{"id":"https://openalex.org/W1489978714","doi":"https://doi.org/10.1007/978-3-642-14355-7_26","title":"A Primal-Dual Approximation Algorithm for the k-Level Stochastic Facility Location Problem","display_name":"A Primal-Dual Approximation Algorithm for the k-Level Stochastic Facility Location Problem","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1489978714","doi":"https://doi.org/10.1007/978-3-642-14355-7_26","mag":"1489978714"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-14355-7_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14355-7_26","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/A5100422377","display_name":"Zhen Wang","orcid":"https://orcid.org/0000-0002-8182-2852"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Wang","raw_affiliation_strings":["Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, P.R. China","Department of Applied Mathematics, Beijing University of Technology, Beijing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, P.R. China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Department of Applied Mathematics, Beijing University of Technology, Beijing, P.R. China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085441311","display_name":"Donglei Du","orcid":"https://orcid.org/0000-0003-0111-8572"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Donglei Du","raw_affiliation_strings":["Faculty of Business Administration, University of New Brunswick, Fredericton, NB, Canada, E3B 5A3","Faculty of business administration, University of New Brunswick, Fredericton, NB, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Business Administration, University of New Brunswick, Fredericton, NB, Canada, E3B 5A3","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"Faculty of business administration, University of New Brunswick, Fredericton, NB, Canada","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100341936","display_name":"Dachuan Xu","orcid":"https://orcid.org/0000-0002-7846-0969"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dachuan Xu","raw_affiliation_strings":["Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, P.R. China","Department of Applied Mathematics, Beijing University of Technology, Beijing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, P.R. China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Department of Applied Mathematics, Beijing University of Technology, Beijing, P.R. China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"253","last_page":"260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9921000003814697,"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/T12288","display_name":"Optimization and Search Problems","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.8685507774353027},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.7468675374984741},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.6762163639068604},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5689558982849121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5688523054122925},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5185147523880005},{"id":"https://openalex.org/keywords/1-center-problem","display_name":"1-center problem","score":0.5059475302696228},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37430837750434875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3657800853252411}],"concepts":[{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.8685507774353027},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.7468675374984741},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.6762163639068604},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5689558982849121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5688523054122925},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5185147523880005},{"id":"https://openalex.org/C50524431","wikidata":"https://www.wikidata.org/wiki/Q4545814","display_name":"1-center problem","level":3,"score":0.5059475302696228},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37430837750434875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3657800853252411},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-14355-7_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14355-7_26","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1549141047","https://openalex.org/W1560324410","https://openalex.org/W1973529814","https://openalex.org/W1978117135","https://openalex.org/W1980420366","https://openalex.org/W1987503114","https://openalex.org/W2011226162","https://openalex.org/W2019875157","https://openalex.org/W2052494364","https://openalex.org/W2053751186","https://openalex.org/W2057974767","https://openalex.org/W2068024426","https://openalex.org/W2072770591","https://openalex.org/W2074048915","https://openalex.org/W2076746184","https://openalex.org/W2077202621","https://openalex.org/W2101622070","https://openalex.org/W2109353682","https://openalex.org/W2112058494","https://openalex.org/W2136214397","https://openalex.org/W2139841919","https://openalex.org/W2177090493","https://openalex.org/W2286452808","https://openalex.org/W2769481137","https://openalex.org/W2906874184","https://openalex.org/W2988480584","https://openalex.org/W3136436047","https://openalex.org/W3148765228","https://openalex.org/W4213375714","https://openalex.org/W4243637616","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W276709744","https://openalex.org/W2074682523","https://openalex.org/W2006514056","https://openalex.org/W4248426730","https://openalex.org/W4385597667","https://openalex.org/W2173317315","https://openalex.org/W2476148062","https://openalex.org/W1509863433","https://openalex.org/W1516365398","https://openalex.org/W1489978714"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}