{"id":"https://openalex.org/W2969352905","doi":"https://doi.org/10.1080/01605682.2019.1639478","title":"A biased-randomised algorithm for the capacitated facility location problem with soft constraints","display_name":"A biased-randomised algorithm for the capacitated facility location problem with soft constraints","publication_year":2019,"publication_date":"2019-08-23","ids":{"openalex":"https://openalex.org/W2969352905","doi":"https://doi.org/10.1080/01605682.2019.1639478","mag":"2969352905"},"language":"en","primary_location":{"id":"doi:10.1080/01605682.2019.1639478","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2019.1639478","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034667032","display_name":"Alejandro Estrada\u2010Moreno","orcid":"https://orcid.org/0000-0001-9767-2177"},"institutions":[{"id":"https://openalex.org/I138847295","display_name":"Universitat Oberta de Catalunya","ror":"https://ror.org/01f5wp925","country_code":"ES","type":"education","lineage":["https://openalex.org/I138847295"]},{"id":"https://openalex.org/I55952717","display_name":"Universitat Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Alejandro Estrada-Moreno","raw_affiliation_strings":["Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili","IN3 \u2013 Computer Science Department, Open University of Catalonia","Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Tarragona, Spain;","IN3 \u2013 Computer Science Department, Open University of Catalonia, Castelldefels, Spain;"],"affiliations":[{"raw_affiliation_string":"Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"IN3 \u2013 Computer Science Department, Open University of Catalonia","institution_ids":["https://openalex.org/I138847295"]},{"raw_affiliation_string":"Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Tarragona, Spain;","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"IN3 \u2013 Computer Science Department, Open University of Catalonia, Castelldefels, Spain;","institution_ids":["https://openalex.org/I138847295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071509262","display_name":"Albert Ferrer","orcid":"https://orcid.org/0000-0002-1005-9570"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Albert Ferrer","raw_affiliation_strings":["Department of Mathematics, Technical University of Catalonia","Department of Mathematics, Technical University of Catalonia, Barcelona, Spain;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Catalonia","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Department of Mathematics, Technical University of Catalonia, Barcelona, Spain;","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080136207","display_name":"\u00c1ngel A. Juan","orcid":"https://orcid.org/0000-0003-1392-1776"},"institutions":[{"id":"https://openalex.org/I138847295","display_name":"Universitat Oberta de Catalunya","ror":"https://ror.org/01f5wp925","country_code":"ES","type":"education","lineage":["https://openalex.org/I138847295"]},{"id":"https://openalex.org/I2799937713","display_name":"Louisiana State University at Eunice","ror":"https://ror.org/04pf12f40","country_code":"US","type":"education","lineage":["https://openalex.org/I2799937713"]}],"countries":["ES","US"],"is_corresponding":false,"raw_author_name":"Angel A. Juan","raw_affiliation_strings":["Euncet Business School","IN3 \u2013 Computer Science Department, Open University of Catalonia","Euncet Business School, Terrassa, Spain;","IN3 \u2013 Computer Science Department, Open University of Catalonia, Castelldefels, Spain;"],"affiliations":[{"raw_affiliation_string":"Euncet Business School","institution_ids":["https://openalex.org/I2799937713"]},{"raw_affiliation_string":"IN3 \u2013 Computer Science Department, Open University of Catalonia","institution_ids":["https://openalex.org/I138847295"]},{"raw_affiliation_string":"Euncet Business School, Terrassa, Spain;","institution_ids":[]},{"raw_affiliation_string":"IN3 \u2013 Computer Science Department, Open University of Catalonia, Castelldefels, Spain;","institution_ids":["https://openalex.org/I138847295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040706121","display_name":"Adil Bagirov","orcid":"https://orcid.org/0000-0003-2075-1699"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Adil Bagirov","raw_affiliation_strings":["School of Science, Engineering and Information Technology, Federation University Australia","School of Science, Engineering and Information Technology, Federation University Australia, Ballarat, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Science, Engineering and Information Technology, Federation University Australia","institution_ids":["https://openalex.org/I149672521"]},{"raw_affiliation_string":"School of Science, Engineering and Information Technology, Federation University Australia, Ballarat, VIC, Australia","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078895046","display_name":"Javier Panadero","orcid":"https://orcid.org/0000-0002-3793-3328"},"institutions":[{"id":"https://openalex.org/I138847295","display_name":"Universitat Oberta de Catalunya","ror":"https://ror.org/01f5wp925","country_code":"ES","type":"education","lineage":["https://openalex.org/I138847295"]},{"id":"https://openalex.org/I2799937713","display_name":"Louisiana State University at Eunice","ror":"https://ror.org/04pf12f40","country_code":"US","type":"education","lineage":["https://openalex.org/I2799937713"]}],"countries":["ES","US"],"is_corresponding":false,"raw_author_name":"Javier Panadero","raw_affiliation_strings":["Euncet Business School","IN3 \u2013 Computer Science Department, Open University of Catalonia","Euncet Business School, Terrassa, Spain;","IN3 \u2013 Computer Science Department, Open University of Catalonia, Castelldefels, Spain;"],"affiliations":[{"raw_affiliation_string":"Euncet Business School","institution_ids":["https://openalex.org/I2799937713"]},{"raw_affiliation_string":"IN3 \u2013 Computer Science Department, Open University of Catalonia","institution_ids":["https://openalex.org/I138847295"]},{"raw_affiliation_string":"Euncet Business School, Terrassa, Spain;","institution_ids":[]},{"raw_affiliation_string":"IN3 \u2013 Computer Science Department, Open University of Catalonia, Castelldefels, Spain;","institution_ids":["https://openalex.org/I138847295"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5034667032"],"corresponding_institution_ids":["https://openalex.org/I138847295","https://openalex.org/I55952717"],"apc_list":null,"apc_paid":null,"fwci":1.9906,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87598414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"71","issue":"11","first_page":"1799","last_page":"1815"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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/T12288","display_name":"Optimization