{"id":"https://openalex.org/W2027000450","doi":"https://doi.org/10.1080/10556780802576813","title":"Workload coverage through nonsmooth optimization","display_name":"Workload coverage through nonsmooth optimization","publication_year":2008,"publication_date":"2008-12-02","ids":{"openalex":"https://openalex.org/W2027000450","doi":"https://doi.org/10.1080/10556780802576813","mag":"2027000450"},"language":"en","primary_location":{"id":"doi:10.1080/10556780802576813","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780802576813","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5025234365","display_name":"Nadezda Sukhorukova","orcid":"https://orcid.org/0000-0002-4078-2014"},"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":"Nadezda Sukhorukova","raw_affiliation_strings":["University of Ballarat, Ballarat, Australia","University of Ballarat, Ballarat, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ballarat, Ballarat, Australia","institution_ids":["https://openalex.org/I149672521"]},{"raw_affiliation_string":"University of Ballarat, Ballarat, Australia#TAB#","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059687109","display_name":"Julien Ugon","orcid":"https://orcid.org/0000-0001-5290-8051"},"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":true,"raw_author_name":"Julien Ugon","raw_affiliation_strings":["University of Ballarat, Ballarat, Australia","University of Ballarat, Ballarat, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ballarat, Ballarat, Australia","institution_ids":["https://openalex.org/I149672521"]},{"raw_affiliation_string":"University of Ballarat, Ballarat, Australia#TAB#","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048317892","display_name":"John Yearwood","orcid":"https://orcid.org/0000-0002-7562-6767"},"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":"John Yearwood","raw_affiliation_strings":["University of Ballarat, Ballarat, Australia","University of Ballarat, Ballarat, Australia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ballarat, Ballarat, Australia","institution_ids":["https://openalex.org/I149672521"]},{"raw_affiliation_string":"University of Ballarat, Ballarat, Australia#TAB#","institution_ids":["https://openalex.org/I149672521"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059687109"],"corresponding_institution_ids":["https://openalex.org/I149672521"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12865757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"24","issue":"2","first_page":"285","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9998999834060669,"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":0.9934999942779541,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9886999726295471,"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/workload","display_name":"Workload","score":0.9533431529998779},{"id":"https://openalex.org/keywords/staffing","display_name":"Staffing","score":0.7340234518051147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6973376274108887},{"id":"https://openalex.org/keywords/compromise","display_name":"Compromise","score":0.6138384938240051},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5361098647117615},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4955340623855591},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.458562970161438},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4208183288574219},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4123706817626953},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3952331244945526},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.27576184272766113},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2377694547176361},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14874067902565002},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09728971123695374}],"concepts":[{"id":"https://openalex.org/C2778476105","wikidata":"https://www.wikidata.org/wiki/Q628539","display_name":"Workload","level":2,"score":0.9533431529998779},{"id":"https://openalex.org/C2777512617","wikidata":"https://www.wikidata.org/wiki/Q1783605","display_name":"Staffing","level":2,"score":0.7340234518051147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6973376274108887},{"id":"https://openalex.org/C46355384","wikidata":"https://www.wikidata.org/wiki/Q726686","display_name":"Compromise","level":2,"score":0.6138384938240051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5361098647117615},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4955340623855591},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.458562970161438},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4208183288574219},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4123706817626953},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3952331244945526},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.27576184272766113},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2377694547176361},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14874067902565002},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09728971123695374},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10556780802576813","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556780802576813","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:vital:1807","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/60022","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:dro.deakin.edu.au:DU:30101458","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402457","display_name":"Deakin Research Online (Deakin University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149704539","host_organization_name":"Deakin University","host_organization_lineage":["https://openalex.org/I149704539"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:researchbank.swinburne.edu.au:ee528266-fc4c-4922-8f38-7e0f6727e507/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/264842","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Optimization Methods and Software, Vol. 24, no. 2 (Apr 2009), pp. 285-298","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309018","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1570584007","https://openalex.org/W1769562380","https://openalex.org/W1983078927","https://openalex.org/W1988552575","https://openalex.org/W2011958086","https://openalex.org/W2123696861","https://openalex.org/W2140514941","https://openalex.org/W2145313796"],"related_works":["https://openalex.org/W2801622120","https://openalex.org/W2164141394","https://openalex.org/W4240977217","https://openalex.org/W3036524962","https://openalex.org/W1967649051","https://openalex.org/W2508088450","https://openalex.org/W2389434635","https://openalex.org/W4214750239","https://openalex.org/W2279908259","https://openalex.org/W2130484549"],"abstract_inverted_index":{"In":[0,43],"this":[1],"paper,":[2],"workload":[3,51,85],"coverage":[4,52,86],"is":[5],"the":[6,20,48,88,92,109,114],"problem":[7,49],"of":[8,12,22,50,61,72],"identifying":[9],"a":[10,40,59,80,97],"pattern":[11,30],"days":[13,16],"worked":[14,24],"and":[15,36,87,108],"off,":[17],"along":[18],"with":[19,123],"number":[21,60],"hours":[23],"on":[25,102],"each":[26,71,103],"work":[27],"day.":[28],"This":[29],"must":[31],"satisfy":[32],"certain":[33],"work-related":[34],"constraints":[35],"fit":[37],"best":[38],"to":[39,78,90,120],"predefined":[41],"workload.":[42],"our":[44,75],"study,":[45],"we":[46],"formulate":[47],"as":[53],"an":[54,83],"optimization":[55,94],"problem.":[56],"We":[57],"propose":[58],"models":[62],"which":[63],"take":[64],"into":[65],"consideration":[66],"various":[67],"staffing":[68],"constraints.":[69],"For":[70],"these":[73],"models,":[74],"study":[76],"aims":[77],"find":[79],"compromise":[81],"between":[82],"accurate":[84],"ability":[89],"solve":[91],"corresponding":[93],"problems":[95],"in":[96],"reasonable":[98],"time.":[99],"Numerical":[100],"experiments":[101],"model":[104],"are":[105,111,118],"carried":[106],"out":[107],"results":[110],"presented.":[112],"Interestingly,":[113],"nonlinear":[115],"programming":[116,125],"approaches":[117],"found":[119],"be":[121],"competitive":[122],"linear":[124],"ones.":[126]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
