{"id":"https://openalex.org/W2395067356","doi":"https://doi.org/10.1007/s11590-016-1043-3","title":"Knapsack problem with objective value gaps","display_name":"Knapsack problem with objective value gaps","publication_year":2016,"publication_date":"2016-05-25","ids":{"openalex":"https://openalex.org/W2395067356","doi":"https://doi.org/10.1007/s11590-016-1043-3","mag":"2395067356"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-016-1043-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1043-3","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01315452","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015824343","display_name":"Alexandre Dolgui","orcid":"https://orcid.org/0000-0003-0527-4716"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210117005","display_name":"Laboratoire des Sciences du Num\u00e9rique de Nantes","ror":"https://ror.org/02snf8m58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I4210117005","https://openalex.org/I4210124215","https://openalex.org/I4210127572","https://openalex.org/I4210139971","https://openalex.org/I97188460","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I4210127572","display_name":"IMT Atlantique","ror":"https://ror.org/030hj3061","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127572"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alexander Dolgui","raw_affiliation_strings":["Ecole des Mines de Nantes, CNRS UMR 6597 IRCCYN, La Chantrerie, 4, rue Alfred Kastler, B.P. 20722, 44307, Nantes Cedex 3, France","IMT Atlantique - DAPI - D\u00e9partement Automatique, Productique et Informatique (IMT Atlantique - Campus de Nantes - La Chantrerie - 4, rue Alfred Kastler - CS 20722 - 44307 NANTES Cedex 3  - France)","IMT Atlantique - IMT Atlantique (Campus Brest : Technop\u00f4le Brest-Iroise CS 8381829238 BREST Cedex 3 -\r\nCampus Nantes : 4, rue Alfred Kastler- La chantrerie 44300 NANTES -\r\nCampus Rennes :  2 Rue de la Ch\u00e2taigneraie, 35510 CESSON SEVIGNE - France)","LS2N - \u00e9quipe SLP   - Syst\u00e8mes Logistiques et de Production (France)"],"affiliations":[{"raw_affiliation_string":"Ecole des Mines de Nantes, CNRS UMR 6597 IRCCYN, La Chantrerie, 4, rue Alfred Kastler, B.P. 20722, 44307, Nantes Cedex 3, France","institution_ids":["https://openalex.org/I70768539","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IMT Atlantique - DAPI - D\u00e9partement Automatique, Productique et Informatique (IMT Atlantique - Campus de Nantes - La Chantrerie - 4, rue Alfred Kastler - CS 20722 - 44307 NANTES Cedex 3  - France)","institution_ids":["https://openalex.org/I4210127572"]},{"raw_affiliation_string":"IMT Atlantique - IMT Atlantique (Campus Brest : Technop\u00f4le Brest-Iroise CS 8381829238 BREST Cedex 3 -\r\nCampus Nantes : 4, rue Alfred Kastler- La chantrerie 44300 NANTES -\r\nCampus Rennes :  2 Rue de la Ch\u00e2taigneraie, 35510 CESSON SEVIGNE - France)","institution_ids":["https://openalex.org/I4210127572"]},{"raw_affiliation_string":"LS2N - \u00e9quipe SLP   - Syst\u00e8mes Logistiques et de Production (France)","institution_ids":["https://openalex.org/I97188460","https://openalex.org/I4210117005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049674028","display_name":"Mikhail Y. Kovalyov","orcid":"https://orcid.org/0000-0003-0832-0829"},"institutions":[{"id":"https://openalex.org/I151823869","display_name":"National Academy of Sciences of Belarus","ror":"https://ror.org/02j8pe645","country_code":"BY","type":"government","lineage":["https://openalex.org/I151823869"]},{"id":"https://openalex.org/I4210105192","display_name":"United Institute of Informatics Problems","ror":"https://ror.org/01ccbsb07","country_code":"BY","type":"facility","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210105192","https://openalex.org/I4210116091"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Mikhail Y. Kovalyov","raw_affiliation_strings":["United Institute of Informatics Problems, National Academy of Sciences of Belarus, Minsk, Belarus","NASB - National Academy of Sciences of Belarus (66 Independence Avenue, Minsk BY-220072, Republic of Belarus - Belarus)"],"affiliations":[{"raw_affiliation_string":"United Institute of Informatics Problems, National Academy of Sciences of Belarus, Minsk, Belarus","institution_ids":["https://openalex.org/I4210105192","https://openalex.org/I151823869"]},{"raw_affiliation_string":"NASB - National Academy of Sciences of Belarus (66 Independence Avenue, Minsk BY-220072, Republic of Belarus - Belarus)","institution_ids":["https://openalex.org/I151823869"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106132668","display_name":"Alain Quilliot","orcid":"https://orcid.org/0000-0002-6879-5669"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]},{"id":"https://openalex.org/I4210099416","display_name":"Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes","ror":"https://ror.org/00t3fpp34","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I198244214","https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993","https://openalex.org/I4210099416","https://openalex.org/I4210123221","https://openalex.org/I4210159245","https://openalex.org/I4387154249"]},{"id":"https://openalex.org/I4210104097","display_name":"Institut Sup\u00e9rieur d\u2019Informatique, de Mod\u00e9lisation et de leurs Applications","ror":"https://ror.org/01bv2n867","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210104097"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Quilliot","raw_affiliation_strings":["LIMOS, UMR CNRS 6158, Bat. ISIMA, Universit\u00e9 Blaise Pascal, Campus des C\u00e9zeaux, BP 125, 