{"id":"https://openalex.org/W4411488367","doi":"https://doi.org/10.1016/j.ejor.2025.06.006","title":"Nested logic-based Benders decomposition for an integrated home healthcare problem","display_name":"Nested logic-based Benders decomposition for an integrated home healthcare problem","publication_year":2025,"publication_date":"2025-06-20","ids":{"openalex":"https://openalex.org/W4411488367","doi":"https://doi.org/10.1016/j.ejor.2025.06.006"},"language":"en","primary_location":{"id":"doi:10.1016/j.ejor.2025.06.006","doi":"https://doi.org/10.1016/j.ejor.2025.06.006","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.06.006","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,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","fnege-1","jufo-2","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ejor.2025.06.006","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004904934","display_name":"Abdalrahman Algendi","orcid":"https://orcid.org/0000-0002-0740-7968","observed_orcids":["https://orcid.org/0000-0002-0740-7968"]},"institutions":[{"id":"https://openalex.org/I182204967","display_name":"Molde University College","ror":"https://ror.org/00kxjcd28","country_code":"NO","type":"education","lineage":["https://openalex.org/I182204967"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Abdalrahman Algendi","raw_affiliation_strings":["Faculty of Logistics, Molde University College, Norway"],"raw_orcid":"https://orcid.org/0000-0002-0740-7968","affiliations":[{"raw_affiliation_string":"Faculty of Logistics, Molde University College, Norway","institution_ids":["https://openalex.org/I182204967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032052316","display_name":"Sebastian Alberto Urrutia","orcid":"https://orcid.org/0000-0002-7561-6825","observed_orcids":["https://orcid.org/0000-0002-7561-6825"]},"institutions":[{"id":"https://openalex.org/I182204967","display_name":"Molde University College","ror":"https://ror.org/00kxjcd28","country_code":"NO","type":"education","lineage":["https://openalex.org/I182204967"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Sebasti\u00e1n Urrutia","raw_affiliation_strings":["Faculty of Logistics, Molde University College, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Logistics, Molde University College, Norway","institution_ids":["https://openalex.org/I182204967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082786076","display_name":"Lars Magnus Hvattum","orcid":"https://orcid.org/0000-0003-0490-9978","observed_orcids":["https://orcid.org/0000-0003-0490-9978"]},"institutions":[{"id":"https://openalex.org/I182204967","display_name":"Molde University College","ror":"https://ror.org/00kxjcd28","country_code":"NO","type":"education","lineage":["https://openalex.org/I182204967"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Lars Magnus Hvattum","raw_affiliation_strings":["Faculty of Logistics, Molde University College, Norway"],"raw_orcid":"https://orcid.org/0000-0003-0490-9978","affiliations":[{"raw_affiliation_string":"Faculty of Logistics, Molde University College, Norway","institution_ids":["https://openalex.org/I182204967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085289673","display_name":"Rafael A. Melo","orcid":"https://orcid.org/0000-0003-4300-0097","observed_orcids":["https://orcid.org/0000-0003-4300-0097"]},"institutions":[{"id":"https://openalex.org/I126158947","display_name":"Universidade Federal da Bahia","ror":"https://ror.org/03k3p7647","country_code":"BR","type":"education","lineage":["https://openalex.org/I126158947"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rafael A. Melo","raw_affiliation_strings":["Institute of Computing, Universidade Federal da Bahia, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-4300-0097","affiliations":[{"raw_affiliation_string":"Institute of Computing, Universidade Federal da Bahia, Brazil","institution_ids":["https://openalex.org/I126158947"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004904934"],"corresponding_institution_ids":["https://openalex.org/I182204967"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":2.1765,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85836146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"328","issue":"1","first_page":"32","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.8779000043869019,"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"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.8779000043869019,"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/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.05510000139474869,"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/T11773","display_name":"Healthcare Operations and Scheduling Optimization","score":0.031099999323487282,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/home-health-care","display_name":"home health care","score":0.7120000123977661},{"id":"https://openalex.org/keywords/logic-based-benders-decomposition","display_name":"logic-based Benders decomposition","score":0.9300000071525574},{"id":"https://openalex.org/keywords/nested-decomposition","display_name":"nested