{"id":"https://openalex.org/W2039258038","doi":"https://doi.org/10.1016/0166-218x(92)00125-6","title":"Random knapsacks with many constraints","display_name":"Random knapsacks with many constraints","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2039258038","doi":"https://doi.org/10.1016/0166-218x(92)00125-6","mag":"2039258038"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(92)00125-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(92)00125-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","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/A5016143208","display_name":"Kenneth Schilling","orcid":null},"institutions":[{"id":"https://openalex.org/I4210092198","display_name":"University of Michigan\u2013Flint","ror":"https://ror.org/01c3xc117","country_code":"US","type":"education","lineage":["https://openalex.org/I4210092198"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kenneth Schilling","raw_affiliation_strings":["Department of Mathematics, University of Michigan-Flint, Flint, MI 48503, USA","Department of Mathematics, University of Michigan - Flint, Flint, MI 48503, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan-Flint, Flint, MI 48503, USA","institution_ids":["https://openalex.org/I4210092198"]},{"raw_affiliation_string":"Department of Mathematics, University of Michigan - Flint, Flint, MI 48503, USA","institution_ids":["https://openalex.org/I4210092198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016143208"],"corresponding_institution_ids":["https://openalex.org/I4210092198"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":2.2827,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87117663,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"48","issue":"2","first_page":"163","last_page":"174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9929999709129333,"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":0.9929999709129333,"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":0.992900013923645,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9628999829292297,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8343265056610107},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.8246357440948486},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.536133348941803},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49863386154174805},{"id":"https://openalex.org/keywords/expected-value","display_name":"Expected value","score":0.4679141640663147},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.46373358368873596},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.421600878238678},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35155951976776123},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3328360319137573},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21371880173683167},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0742807388305664}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8343265056610107},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.8246357440948486},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.536133348941803},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49863386154174805},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.4679141640663147},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.46373358368873596},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.421600878238678},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35155951976776123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3328360319137573},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21371880173683167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0742807388305664}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0166-218x(92)00125-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(92)00125-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/31825","is_oa":false,"landing_page_url":"http://hdl.handle.net/2027.42/31825","pdf_url":null,"source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":5,"referenced_works":["https://openalex.org/W1552744309","https://openalex.org/W2024867790","https://openalex.org/W2085163815","https://openalex.org/W2103012681","https://openalex.org/W4233413206"],"related_works":["https://openalex.org/W241127407","https://openalex.org/W2381035939","https://openalex.org/W1521824362","https://openalex.org/W2468477307","https://openalex.org/W2910645127","https://openalex.org/W162895179","https://openalex.org/W3177799343","https://openalex.org/W3119198325","https://openalex.org/W2526245987","https://openalex.org/W2115535739"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}