63173, Aubiere, France","LIMOS - Laboratoire d'Informatique, de Mod\u00e9lisation et d'optimisation des Syst\u00e8mes (B\u00e2t ISIMA Campus des C\u00e9zeaux BP 10025 63173 AUBIERE cedex - France)"],"affiliations":[{"raw_affiliation_string":"LIMOS, UMR CNRS 6158, Bat. ISIMA, Universit\u00e9 Blaise Pascal, Campus des C\u00e9zeaux, BP 125, 63173, Aubiere, France","institution_ids":["https://openalex.org/I4210099416","https://openalex.org/I198244214","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIMOS - Laboratoire d'Informatique, de Mod\u00e9lisation et d'optimisation des Syst\u00e8mes (B\u00e2t ISIMA Campus des C\u00e9zeaux BP 10025 63173 AUBIERE cedex - France)","institution_ids":["https://openalex.org/I4210099416","https://openalex.org/I4210104097"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015824343"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210117005","https://openalex.org/I4210127572","https://openalex.org/I70768539","https://openalex.org/I97188460"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4246,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68808112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"1","first_page":"31","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.996399998664856,"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"}},{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.988099992275238,"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/knapsack-problem","display_name":"Knapsack problem","score":0.9786118268966675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7134078145027161},{"id":"https://openalex.org/keywords/polynomial-time-approximation-scheme","display_name":"Polynomial-time approximation scheme","score":0.653298020362854},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6469709277153015},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.6123286485671997},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6118701100349426},{"id":"https://openalex.org/keywords/continuous-knapsack-problem","display_name":"Continuous knapsack problem","score":0.6091184616088867},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5458803772926331},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5119394063949585},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5065950155258179},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44000935554504395},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4183153510093689},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2946520447731018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1982070803642273},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06359788775444031},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.053822219371795654}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.9786118268966675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7134078145027161},{"id":"https://openalex.org/C99140742","wikidata":"https://www.wikidata.org/wiki/Q843550","display_name":"Polynomial-time approximation scheme","level":3,"score":0.653298020362854},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6469709277153015},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6123286485671997},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6118701100349426},{"id":"https://openalex.org/C94569963","wikidata":"https://www.wikidata.org/wiki/Q5165487","display_name":"Continuous knapsack problem","level":3,"score":0.6091184616088867},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5458803772926331},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5119394063949585},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5065950155258179},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44000935554504395},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4183153510093689},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2946520447731018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1982070803642273},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06359788775444031},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.053822219371795654},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11590-016-1043-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-016-1043-3","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"},{"id":"pmh:oai:HAL:hal-01315452v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01315452","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Optimization Letters, 2017, 11 (1), pp.31-39. &#x27E8;10.1007/s11590-016-1043-3&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01315452v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01315452","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Optimization Letters, 2017, 11 (1), pp.31-39. &#x27E8;10.1007/s11590-016-1043-3&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1524700731","https://openalex.org/W1966579699","https://openalex.org/W1978324910","https://openalex.org/W1986282076","https://openalex.org/W2010669807","https://openalex.org/W2052140946","https://openalex.org/W2058479406","https://openalex.org/W2063245286","https://openalex.org/W2066671865","https://openalex.org/W2079828065","https://openalex.org/W2080525033","https://openalex.org/W2087568862","https://openalex.org/W2109155166","https://openalex.org/W2130626677","https://openalex.org/W2147799577","https://openalex.org/W2952976587","https://openalex.org/W3022397687","https://openalex.org/W3134267570","https://openalex.org/W4236127247"],"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/W1601835603","https://openalex.org/W1556368910"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
