{"id":"https://openalex.org/W2025965167","doi":"https://doi.org/10.1007/s10626-009-0061-z","title":"A Subgradient Descent Algorithm for Optimization of Initially Controllable Flow Shop Systems","display_name":"A Subgradient Descent Algorithm for Optimization of Initially Controllable Flow Shop Systems","publication_year":2009,"publication_date":"2009-02-03","ids":{"openalex":"https://openalex.org/W2025965167","doi":"https://doi.org/10.1007/s10626-009-0061-z","mag":"2025965167"},"language":"en","primary_location":{"id":"doi:10.1007/s10626-009-0061-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10626-009-0061-z","pdf_url":null,"source":{"id":"https://openalex.org/S134484881","display_name":"Discrete Event Dynamic Systems","issn_l":"0924-6703","issn":["0924-6703","1573-7594"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Event Dynamic Systems","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/A5082369377","display_name":"Kagan Gokbayrak","orcid":"https://orcid.org/0000-0001-7651-1702"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Kagan Gokbayrak","raw_affiliation_strings":["Department of Industrial Engineering, Bilkent University, Ankara, 06800, Turkey","Department of Industrial Engineering, Bilkent University, Ankara, Turkey 06800"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Bilkent University, Ankara, 06800, Turkey","institution_ids":["https://openalex.org/I168864056"]},{"raw_affiliation_string":"Department of Industrial Engineering, Bilkent University, Ankara, Turkey 06800","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021355500","display_name":"\u00d6mer Selvi","orcid":null},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Omer Selvi","raw_affiliation_strings":["Department of Industrial Engineering, Bilkent University, Ankara, 06800, Turkey","Department of Industrial Engineering, Bilkent University, Ankara, Turkey 06800"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Bilkent University, Ankara, 06800, Turkey","institution_ids":["https://openalex.org/I168864056"]},{"raw_affiliation_string":"Department of Industrial Engineering, Bilkent University, Ankara, Turkey 06800","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082369377"],"corresponding_institution_ids":["https://openalex.org/I168864056"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0241,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91495563,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"2","first_page":"267","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.8863334059715271},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7226239442825317},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.614505410194397},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5533400774002075},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5434080362319946},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.500370979309082},{"id":"https://openalex.org/keywords/flow-shop-scheduling","display_name":"Flow shop scheduling","score":0.4980747699737549},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.49316757917404175},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.47885915637016296},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46710148453712463},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43162792921066284},{"id":"https://openalex.org/keywords/minimum-cost-flow-problem","display_name":"Minimum-cost flow problem","score":0.4286747872829437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4245261549949646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39172130823135376},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.35363003611564636},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.34448373317718506},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.2767714858055115},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.17675095796585083},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12270322442054749}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.8863334059715271},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7226239442825317},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.614505410194397},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5533400774002075},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5434080362319946},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.500370979309082},{"id":"https://openalex.org/C158336966","wikidata":"https://www.wikidata.org/wiki/Q3074426","display_name":"Flow shop scheduling","level":4,"score":0.4980747699737549},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.49316757917404175},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.47885915637016296},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46710148453712463},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43162792921066284},{"id":"https://openalex.org/C99545648","wikidata":"https://www.wikidata.org/wiki/Q2897180","display_name":"Minimum-cost flow problem","level":3,"score":0.4286747872829437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4245261549949646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39172130823135376},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.35363003611564636},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.34448373317718506},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.2767714858055115},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.17675095796585083},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12270322442054749},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10626-009-0061-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10626-009-0061-z","pdf_url":null,"source":{"id":"https://openalex.org/S134484881","display_name":"Discrete Event Dynamic Systems","issn_l":"0924-6703","issn":["0924-6703","1573-7594"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Event Dynamic Systems","raw_type":"journal-article"},{"id":"pmh:oai:repository.bilkent.edu.tr:11693/22738","is_oa":false,"landing_page_url":"http://hdl.handle.net/11693/22738","pdf_url":null,"source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Event Dynamic Systems","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1580078610","https://openalex.org/W1585213982","https://openalex.org/W1587663028","https://openalex.org/W1884041922","https://openalex.org/W2003848856","https://openalex.org/W2081371078","https://openalex.org/W2108460298","https://openalex.org/W2118861595","https://openalex.org/W2122967269","https://openalex.org/W2130543403","https://openalex.org/W2132504306","https://openalex.org/W2150707935","https://openalex.org/W2151225879","https://openalex.org/W2158194234","https://openalex.org/W2561419904","https://openalex.org/W2798766386","https://openalex.org/W2923658402","https://openalex.org/W4242766606","https://openalex.org/W4297744580"],"related_works":["https://openalex.org/W3141113327","https://openalex.org/W2080904092","https://openalex.org/W3035974271","https://openalex.org/W3161514703","https://openalex.org/W4364382936","https://openalex.org/W3207627914","https://openalex.org/W2270959725","https://openalex.org/W2151525839","https://openalex.org/W648253840","https://openalex.org/W2051329268"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}