{"id":"https://openalex.org/W3137179322","doi":"https://doi.org/10.1051/ro/2021043","title":"An optimal solution for the budgets assignment problem","display_name":"An optimal solution for the budgets assignment problem","publication_year":2021,"publication_date":"2021-03-01","ids":{"openalex":"https://openalex.org/W3137179322","doi":"https://doi.org/10.1051/ro/2021043","mag":"3137179322"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2021043","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021043","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/03/ro190087.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/03/ro190087.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028864291","display_name":"Mahdi Jemmali","orcid":"https://orcid.org/0000-0003-3462-8739"},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]},{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]},{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["SA","TN"],"is_corresponding":true,"raw_author_name":"Mahdi Jemmali","raw_affiliation_strings":["Department of Computer Science and Information, College of Science at Zulfi, Majmaah University, Majmaah 11952, Saudi Arabia","Department of Computer Science, Higher institute of computer Science and mathematics, University of Monastir, Monastir 5000, Tunisia","MARS Laboratory, University of Sousse, Sousse, Tunisia"],"raw_orcid":"https://orcid.org/0000-0003-3462-8739","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information, College of Science at Zulfi, Majmaah University, Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]},{"raw_affiliation_string":"Department of Computer Science, Higher institute of computer Science and mathematics, University of Monastir, Monastir 5000, Tunisia","institution_ids":["https://openalex.org/I166928557"]},{"raw_affiliation_string":"MARS Laboratory, University of Sousse, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028864291"],"corresponding_institution_ids":["https://openalex.org/I166928557","https://openalex.org/I195631090","https://openalex.org/I8636806"],"apc_list":null,"apc_paid":null,"fwci":4.8352,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.95335575,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"55","issue":"2","first_page":"873","last_page":"897"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9979000091552734,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9979000091552734,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.994700014591217,"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/T12546","display_name":"Smart Parking Systems Research","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/heuristics","display_name":"Heuristics","score":0.8668500185012817},{"id":"https://openalex.org/keywords/equity","display_name":"Equity (law)","score":0.677647590637207},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5427783131599426},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.48641419410705566},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.47278499603271484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45186761021614075},{"id":"https://openalex.org/keywords/strategic-planning","display_name":"Strategic planning","score":0.419162392616272},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.40540117025375366},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36380404233932495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19253358244895935},{"id":"https://openalex.org/keywords/marketing","display_name":"Marketing","score":0.13774573802947998},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.13569536805152893}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.8668500185012817},{"id":"https://openalex.org/C199728807","wikidata":"https://www.wikidata.org/wiki/Q2578557","display_name":"Equity (law)","level":2,"score":0.677647590637207},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5427783131599426},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.48641419410705566},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.47278499603271484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45186761021614075},{"id":"https://openalex.org/C48243021","wikidata":"https://www.wikidata.org/wiki/Q932522","display_name":"Strategic planning","level":2,"score":0.419162392616272},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.40540117025375366},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36380404233932495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19253358244895935},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.13774573802947998},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.13569536805152893},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2021043","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021043","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/03/ro190087.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ro/2021043","is_oa":true,"landing_page_url":null,"pdf_url":"https://www.rairo-ro.org/10.1051/ro/2021043/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ro/2021043","raw_type":"Text"},{"id":"pmh:oai:numdam.org:RO_2021__55_2_873_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2021043/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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"}],"best_oa_location":{"id":"doi:10.1051/ro/2021043","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2021043","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2021/03/ro190087.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G7385510133","display_name":null,"funder_award_id":"RGP-2019-13","funder_id":"https://openalex.org/F4320324553","funder_display_name":"Majmaah University"}],"funders":[{"id":"https://openalex.org/F4320324553","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3137179322.pdf","grobid_xml":"https://content.openalex.org/works/W3137179322.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W159308319","https://openalex.org/W964861289","https://openalex.org/W1566552089","https://openalex.org/W1572089375","https://openalex.org/W1589482994","https://openalex.org/W2009217405","https://openalex.org/W2011571669","https://openalex.org/W2044474025","https://openalex.org/W2046340429","https://openalex.org/W2079141386","https://openalex.org/W2086102640","https://openalex.org/W2087245794","https://openalex.org/W2105222081","https://openalex.org/W2156293131","https://openalex.org/W2339014329","https://openalex.org/W2576116471","https://openalex.org/W2949443981","https://openalex.org/W2978312795","https://openalex.org/W2980256517","https://openalex.org/W2993646403","https://openalex.org/W3035082290","https://openalex.org/W3046302790"],"related_works":["https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W2401723157","https://openalex.org/W2952904874","https://openalex.org/W4297690216","https://openalex.org/W4389302559","https://openalex.org/W1690653314"],"abstract_inverted_index":{"Municipalities":[0],"are":[1,141],"service":[2],"organizations":[3],"that":[4,15,37,72],"have":[5,32,75],"a":[6,86,102],"major":[7],"role":[8,67],"in":[9,125,143],"strategic":[10,78],"planning":[11],"and":[12,20,35,44,119,137],"community":[13,41],"development":[14],"consider":[16],"the":[17,59,76,126,132,138,144],"future":[18],"changes":[19],"society":[21],"developments,":[22],"by":[23],"implementing":[24],"set":[25,87],"of":[26,52,61,88,131],"projects":[27,54,89,97],"with":[28,90,101],"pre-allocated":[29],"budgets.":[30],"Projects":[31],"standards,":[33],"budgets":[34],"constraints":[36],"differ":[38],"from":[39,45],"one":[40,46],"to":[42,48,55,64,94,98,122],"another":[43],"city":[47],"another.":[49],"Fair":[50],"distributing":[51],"different":[53,91],"municipalities,":[56,113],"while":[57],"ensuring":[58],"provision":[60],"various":[62],"capabilities":[63],"reach":[65],"developmental":[66],"is":[68,82],"NP-Hard":[69],"problem.":[70],"Assuming":[71],"all":[73,96,99],"municipalities":[74,100],"same":[77],"characteristics.":[79],"The":[80,129],"problem":[81],"as":[83],"follows:":[84],"given":[85],"budgets,":[92],"how":[93],"distribute":[95],"minimum":[103],"budget":[104],"gap":[105],"between":[106,112],"municipalities.":[107],"To":[108],"derive":[109],"equity":[110],"distribution":[111],"this":[114],"paper":[115],"developed":[116,133],"lower":[117,135],"bounds":[118,136],"eleven":[120],"heuristics":[121],"be":[123],"utilized":[124],"branch-and-bound":[127],"algorithms.":[128],"performance":[130],"heuristics,":[134],"exact":[139],"solutions":[140],"presented":[142],"experimental":[145],"study.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
