{"id":"https://openalex.org/W2123272380","doi":"https://doi.org/10.1109/etfa.2009.5347109","title":"Qualitative stability analysis of an optimal balance for an assembly line with fixed stations number","display_name":"Qualitative stability analysis of an optimal balance for an assembly line with fixed stations number","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2123272380","doi":"https://doi.org/10.1109/etfa.2009.5347109","mag":"2123272380"},"language":"en","primary_location":{"id":"doi:10.1109/etfa.2009.5347109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/etfa.2009.5347109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Conference on Emerging Technologies &amp; Factory Automation","raw_type":"proceedings-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/A5060255811","display_name":"Evgeny Gurevsky","orcid":"https://orcid.org/0000-0002-1148-0463"},"institutions":[{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Evgeny Gurevsky","raw_affiliation_strings":["Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, Saint-Etienne, France","Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, 158, cours Fauriel, 42023 C\u00e9dex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, Saint-Etienne, France","institution_ids":["https://openalex.org/I3019848993"]},{"raw_affiliation_string":"Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, 158, cours Fauriel, 42023 C\u00e9dex 2, France","institution_ids":["https://openalex.org/I3019848993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113990618","display_name":"Olga Guschinskaya","orcid":null},"institutions":[{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olga Guschinskaya","raw_affiliation_strings":["Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, Saint-Etienne, France","Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, 158, cours Fauriel, 42023 C\u00e9dex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, Saint-Etienne, France","institution_ids":["https://openalex.org/I3019848993"]},{"raw_affiliation_string":"Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, 158, cours Fauriel, 42023 C\u00e9dex 2, France","institution_ids":["https://openalex.org/I3019848993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015824343","display_name":"Alexandre Dolgui","orcid":"https://orcid.org/0000-0003-0527-4716"},"institutions":[{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandre Dolgui","raw_affiliation_strings":["Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, Saint-Etienne, France","Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, 158, cours Fauriel, 42023 C\u00e9dex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, Saint-Etienne, France","institution_ids":["https://openalex.org/I3019848993"]},{"raw_affiliation_string":"Research Center for Industrial Engineering and Computer Science (G2I), \u00c9cole Nationale Sup\u00e9rieure des Mines de Saint-\u00c9tienne, 158, cours Fauriel, 42023 C\u00e9dex 2, France","institution_ids":["https://openalex.org/I3019848993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3019848993"],"apc_list":null,"apc_paid":null,"fwci":2.2717,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89931172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9998000264167786,"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9998000264167786,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.974399983882904,"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":0.9642999768257141,"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/set","display_name":"Set (abstract data type)","score":0.6426355242729187},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6033814549446106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5396949648857117},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.47679924964904785},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39354684948921204},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39308422803878784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36537662148475647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33808356523513794},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1435619294643402},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08520185947418213}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6426355242729187},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6033814549446106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5396949648857117},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.47679924964904785},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39354684948921204},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39308422803878784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36537662148475647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33808356523513794},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1435619294643402},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08520185947418213},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/etfa.2009.5347109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/etfa.2009.5347109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Conference on Emerging Technologies &amp; Factory Automation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Responsible consumption and production","score":0.5,"id":"https://metadata.un.org/sdg/12"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W79318708","https://openalex.org/W98689640","https://openalex.org/W1968556484","https://openalex.org/W1970485081","https://openalex.org/W1972352442","https://openalex.org/W1974850750","https://openalex.org/W1993646956","https://openalex.org/W1994528233","https://openalex.org/W1997345653","https://openalex.org/W2057798351","https://openalex.org/W2061112448","https://openalex.org/W2104984867","https://openalex.org/W2126583902","https://openalex.org/W2130138066","https://openalex.org/W2151083820","https://openalex.org/W2158558524","https://openalex.org/W2159189906","https://openalex.org/W3149164053","https://openalex.org/W4239314259"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W2066456778","https://openalex.org/W4288278856"],"abstract_inverted_index":{"We":[0],"focus":[1],"on":[2],"one":[3],"of":[4,20,54,70,94,107,110,119,147,151],"the":[5,31,39,46,67,108,148,152],"simple":[6],"assembly":[7,71],"line":[8,47,72],"balancing":[9],"problems":[10],"known":[11],"as":[12],"SALBP-2":[13],"which":[14],"consists":[15],"in":[16,44],"assigning":[17],"a":[18,116],"set":[19,78,155],"elementary":[21],"operations":[22,55,75,86,120,153],"V":[23,63,88],"=":[24,123],"{1,":[25],"2,":[26],"...":[27,134],",":[28,60,128,133,135],"n}":[29],"to":[30,38,98,143],"m":[32],"linearly":[33],"ordered":[34],"stations":[35],"with":[36,141],"respect":[37],"precedence":[40],"constraints":[41],"and":[42,81,101],"aims":[43],"minimizing":[45],"cycle":[48,69],"time":[49],"c.":[50],"The":[51,92],"processing":[52,149],"times":[53,121,150],"t":[56,122,129,136],"<sub":[57,125,130,137],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[58,126,131,138],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">j</sub>":[59],"j":[61],"\u00bf":[62],"may":[64],"vary":[65],"during":[66],"life":[68],"for":[73,84,115],"manual":[74],"(represented":[76],"by":[77],"V\u00bf":[79,90],")":[80,140],"be":[82],"fixed":[83],"automated":[85],"(set":[87],"\\":[89],").":[91],"goal":[93],"this":[95],"paper":[96],"is":[97],"derive":[99],"necessary":[100],"sufficient":[102],"condition":[103],"(so-called":[104],"qualitative":[105],"analysis)":[106],"stability":[109],"an":[111],"optimal":[112],"balance":[113],"found":[114],"given":[117],"vector":[118],"(t":[124],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[127],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[139],"regard":[142],"possible":[144],"independent":[145],"perturbations":[146],"from":[154],".":[156]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}