{"id":"https://openalex.org/W2789842584","doi":"https://doi.org/10.1007/s10878-018-0278-6","title":"Local search approximation algorithms for the k-means problem with penalties","display_name":"Local search approximation algorithms for the k-means problem with penalties","publication_year":2018,"publication_date":"2018-03-19","ids":{"openalex":"https://openalex.org/W2789842584","doi":"https://doi.org/10.1007/s10878-018-0278-6","mag":"2789842584"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-018-0278-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-018-0278-6","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","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/A5112525853","display_name":"Dongmei Zhang","orcid":"https://orcid.org/0000-0001-6548-5078"},"institutions":[{"id":"https://openalex.org/I44445938","display_name":"Shandong Jianzhu University","ror":"https://ror.org/01gbfax37","country_code":"CN","type":"education","lineage":["https://openalex.org/I44445938"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongmei Zhang","raw_affiliation_strings":["School of Computer Science and Technology, Shandong Jianzhu University, Jinan, 250101, People\u2019s Republic of China","School of Computer Science and Technology, Shandong Jianzhu University, Jinan, 250101, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Shandong Jianzhu University, Jinan, 250101, People\u2019s Republic of China","institution_ids":["https://openalex.org/I44445938"]},{"raw_affiliation_string":"School of Computer Science and Technology, Shandong Jianzhu University, Jinan, 250101, People's Republic of China","institution_ids":["https://openalex.org/I44445938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024823931","display_name":"Chunlin Hao","orcid":"https://orcid.org/0000-0002-6262-3516"},"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":"Chunlin Hao","raw_affiliation_strings":["Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People\u2019s Republic of China","Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People's Republic of China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017312793","display_name":"Chenchen Wu","orcid":"https://orcid.org/0000-0002-6742-8816"},"institutions":[{"id":"https://openalex.org/I136765683","display_name":"Tianjin University of Technology","ror":"https://ror.org/00zbe0w13","country_code":"CN","type":"education","lineage":["https://openalex.org/I136765683"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenchen Wu","raw_affiliation_strings":["College of Science, Tianjin University of Technology, Tianjin, 300384, People\u2019s Republic of China","College of Science, Tianjin University of Technology, Tianjin, 300384, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Tianjin University of Technology, Tianjin, 300384, People\u2019s Republic of China","institution_ids":["https://openalex.org/I136765683"]},{"raw_affiliation_string":"College of Science, Tianjin University of Technology, Tianjin, 300384, People's Republic of China","institution_ids":["https://openalex.org/I136765683"]}]},{"author_position":"middle","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":true,"raw_author_name":"Dachuan Xu","raw_affiliation_strings":["Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People\u2019s Republic of China","Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People's Republic of China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101600996","display_name":"Zhenning Zhang","orcid":"https://orcid.org/0000-0001-5989-3593"},"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":"Zhenning Zhang","raw_affiliation_strings":["Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People\u2019s Republic of China","Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Department of Information and Operations Research, College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, People's Republic of China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100341936"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.6014,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.9329455,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"37","issue":"2","first_page":"439","last_page":"453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9994999766349792,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9972000122070312,"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":0.991599977016449,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6986198425292969},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6935254335403442},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.6386197805404663},{"id":"https://openalex.org/keywords/swap","display_name":"Swap (finance)","score":0.6364486217498779},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6075373888015747},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5522735118865967},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.43747401237487793},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.41666221618652344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39469367265701294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3684347867965698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19910487532615662}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6986198425292969},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6935254335403442},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.6386197805404663},{"id":"https://openalex.org/C99821215","wikidata":"https://www.wikidata.org/wiki/Q1136583","display_name":"Swap (finance)","level":2,"score":0.6364486217498779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6075373888015747},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5522735118865967},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.43747401237487793},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.41666221618652344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39469367265701294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3684347867965698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19910487532615662},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-018-0278-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-018-0278-6","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:37:y:2019:i:2:d:10.1007_s10878-018-0278-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-018-0278-6","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":[{"score":0.6100000143051147,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G5016640702","display_name":null,"funder_award_id":"11501412","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5375706864","display_name":"\u7f51\u7edc\u73af\u5883\u4e0b\u7684\u65b0\u578b\u7ec4\u5408\u4f18\u5316\u95ee\u9898\u7814\u7a76","funder_award_id":"11531014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1854155592","https://openalex.org/W1927951443","https://openalex.org/W1998905999","https://openalex.org/W2003207175","https://openalex.org/W2003719999","https://openalex.org/W2062310236","https://openalex.org/W2085751730","https://openalex.org/W2086959852","https://openalex.org/W2103718624","https://openalex.org/W2109014721","https://openalex.org/W2139841919","https://openalex.org/W2150593711","https://openalex.org/W2199495299","https://openalex.org/W2343942810","https://openalex.org/W2521482842","https://openalex.org/W2565644440","https://openalex.org/W2963576481","https://openalex.org/W3162678658","https://openalex.org/W4213375714","https://openalex.org/W4236385439"],"related_works":["https://openalex.org/W614339039","https://openalex.org/W3162204513","https://openalex.org/W4230893873","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2079849989","https://openalex.org/W2032550399","https://openalex.org/W2057791178"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}