13","ids":{"openalex":"https://openalex.org/W7081933569","doi":"https://doi.org/10.1016/j.ejor.2025.08.056"},"language":"en","primary_location":{"id":"doi:10.1016/j.ejor.2025.08.056","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.08.056","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ejor.2025.08.056","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Haoyue Zhang","orcid":"https://orcid.org/0009-0005-9981-6863"},"institutions":[{"id":"https://openalex.org/I4210117017","display_name":"Maxwell Institute for Mathematical Sciences","ror":"https://ror.org/02tsqtg57","country_code":"GB","type":"facility","lineage":["https://openalex.org/I32062511","https://openalex.org/I4210117017","https://openalex.org/I98677209"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Haoyue Zhang","raw_affiliation_strings":["School of Mathematics and Maxwell Institute for Mathematical Sciences, The University of Edinburgh, Edinburgh, EH9 3FD, United Kingdom"],"raw_orcid":"https://orcid.org/0009-0005-9981-6863","affiliations":[{"raw_affiliation_string":"School of Mathematics and Maxwell Institute for Mathematical Sciences, The University of Edinburgh, Edinburgh, EH9 3FD, United Kingdom","institution_ids":["https://openalex.org/I4210117017","https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":null,"display_name":"J\u00f6rg Kalcsics","orcid":"https://orcid.org/0000-0002-5013-3448"},"institutions":[{"id":"https://openalex.org/I4210117017","display_name":"Maxwell Institute for Mathematical Sciences","ror":"https://ror.org/02tsqtg57","country_code":"GB","type":"facility","lineage":["https://openalex.org/I32062511","https://openalex.org/I4210117017","https://openalex.org/I98677209"]},{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J\u00f6rg Kalcsics","raw_affiliation_strings":["School of Mathematics and Maxwell Institute for Mathematical Sciences, The University of Edinburgh, Edinburgh, EH9 3FD, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-5013-3448","affiliations":[{"raw_affiliation_string":"School of Mathematics and Maxwell Institute for Mathematical Sciences, The University of Edinburgh, Edinburgh, EH9 3FD, United Kingdom","institution_ids":["https://openalex.org/I4210117017","https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210117017","https://openalex.org/I98677209"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.57081916,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"330","issue":"1","first_page":"47","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.3402999937534332,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.3402999937534332,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13177","display_name":"Geological and Geophysical Studies","score":0.055399999022483826,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13067","display_name":"Geological Modeling and Analysis","score":0.029600000008940697,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.7069000005722046},{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.6419000029563904},{"id":"https://openalex.org/keywords/service-level","display_name":"Service level","score":0.5297999978065491},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.5123000144958496},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5092999935150146},{"id":"https://openalex.org/keywords/programming-paradigm","display_name":"Programming paradigm","score":0.4251999855041504},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4050000011920929},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.39629998803138733}],"concepts":[{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.7069000005722046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.671999990940094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6513000130653381},{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.6419000029563904},{"id":"https://openalex.org/C181889124","wikidata":"https://www.wikidata.org/wiki/Q380204","display_name":"Service level","level":2,"score":0.5297999978065491},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.5123000144958496},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5092999935150146},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4577000141143799},{"id":"https://openalex.org/C34165917","wikidata":"https://www.wikidata.org/wiki/Q188267","display_name":"Programming paradigm","level":2,"score":0.4251999855041504},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4050000011920929},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.39629998803138733},{"id":"https://openalex.org/C2776608338","wikidata":"https://www.wikidata.org/wiki/Q6664803","display_name":"Location model","level":2,"score":0.39160001277923584},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3499999940395355},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.3488999903202057},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.33160001039505005},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3001999855041504},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C2776299755","wikidata":"https://www.wikidata.org/wiki/Q432449","display_name":"Carry (investment)","level":2,"score":0.28700000047683716},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C58037377","wikidata":"https://www.wikidata.org/wiki/Q92785211","display_name":"Level of