{"id":"https://openalex.org/W2011725778","doi":"https://doi.org/10.1007/s11590-015-0870-y","title":"A simple proof technique for scheduling models with learning effects","display_name":"A simple proof technique for scheduling models with learning effects","publication_year":2015,"publication_date":"2015-03-03","ids":{"openalex":"https://openalex.org/W2011725778","doi":"https://doi.org/10.1007/s11590-015-0870-y","mag":"2011725778"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-015-0870-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0870-y","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5063860095","display_name":"Kaiping Luo","orcid":"https://orcid.org/0000-0003-1115-215X"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kaiping Luo","raw_affiliation_strings":["School of Economics and Management, Beihang University, Beijing, 100191, People\u2019s Republic of China","Beihang Univ.#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beihang University, Beijing, 100191, People\u2019s Republic of China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Beihang Univ.#TAB#","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100756074","display_name":"Xinhui Zhang","orcid":"https://orcid.org/0000-0001-9062-1190"},"institutions":[{"id":"https://openalex.org/I19648265","display_name":"Wright State University","ror":"https://ror.org/04qk6pt94","country_code":"US","type":"education","lineage":["https://openalex.org/I19648265"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xinhui Zhang","raw_affiliation_strings":["Department of Biomedical, Industrial and Human Factors Engineering, Wright State University, Dayton, Ohio, 45435, The United States","Wright State University;"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical, Industrial and Human Factors Engineering, Wright State University, Dayton, Ohio, 45435, The United States","institution_ids":["https://openalex.org/I19648265"]},{"raw_affiliation_string":"Wright State University;","institution_ids":["https://openalex.org/I19648265"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063860095"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.1486,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8146812,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"9","issue":"7","first_page":"1411","last_page":"1420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9966999888420105,"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/T11053","display_name":"Process Optimization and Integration","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7906714677810669},{"id":"https://openalex.org/keywords/argumentation-theory","display_name":"Argumentation theory","score":0.6778196096420288},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.580722451210022},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5167331099510193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5051940083503723},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4971983730792999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49717071652412415},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.476187139749527},{"id":"https://openalex.org/keywords/simplicity","display_name":"Simplicity","score":0.4714188277721405},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.44261932373046875},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4118924140930176},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3832505941390991},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36513009667396545},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1867707073688507},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1284971535205841}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7906714677810669},{"id":"https://openalex.org/C65059942","wikidata":"https://www.wikidata.org/wiki/Q270105","display_name":"Argumentation theory","level":2,"score":0.6778196096420288},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.580722451210022},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5167331099510193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5051940083503723},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4971983730792999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49717071652412415},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.476187139749527},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.4714188277721405},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.44261932373046875},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4118924140930176},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3832505941390991},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36513009667396545},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1867707073688507},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1284971535205841},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-015-0870-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-015-0870-y","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1969188246","https://openalex.org/W1971979548","https://openalex.org/W1980111888","https://openalex.org/W1983974888","https://openalex.org/W1985103727","https://openalex.org/W1986898315","https://openalex.org/W1992619970","https://openalex.org/W1992836050","https://openalex.org/W1993829473","https://openalex.org/W2009325499","https://openalex.org/W2013783672","https://openalex.org/W2055993206","https://openalex.org/W2056922879","https://openalex.org/W2061863230","https://openalex.org/W2065391605","https://openalex.org/W2071106071","https://openalex.org/W2074948912","https://openalex.org/W2083590721","https://openalex.org/W2084218187","https://openalex.org/W2090648144"],"related_works":["https://openalex.org/W2368019753","https://openalex.org/W2333930193","https://openalex.org/W2737356002","https://openalex.org/W2246241526","https://openalex.org/W4301122218","https://openalex.org/W250905837","https://openalex.org/W2964303178","https://openalex.org/W2790440978","https://openalex.org/W4300930893","https://openalex.org/W2166855325"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}