{"id":"https://openalex.org/W1866060861","doi":"https://doi.org/10.1007/3-540-63890-3_42","title":"An efficient approximation scheme for the subset-sum problem","display_name":"An efficient approximation scheme for the subset-sum problem","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1866060861","doi":"https://doi.org/10.1007/3-540-63890-3_42","mag":"1866060861"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-63890-3_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63890-3_42","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/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":["Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, Universit\u00e4tsstra\u00dfe 15, A-8010, Graz, Austria","Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, Universit\u00e4tsstra\u00dfe 15, A-8010, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]},{"raw_affiliation_string":"Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, 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":["Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, Universit\u00e4tsstra\u00dfe 15, A-8010, Graz, Austria","Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, Universit\u00e4tsstra\u00dfe 15, A-8010, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]},{"raw_affiliation_string":"Institut f\u00fcr Statistik, \u00d6konometrie and Operations Research, Universit\u00e4t Graz, Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035146046","display_name":"M. Grazia Speranza","orcid":"https://orcid.org/0000-0002-8893-5227"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maria Grazia Speranza","raw_affiliation_strings":["Dipartimento Metodi Quantitativi Contrada S. Chiara 48/b, I-25122, Brescia, Italy","Dipartimento Metodi Quantitativi Contrada S. Chiara 48/b, Brescia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento Metodi Quantitativi Contrada S. Chiara 48/b, I-25122, Brescia, Italy","institution_ids":[]},{"raw_affiliation_string":"Dipartimento Metodi Quantitativi Contrada S. Chiara 48/b, Brescia, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"394","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9979000091552734,"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":0.9979000091552734,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.9426581859588623},{"id":"https://openalex.org/keywords/polynomial-time-approximation-scheme","display_name":"Polynomial-time approximation scheme","score":0.8647602796554565},{"id":"https://openalex.org/keywords/subset-sum-problem","display_name":"Subset sum problem","score":0.7595252990722656},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.7183592319488525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7025291919708252},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5295893549919128},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5260160565376282},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5173529982566833},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5006623268127441},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4953659772872925},{"id":"https://openalex.org/keywords/continuous-knapsack-problem","display_name":"Continuous knapsack problem","score":0.49160391092300415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.469574898481369},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.22251826524734497},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16871538758277893},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04863077402114868}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.9426581859588623},{"id":"https://openalex.org/C99140742","wikidata":"https://www.wikidata.org/wiki/Q843550","display_name":"Polynomial-time approximation scheme","level":3,"score":0.8647602796554565},{"id":"https://openalex.org/C109275537","wikidata":"https://www.wikidata.org/wiki/Q1154420","display_name":"Subset sum problem","level":3,"score":0.7595252990722656},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.7183592319488525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7025291919708252},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5295893549919128},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5260160565376282},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5173529982566833},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5006623268127441},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4953659772872925},{"id":"https://openalex.org/C94569963","wikidata":"https://www.wikidata.org/wiki/Q5165487","display_name":"Continuous knapsack problem","level":3,"score":0.49160391092300415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.469574898481369},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22251826524734497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16871538758277893},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04863077402114868},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-63890-3_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63890-3_42","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W78507853","https://openalex.org/W1866060861","https://openalex.org/W2026891055","https://openalex.org/W2113195911","https://openalex.org/W2497054205"],"related_works":["https://openalex.org/W3169691842","https://openalex.org/W1990489976","https://openalex.org/W2900218461","https://openalex.org/W2087209118","https://openalex.org/W2352476958","https://openalex.org/W2730861964","https://openalex.org/W2125990029","https://openalex.org/W2041673501","https://openalex.org/W2993365626","https://openalex.org/W2076844787"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}