service","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.ejor.2025.08.056","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.08.056","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/23e07ef2-04c9-404c-b577-514601678558","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/23e07ef2-04c9-404c-b577-514601678558","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"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":"Zhang, H & Kalcsics, J 2026, 'Capacitated Facility Location Problem under Uncertainty with Service Level Constraints', European Journal of Operational Research, vol. 330, no. 1, pp. 47-71. https://doi.org/10.1016/j.ejor.2025.08.056","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.ed.ac.uk:publications/23e07ef2-04c9-404c-b577-514601678558","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.11820/23e07ef2-04c9-404c-b577-514601678558","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"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":"Zhang, H & Kalcsics, J 2026, 'Capacitated Facility Location Problem under Uncertainty with Service Level Constraints', European Journal of Operational Research, vol. 330, no. 1, pp. 47-71. https://doi.org/10.1016/j.ejor.2025.08.056","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1016/j.ejor.2025.08.056","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.08.056","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320332","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1486206097","https://openalex.org/W1647779468","https://openalex.org/W1752958389","https://openalex.org/W1965605861","https://openalex.org/W1967623040","https://openalex.org/W1977290548","https://openalex.org/W1980214479","https://openalex.org/W1983916623","https://openalex.org/W1993053177","https://openalex.org/W2000953623","https://openalex.org/W2006099964","https://openalex.org/W2044121814","https://openalex.org/W2046018684","https://openalex.org/W2053381857","https://openalex.org/W2083799101","https://openalex.org/W2095809978","https://openalex.org/W2100140125","https://openalex.org/W2102750402","https://openalex.org/W2103491696","https://openalex.org/W2127859636","https://openalex.org/W2143514150","https://openalex.org/W2160232123","https://openalex.org/W2164499670","https://openalex.org/W2165422498","https://openalex.org/W2197817451","https://openalex.org/W2200893885","https://openalex.org/W2522146534","https://openalex.org/W2552792437","https://openalex.org/W2567240797","https://openalex.org/W2759122744","https://openalex.org/W2772695071","https://openalex.org/W2789884919","https://openalex.org/W2793037221","https://openalex.org/W2807783750","https://openalex.org/W2902323712","https://openalex.org/W2969100573","https://openalex.org/W2972759989","https://openalex.org/W2975482321","https://openalex.org/W2997549357","https://openalex.org/W3047112552","https://openalex.org/W3083873786","https://openalex.org/W3123308521","https://openalex.org/W3129737171","https://openalex.org/W3135489276","https://openalex.org/W3193425922","https://openalex.org/W3215777836","https://openalex.org/W3217340312","https://openalex.org/W4282837599","https://openalex.org/W4388581484"],"related_works":[],"abstract_inverted_index":{"Classic":[0],"facility":[1,39],"location":[2],"models":[3,25,186],"often":[4],"assume":[5],"customer":[6],"demands":[7],"to":[8,29,75,84,181],"be":[9,76],"deterministic,":[10],"although":[11],"real-world":[12,175],"demand":[13,74,127],"is":[14,108],"usually":[15],"uncertain,":[16],"especially":[17],"in":[18,135,179],"long-term":[19],"strategic":[20],"planning.":[21],"While":[22],"stochastic":[23,61,137],"programming":[24,62,138],"are":[26,41,133],"widely":[27],"used":[28],"address":[30],"uncertainty,":[31],"the":[32,38,89,106,117,121,125,136,145,183,196],"default":[33],"approach":[34],"of":[35,68,124,185],"ensuring":[36],"that":[37,64,72,115],"capacities":[40],"met":[42],"at":[43],"all":[44],"times,":[45],"i.e.,":[46],"for":[47],"every":[48],"scenario,":[49],"can":[50],"sometimes":[51],"produce":[52],"overly":[53],"conservative":[54],"solutions.":[55],"This":[56],"paper":[57],"presents":[58],"a":[59,66,79,85,97,101,151,155,174],"novel":[60],"model":[63,139],"incorporates":[65],"range":[67],"service":[69,131,189],"level":[70,95,113,190],"restrictions":[71],"allow":[73],"unsatisfied":[77],"with":[78,161,187,195],"certain":[80,86],"probability":[81],"and":[82,100,120,154,173],"up":[83],"amount.":[87],"Concerning":[88],"former,":[90],"we":[91,149],"use":[92],"two":[93,111],"-service":[94,112],"constraints,":[96],"well-known":[98],"local":[99],"new":[102],"global":[103],"constraint,":[104],"while":[105],"latter":[107],"controlled":[109],"through":[110],"constraints":[114],"take":[116],"expected":[118],"value":[119,123],"maximum":[122],"excess":[126],"into":[128],"account.":[129],"The":[130],"levels":[132],"incorporated":[134],"using":[140],"chance":[141],"constraints.":[142],"To":[143],"solve":[144],"model\u2019s":[146],"deterministic":[147],"equivalent,":[148],"implement":[150],"Benders\u2019":[152],"decomposition":[153],"modified":[156],"sample":[157],"average":[158],"approximation":[159],"algorithm":[160],"concentration":[162],"sets.":[163],"We":[164],"carry":[165],"out":[166],"experiments":[167],"on":[168],"randomly":[169],"generated":[170],"data":[171],"sets":[172],"inspired":[176],"case":[177],"study":[178],"Scotland":[180],"compare":[182],"performance":[184],"different":[188],"combinations,":[191],"as":[192,194],"well":[193],"classical":[197],"penalty":[198],"model.":[199]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}