{"id":"https://openalex.org/W4416894272","doi":"https://doi.org/10.1007/s10287-025-00550-5","title":"Solving a multi-horizon stochastic facility location problem with capacity expansion","display_name":"Solving a multi-horizon stochastic facility location problem with capacity expansion","publication_year":2025,"publication_date":"2025-12-02","ids":{"openalex":"https://openalex.org/W4416894272","doi":"https://doi.org/10.1007/s10287-025-00550-5"},"language":"en","primary_location":{"id":"doi:10.1007/s10287-025-00550-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-025-00550-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-025-00550-5.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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":"Computational Management Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10287-025-00550-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"\u0160\u00e1rka \u0160t\u00e1dlerov\u00e1","orcid":"https://orcid.org/0000-0003-3879-7361"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"\u0160\u00e1rka \u0160t\u00e1dlerov\u00e1","raw_affiliation_strings":["Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway"],"raw_orcid":"https://orcid.org/0000-0003-3879-7361","affiliations":[{"raw_affiliation_string":"Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071724612","display_name":"Peter Sch\u00fctz","orcid":"https://orcid.org/0000-0002-9466-0354"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Peter Sch\u00fctz","raw_affiliation_strings":["Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway"],"raw_orcid":"https://orcid.org/0000-0002-9466-0354","affiliations":[{"raw_affiliation_string":"Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116569680","display_name":"Ivar Refsdal","orcid":null},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Ivar Refsdal","raw_affiliation_strings":["Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116569681","display_name":"Tobias Spinnangr Sindre","orcid":null},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Tobias Spinnangr Sindre","raw_affiliation_strings":["Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Economics and Technology Management, Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055812091","display_name":"Franti\u0161ek Kolovsk\u00fd","orcid":"https://orcid.org/0000-0002-2070-5871"},"institutions":[{"id":"https://openalex.org/I4210113757","display_name":"University Hospital Plzen","ror":"https://ror.org/02c1tfz23","country_code":"CZ","type":"healthcare","lineage":["https://openalex.org/I4210113757"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Franti\u0161ek Kolovsk\u00fd","raw_affiliation_strings":["RoadTwin s.r.o., Plze\u0148, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-2070-5871","affiliations":[{"raw_affiliation_string":"RoadTwin s.r.o., Plze\u0148, Czech Republic","institution_ids":["https://openalex.org/I4210113757"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204778367"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42773113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9412999749183655,"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":0.9412999749183655,"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":0.015200000256299973,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.012799999676644802,"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/facility-location-problem","display_name":"Facility location problem","score":0.8169000148773193},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.7278000116348267},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.7168999910354614},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.638700008392334},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4993000030517578},{"id":"https://openalex.org/keywords/location-model","display_name":"Location model","score":0.4564000070095062},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.3691999912261963},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.3610000014305115}],"concepts":[{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.8169000148773193},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.7278000116348267},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.7168999910354614},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7085000276565552},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.638700008392334},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6309999823570251},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4993000030517578},{"id":"https://openalex.org/C2776608338","wikidata":"https://www.wikidata.org/wiki/Q6664803","display_name":"Location model","level":2,"score":0.4564000070095062},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.37130001187324524},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.3691999912261963},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3610000014305115},{"id":"https://openalex.org/C50524431","wikidata":"https://www.wikidata.org/wiki/Q4545814","display_name":"1-center problem","level":3,"score":0.33070001006126404},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3294000029563904},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.3269999921321869},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.3199999928474426},{"id":"https://openalex.org/C182299520","wikidata":"https://www.wikidata.org/wiki/Q1289588","display_name":"Total cost","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C2777909354","wikidata":"https://www.wikidata.org/wiki/Q1386523","display_name":"Production planning","level":3,"score":0.28290000557899475},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.27889999747276306}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10287-025-00550-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-025-00550-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-025-00550-5.