and Search Problems","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6765410304069519},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.6687406301498413},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5968958139419556},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5888272523880005},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.5744162201881409},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5460512638092041},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5307778120040894},{"id":"https://openalex.org/keywords/iterated-local-search","display_name":"Iterated local search","score":0.49578842520713806},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.47336122393608093},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45830491185188293},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.4107622802257538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.313014417886734}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6765410304069519},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.6687406301498413},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5968958139419556},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5888272523880005},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.5744162201881409},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5460512638092041},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5307778120040894},{"id":"https://openalex.org/C124145224","wikidata":"https://www.wikidata.org/wiki/Q6094397","display_name":"Iterated local search","level":3,"score":0.49578842520713806},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.47336122393608093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45830491185188293},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.4107622802257538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.313014417886734},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/01605682.2019.1639478","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01605682.2019.1639478","pdf_url":null,"source":{"id":"https://openalex.org/S169988927","display_name":"Journal of the Operational Research Society","issn_l":"0160-5682","issn":["0160-5682","1476-9360"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319703","host_organization_name":"Palgrave Macmillan","host_organization_lineage":["https://openalex.org/P4310319703","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Palgrave Macmillan","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Operational Research Society","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tjorxx:v:71:y:2020:i:11:p:1799-1815","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/01605682.2019.1639478","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":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W45055622","https://openalex.org/W121773514","https://openalex.org/W179940750","https://openalex.org/W196372924","https://openalex.org/W381492219","https://openalex.org/W979859694","https://openalex.org/W1502125971","https://openalex.org/W1589104353","https://openalex.org/W1740963476","https://openalex.org/W1975355037","https://openalex.org/W1977380994","https://openalex.org/W1979004882","https://openalex.org/W1981943371","https://openalex.org/W1982373167","https://openalex.org/W1983006026","https://openalex.org/W1992428442","https://openalex.org/W1993074566","https://openalex.org/W1993229675","https://openalex.org/W2001576444","https://openalex.org/W2029399988","https://openalex.org/W2030912188","https://openalex.org/W2034340315","https://openalex.org/W2037346764","https://openalex.org/W2039347155","https://openalex.org/W2063834841","https://openalex.org/W2067093916","https://openalex.org/W2070759324","https://openalex.org/W2078286011","https://openalex.org/W2078418832","https://openalex.org/W2080564020","https://openalex.org/W2084221840","https://openalex.org/W2084461063","https://openalex.org/W2088659184","https://openalex.org/W2129146635","https://openalex.org/W2153446897","https://openalex.org/W2155281870","https://openalex.org/W2165422498","https://openalex.org/W2166420930","https://openalex.org/W2287176450","https://openalex.org/W2290769714","https://openalex.org/W2328536951","https://openalex.org/W2386225009","https://openalex.org/W2387094245","https://openalex.org/W2530901329","https://openalex.org/W2567240797","https://openalex.org/W2606195968","https://openalex.org/W2626332724","https://openalex.org/W2769853651","https://openalex.org/W2793986442","https://openalex.org/W2891419543","https://openalex.org/W2911132082","https://openalex.org/W2912095597","https://openalex.org/W2936379222","https://openalex.org/W4231297346","https://openalex.org/W4236632212","https://openalex.org/W4250828313","https://openalex.org/W4252586089","https://openalex.org/W4385738287"],"related_works":["https://openalex.org/W2956833732","https://openalex.org/W1968231253","https://openalex.org/W4327623330","https://openalex.org/W3000379490","https://openalex.org/W2031422533","https://openalex.org/W1557730243","https://openalex.org/W4313891683","https://openalex.org/W2946575292","https://openalex.org/W2123115451","https://openalex.org/W4226042722"],"abstract_inverted_index":{"This":[0],"paper":[1],"analyzes":[2],"the":[3,15,34,54],"single-source":[4],"capacitated":[5],"facility":[6,20],"location":[7],"problem":[8],"(SSCFLP)":[9],"with":[10,33],"soft":[11],"capacity":[12,17],"constraints.":[13],"Hence,":[14],"maximum":[16],"at":[18],"each":[19],"can":[21,44],"be":[22,45],"potentially":[23],"exceed":[24],"by":[25],"incurring":[26],"in":[27],"a":[28,48,52,59,80,89],"penalty":[29,42],"cost,":[30],"which":[31],"increases":[32],"constraint-violation":[35],"gap.":[36],"In":[37],"some":[38],"realistic":[39],"scenarios,":[40],"this":[41,74],"cost":[43],"modelled":[46],"as":[47,88],"piecewise":[49],"function.":[50],"As":[51],"result,":[53],"traditional":[55],"cost-minimization":[56],"objective":[57],"becomes":[58],"non-smooth":[60,75],"function":[61],"that":[62],"is":[63,77,86,97],"difficult":[64],"to":[65,99],"optimise":[66],"using":[67],"exact":[68],"methods.":[69],"A":[70,92],"mathematical":[71],"model":[72],"of":[73,94],"SSCFLP":[76],"provided,":[78],"and":[79,103],"biased-randomized":[81],"iterated":[82],"local":[83],"search":[84],"metaheuristic":[85],"proposed":[87],"solving":[90],"method.":[91],"set":[93],"computational":[95],"experiments":[96],"run":[98],"illustrate":[100],"our":[101],"algorithm":[102],"test":[104],"its":[105],"efficiency.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
