{"id":"https://openalex.org/W2770364875","doi":"https://doi.org/10.1007/978-0-387-74759-0_190","title":"Fractional Zero-One Programming","display_name":"Fractional Zero-One Programming","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2770364875","doi":"https://doi.org/10.1007/978-0-387-74759-0_190","mag":"2770364875"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-74759-0_190","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_190","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"},"type":"book-chapter","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/A5057562290","display_name":"Oleg A. Prokopyev","orcid":"https://orcid.org/0000-0003-2888-8630"},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Oleg Prokopyev","raw_affiliation_strings":["Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, USA","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057562290"],"corresponding_institution_ids":["https://openalex.org/I170201317"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.37074722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1091","last_page":"1094"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/zero","display_name":"Zero (linguistics)","score":0.6481573581695557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42497190833091736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3976786732673645},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09418529272079468},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.05641493201255798}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6481573581695557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42497190833091736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3976786732673645},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09418529272079468},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.05641493201255798}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-74759-0_190","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_190","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W91362355","https://openalex.org/W94727826","https://openalex.org/W1560235933","https://openalex.org/W1578073734","https://openalex.org/W1981915376","https://openalex.org/W1983421222","https://openalex.org/W2000958549","https://openalex.org/W2009380504","https://openalex.org/W2011039300","https://openalex.org/W2027029507","https://openalex.org/W2042803872","https://openalex.org/W2044266092","https://openalex.org/W2054058796","https://openalex.org/W2077922822","https://openalex.org/W2088033563","https://openalex.org/W2116612490","https://openalex.org/W4211037896","https://openalex.org/W4253679144"],"related_works":["https://openalex.org/W2080519218","https://openalex.org/W2902563245","https://openalex.org/W2147170865","https://openalex.org/W1554733636","https://openalex.org/W2478770834","https://openalex.org/W2334571699","https://openalex.org/W1997050101","https://openalex.org/W2749254521","https://openalex.org/W2597512059","https://openalex.org/W2603064975"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}