{"id":"https://openalex.org/W3131354238","doi":"https://doi.org/10.1007/s10288-021-00474-1","title":"Approximation issues of fractional knapsack with penalties: a note","display_name":"Approximation issues of fractional knapsack with penalties: a note","publication_year":2021,"publication_date":"2021-02-23","ids":{"openalex":"https://openalex.org/W3131354238","doi":"https://doi.org/10.1007/s10288-021-00474-1","mag":"3131354238"},"language":"en","primary_location":{"id":"doi:10.1007/s10288-021-00474-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-021-00474-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":"4OR","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/A5023592270","display_name":"Sergey Kovalev","orcid":"https://orcid.org/0000-0001-7708-9806"},"institutions":[{"id":"https://openalex.org/I1339876250","display_name":"Institut National de la Statistique et des Etudes Economiques","ror":"https://ror.org/03v6yxf25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1339876250"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sergey Kovalev","raw_affiliation_strings":["INSEEC School of Business and Economics, INSEEC U. Research Center, 25 rue de l\u2019Universit\u00e9, 69007, Lyon, France","INSEEC School of Business and Economics, INSEEC U. Research Center, Lyon, France"],"affiliations":[{"raw_affiliation_string":"INSEEC School of Business and Economics, INSEEC U. Research Center, 25 rue de l\u2019Universit\u00e9, 69007, Lyon, France","institution_ids":["https://openalex.org/I48430043"]},{"raw_affiliation_string":"INSEEC School of Business and Economics, INSEEC U. Research Center, Lyon, France","institution_ids":["https://openalex.org/I1339876250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023592270"],"corresponding_institution_ids":["https://openalex.org/I1339876250","https://openalex.org/I48430043"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4513,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68445829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"2","first_page":"209","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","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/T12176","display_name":"Optimization and Packing Problems","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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9984999895095825,"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":0.9965999722480774,"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/knapsack-problem","display_name":"Knapsack problem","score":0.9385267496109009},{"id":"https://openalex.org/keywords/polynomial-time-approximation-scheme","display_name":"Polynomial-time approximation scheme","score":0.8216627836227417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7907467484474182},{"id":"https://openalex.org/keywords/continuous-knapsack-problem","display_name":"Continuous knapsack problem","score":0.708929181098938},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5542845726013184},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.548637330532074},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5342271327972412},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5254356265068054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4653077721595764},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2908431887626648},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0873914361000061}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.9385267496109009},{"id":"https://openalex.org/C99140742","wikidata":"https://www.wikidata.org/wiki/Q843550","display_name":"Polynomial-time approximation scheme","level":3,"score":0.8216627836227417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7907467484474182},{"id":"https://openalex.org/C94569963","wikidata":"https://www.wikidata.org/wiki/Q5165487","display_name":"Continuous knapsack problem","level":3,"score":0.708929181098938},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5542845726013184},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.548637330532074},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5342271327972412},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5254356265068054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4653077721595764},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2908431887626648},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0873914361000061},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10288-021-00474-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10288-021-00474-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210191715","display_name":"4OR","issn_l":"1614-2411","issn":["1614-2411","1619-4500"],"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":"4OR","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:aqjoor:v:20:y:2022:i:2:d:10.1007_s10288-021-00474-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10288-021-00474-1","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W139795252","https://openalex.org/W1980803667","https://openalex.org/W1996904066","https://openalex.org/W2004241747","https://openalex.org/W2011039300","https://openalex.org/W2038172102","https://openalex.org/W2068013459","https://openalex.org/W2080390633","https://openalex.org/W2088827022","https://openalex.org/W2123567983","https://openalex.org/W2138886673","https://openalex.org/W2892881076","https://openalex.org/W3098702051"],"related_works":["https://openalex.org/W4288642040","https://openalex.org/W2908214350","https://openalex.org/W3169691842","https://openalex.org/W3166857172","https://openalex.org/W1701984136","https://openalex.org/W2122137596","https://openalex.org/W2060645964","https://openalex.org/W1984121220","https://openalex.org/W1556368910","https://openalex.org/W1601835603"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