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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":"Computational Management Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10287-025-00550-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10287-025-00550-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10287-025-00550-5.pdf","source":{"id":"https://openalex.org/S28822639","display_name":"Computational Management Science","issn_l":"1619-697X","issn":["1619-697X","1619-6988"],"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":"Computational Management Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311040","display_name":"Norges Teknisk-Naturvitenskapelige Universitet","ror":"https://ror.org/05xg72x27"},{"id":"https://openalex.org/F4320327267","display_name":"St. Olavs Hospital Universitetssykehuset i Trondheim","ror":"https://ror.org/01a4hbq44"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416894272.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W27142857","https://openalex.org/W1569990960","https://openalex.org/W1881614784","https://openalex.org/W1948965050","https://openalex.org/W1977953708","https://openalex.org/W1983610497","https://openalex.org/W1996040720","https://openalex.org/W2041085006","https://openalex.org/W2054747815","https://openalex.org/W2060789779","https://openalex.org/W2091630182","https://openalex.org/W2103491696","https://openalex.org/W2116725038","https://openalex.org/W2164189122","https://openalex.org/W2604526922","https://openalex.org/W2612103136","https://openalex.org/W2804379700","https://openalex.org/W2805479295","https://openalex.org/W2942925903","https://openalex.org/W2984657343","https://openalex.org/W2990799246","https://openalex.org/W3122571405","https://openalex.org/W3173726695","https://openalex.org/W3201384330","https://openalex.org/W4200171285","https://openalex.org/W4210984170","https://openalex.org/W4238140901","https://openalex.org/W4247823870","https://openalex.org/W4295837891","https://openalex.org/W4322735896","https://openalex.org/W4362635884","https://openalex.org/W4385995103","https://openalex.org/W4386893212","https://openalex.org/W4396813443","https://openalex.org/W4412447457"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Motivated":[1],"by":[2],"the":[3,19,42,61,72,122,149,156,179],"real-world":[4,157],"problem":[5,33,158],"of":[6,21,45,63,159],"locating":[7,160],"hydrogen":[8,161],"production":[9,14,47,97,102,162],"facilities":[10],"and":[11,23,48,116,126,138],"assessing":[12],"different":[13,106],"technologies":[15,103],"which":[16],"differ":[17],"in":[18,95,118,163],"flexibility":[20],"operations":[22],"costs,":[24],"we":[25,124],"study":[26],"a":[27,114,134,142],"multi-stage":[28],"multi-horizon":[29,56],"stochastic":[30],"facility":[31],"location":[32,73,115],"with":[34,133,141],"capacity":[35],"expansion.":[36],"The":[37,55,165],"objective":[38],"is":[39,77,87],"to":[40,59,79,89,152],"minimize":[41],"expected":[43],"sum":[44],"investment,":[46],"distribution":[49],"costs":[50],"while":[51,84],"satisfying":[52],"customer":[53],"demand.":[54],"formulation":[57],"allows":[58],"capture":[60],"effects":[62],"both":[64,169],"strategic":[65],"as":[66,68],"well":[67],"operational":[69,85,107],"uncertainty":[70,76,86],"on":[71,155],"decisions.":[74],"Strategic":[75],"related":[78,88],"uncertain":[80,90,96],"future":[81,91],"demand":[82],"level,":[83],"electricity":[92],"prices":[93],"resulting":[94],"costs.":[98],"We":[99,147],"consider":[100],"multiple":[101],"that":[104,168],"have":[105],"characteristics,":[108],"but":[109,178],"can":[110,171,183],"be":[111],"combined":[112],"at":[113],"operated":[117],"parallel.":[119],"To":[120],"solve":[121],"problem,":[123],"implement":[125],"compare":[127],"two":[128],"solution":[129,150,181],"methods:":[130],"linear":[131],"relaxation":[132,140],"restricted":[135,144],"MIP":[136,145],"approach":[137],"Lagrangian":[139],"two-step":[143],"approach.":[146],"apply":[148],"approaches":[151,170],"instances":[153],"based":[154],"Norway.":[164],"results":[166],"show":[167],"find":[172,185],"near-optimal":[173],"solutions":[174,187],"for":[175,188],"small":[176],"instances,":[177],"Lagrangian-based":[180],"method":[182],"also":[184],"high-quality":[186],"larger":[189],"instances.":[190]},"counts_by_year":[],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-12-02T00:00:00"}