decomposition","score":0.8640000224113464},{"id":"https://openalex.org/keywords/nurse-assignment","display_name":"nurse assignment","score":0.8399999737739563},{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"vehicle routing","score":0.718999981880188},{"id":"https://openalex.org/keywords/nurse-scheduling","display_name":"nurse scheduling","score":0.6079999804496765},{"id":"https://openalex.org/keywords/integrated-optimization","display_name":"integrated optimization","score":0.5220000147819519},{"id":"https://openalex.org/keywords/mixed-integer-linear-programming","display_name":"mixed-integer linear programming","score":0.8090000152587891}],"concepts":[{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.7372711896896362},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5576954483985901},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5139831900596619},{"id":"https://openalex.org/C160735492","wikidata":"https://www.wikidata.org/wiki/Q31207","display_name":"Health care","level":2,"score":0.44224879145622253},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3879563808441162},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3483694791793823},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.33116939663887024},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3292063772678375},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.23007100820541382},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ejor.2025.06.006","doi":"https://doi.org/10.1016/j.ejor.2025.06.006","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.06.006","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,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","fnege-1","jufo-2","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.ejor.2025.06.006","doi":"https://doi.org/10.1016/j.ejor.2025.06.006","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ejor.2025.06.006","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,"listed_in":["abdc-a-star","anvur-class-a","anvur-scientific","cwts-core","fnege-1","jufo-2","ki-jl-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W186871316","https://openalex.org/W2044121814","https://openalex.org/W2439137874","https://openalex.org/W2464487604","https://openalex.org/W2758393228","https://openalex.org/W2781717235","https://openalex.org/W2886977397","https://openalex.org/W2899136713","https://openalex.org/W2914839814","https://openalex.org/W2914992186","https://openalex.org/W2938697689","https://openalex.org/W3038783628","https://openalex.org/W3125341693","https://openalex.org/W3164729830","https://openalex.org/W3184344845","https://openalex.org/W3194271385","https://openalex.org/W4206838144","https://openalex.org/W4220991023","https://openalex.org/W4224913774","https://openalex.org/W4230045511","https://openalex.org/W4283749729","https://openalex.org/W4309047477","https://openalex.org/W4309400251","https://openalex.org/W4379879455","https://openalex.org/W4385444810","https://openalex.org/W4390937386","https://openalex.org/W4400525995","https://openalex.org/W4402240528","https://openalex.org/W4404046397","https://openalex.org/W4409492769"],"related_works":["https://openalex.org/W2914992186","https://openalex.org/W186871316","https://openalex.org/W2532513511","https://openalex.org/W2464487604","https://openalex.org/W2986913362","https://openalex.org/W2939859590","https://openalex.org/W4306931600","https://openalex.org/W7169762068","https://openalex.org/W2339692025","https://openalex.org/W4409310059"],"abstract_inverted_index":{"In":[0,114],"this":[1],"study,":[2],"we":[3],"apply":[4],"nested":[5,77],"logic-based":[6,63,78],"Benders":[7,64,79],"decomposition":[8,31,80],"to":[9,82,137],"solve":[10],"an":[11],"integrated":[12],"home":[13],"healthcare":[14],"staffing,":[15],"assignment,":[16],"routing,":[17],"and":[18,49,52,105,135],"scheduling":[19,53],"problem":[20,36],"with":[21],"application":[22],"in":[23,91,102,126],"Norway.":[24],"The":[25],"proposed":[26,96],"method":[27,98],"operates":[28],"at":[29],"two":[30,60],"levels.":[32],"Consequently,":[33],"the":[34,43,46,50,73,92,95,110,118,145],"entire":[35],"is":[37],"decomposed":[38],"into":[39],"three":[40],"hierarchical":[41],"sub-problems:":[42],"staffing":[44],"problem,":[45,48],"assignment":[47],"routing":[51],"problem.":[54],"These":[55],"sub-problems":[56],"are":[57],"interrelated":[58],"through":[59],"levels":[61],"of":[62,76],"cuts.":[65],"Computational":[66],"experiments":[67],"on":[68],"40":[69],"test":[70],"instances":[71,104,143],"demonstrate":[72],"superior":[74],"performance":[75],"compared":[81],"directly":[83,116],"solving":[84,117],"a":[85],"mixed-integer":[86,119],"linear":[87,120],"programming":[88,121],"model":[89,122],"available":[90],"literature.":[93],"Specifically,":[94],"solution":[97],"achieved":[99],"proven":[100,124],"optimality":[101,125],"28":[103],"provided":[106,129],"feasible":[107,130,139],"solutions":[108,131,140],"for":[109,132,141],"remaining":[111],"12":[112],"instances.":[113],"contrast,":[115],"yielded":[123],"16":[127],"instances,":[128,134],"20":[133],"failed":[136],"find":[138],"4":[142],"within":[144],"same":[146],"computational":[147],"time":[148],"limit.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}