{"id":"https://openalex.org/W2031666601","doi":"https://doi.org/10.1016/s0377-2217(99)00261-1","title":"Approximation algorithms for knapsack problems with cardinality constraints","display_name":"Approximation algorithms for knapsack problems with cardinality constraints","publication_year":2000,"publication_date":"2000-06-01","ids":{"openalex":"https://openalex.org/W2031666601","doi":"https://doi.org/10.1016/s0377-2217(99)00261-1","mag":"2031666601"},"language":"en","primary_location":{"id":"doi:10.1016/s0377-2217(99)00261-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(99)00261-1","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","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/A5011745294","display_name":"Alberto Caprara","orcid":null},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Caprara","raw_affiliation_strings":["DEIS, University of Bologna, viale Risorgimento 2, I-40136 Bologna, Italy","DEIS, University of Bologna, viale Risorgimento 2, I\u201040136 Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DEIS, University of Bologna, viale Risorgimento 2, I-40136 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"DEIS, University of Bologna, viale Risorgimento 2, I\u201040136 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079478965","display_name":"Hans Kellerer","orcid":"https://orcid.org/0000-0001-7618-3956"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Hans Kellerer","raw_affiliation_strings":["Universit\u00e4t Graz, Institut f\u00fcr Statistik und Operations Research, Universit\u00e4tsstr.15, A-8010 Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Graz, Institut f\u00fcr Statistik und Operations Research, Universit\u00e4tsstr.15, A-8010 Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069744603","display_name":"Ulrich Pferschy","orcid":"https://orcid.org/0000-0001-8881-1497"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Ulrich Pferschy","raw_affiliation_strings":["Universit\u00e4t Graz, Institut f\u00fcr Statistik und Operations Research, Universit\u00e4tsstr.15, A-8010 Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Graz, Institut f\u00fcr Statistik und Operations Research, Universit\u00e4tsstr.15, A-8010 Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081910021","display_name":"David Pisinger","orcid":"https://orcid.org/0000-0001-7695-9662"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"David Pisinger","raw_affiliation_strings":["Department of Computer Science, DIKU, University of Copenhagen, Universitetsparken 1, DK-2100 Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, DIKU, University of Copenhagen, Universitetsparken 1, DK-2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081910021"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":19.0405,"has_fulltext":false,"cited_by_count":188,"citation_normalized_percentile":{"value":0.99470277,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"123","issue":"2","first_page":"333","last_page":"345"},"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":0.9973000288009644,"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":0.994700014591217,"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":0.9604934453964233},{"id":"https://openalex.org/keywords/polynomial-time-approximation-scheme","display_name":"Polynomial-time approximation scheme","score":0.8661866188049316},{"id":"https://openalex.org/keywords/continuous-knapsack-problem","display_name":"Continuous knapsack problem","score":0.8487919569015503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6698914170265198},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6673316955566406},{"id":"https://openalex.org/keywords/cutting-stock-problem","display_name":"Cutting stock problem","score":0.6619194746017456},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.6081059575080872},{"id":"https://openalex.org/keywords/change-making-problem","display_name":"Change-making problem","score":0.5422230362892151},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5332322716712952},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4959426820278168},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4616009593009949},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.46060946583747864},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.45726120471954346},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4450426399707794},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.43057310581207275},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.42312443256378174},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.4170913100242615},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3123835325241089},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.29732030630111694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23842567205429077}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.9604934453964233},{"id":"https://openalex.org/C99140742","wikidata":"https://www.wikidata.org/wiki/Q843550","display_name":"Polynomial-time approximation scheme","level":3,"score":0.8661866188049316},{"id":"https://openalex.org/C94569963","wikidata":"https://www.wikidata.org/wiki/Q5165487","display_name":"Continuous knapsack problem","level":3,"score":0.8487919569015503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6698914170265198},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6673316955566406},{"id":"https://openalex.org/C37307619","wikidata":"https://www.wikidata.org/wiki/Q1306230","display_name":"Cutting stock problem","level":3,"score":0.6619194746017456},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6081059575080872},{"id":"https://openalex.org/C17722475","wikidata":"https://www.wikidata.org/wiki/Q3406279","display_name":"Change-making problem","level":4,"score":0.5422230362892151},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5332322716712952},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4959426820278168},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4616009593009949},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.46060946583747864},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.45726120471954346},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4450426399707794},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.43057310581207275},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.42312443256378174},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.4170913100242615},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3123835325241089},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.29732030630111694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23842567205429077},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/s0377-2217(99)00261-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(99)00261-1","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.11.6626","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.6626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.diku.dk/publikationer/tekniske.rapporter/1998/98-4.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.5198","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.5198","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.or.deis.unibo.it/alberto/kkp_fin.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.49.175","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.175","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://promet4.deis.unibo.it/~alberto/kkp_fin.ps","raw_type":"text"},{"id":"pmh:oai:RePEc:eee:ejores:v:123:y:2000:i:2:p:333-345","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0377-2217(99)00261-1","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":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W78507853","https://openalex.org/W1524700731","https://openalex.org/W1542883217","https://openalex.org/W1866060861","https://openalex.org/W1968143987","https://openalex.org/W1976791953","https://openalex.org/W1992439238","https://openalex.org/W1996641400","https://openalex.org/W1997012643","https://openalex.org/W2022841964","https://openalex.org/W2022879050","https://openalex.org/W2026891055","https://openalex.org/W2049252092","https://openalex.org/W2055037276","https://openalex.org/W2061513598","https://openalex.org/W2067500652","https://openalex.org/W2082718338","https://openalex.org/W2089047615","https://openalex.org/W2113195911","https://openalex.org/W2145532166","https://openalex.org/W2155341688","https://openalex.org/W2595833503","https://openalex.org/W4211124581","https://openalex.org/W6606428797"],"related_works":["https://openalex.org/W2889442766","https://openalex.org/W2005493932","https://openalex.org/W2381035939","https://openalex.org/W2412614002","https://openalex.org/W2087209118","https://openalex.org/W4249611560","https://openalex.org/W2122137596","https://openalex.org/W2168163332","https://openalex.org/W2993365626","https://openalex.org/W2994461947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}