{"id":"https://openalex.org/W1998633209","doi":"https://doi.org/10.1016/s0377-2217(98)90203-x","title":"Approximation methods for non-convex curves","display_name":"Approximation methods for non-convex curves","publication_year":1999,"publication_date":"1999-08-01","ids":{"openalex":"https://openalex.org/W1998633209","doi":"https://doi.org/10.1016/s0377-2217(98)90203-x","mag":"1998633209"},"language":"en","primary_location":{"id":"doi:10.1016/s0377-2217(98)90203-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(98)90203-x","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"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":"European Journal of Operational Research","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/A5100351175","display_name":"Yan Liu","orcid":"https://orcid.org/0000-0003-4242-4840"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Y. Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Curtin University of Technology, PO Box U1987, Perth WA 6845, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Curtin University of Technology, PO Box U1987, Perth WA 6845, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010897184","display_name":"Kok Lay Teo","orcid":"https://orcid.org/0000-0002-5903-7698"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"K.L. Teo","raw_affiliation_strings":["School of Mathematics and Statistics, Curtin University of Technology, PO Box U1987, Perth WA 6845, Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Curtin University of Technology, PO Box U1987, Perth WA 6845, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024523994","display_name":"Xiaoqi Yang","orcid":"https://orcid.org/0000-0002-5583-4032"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"X.Q. Yang","raw_affiliation_strings":["Department of Mathematics, The University of Western Australia, Nedlands, WA 6907, Australia","Department of Mathematics, The University of Western Australia, Nedlands, WA 6907, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Western Australia, Nedlands, WA 6907, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"Department of Mathematics, The University of Western Australia, Nedlands, WA 6907, Australia#TAB#","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100351175"],"corresponding_institution_ids":["https://openalex.org/I205640436"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.15502959,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"117","issue":"1","first_page":"125","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5770701766014099},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.570802628993988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5516817569732666},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5509400367736816},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.508698046207428},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.45947733521461487},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4465197026729584},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4318024814128876},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.428555428981781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3502536118030548},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17419889569282532},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12758022546768188}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5770701766014099},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.570802628993988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5516817569732666},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5509400367736816},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.508698046207428},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.45947733521461487},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4465197026729584},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4318024814128876},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.428555428981781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3502536118030548},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17419889569282532},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12758022546768188},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0377-2217(98)90203-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0377-2217(98)90203-x","pdf_url":null,"source":{"id":"https://openalex.org/S103321696","display_name":"European Journal of Operational Research","issn_l":"0377-2217","issn":["0377-2217","1872-6860"],"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":"European Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:ejores:v:117:y:1999:i:1:p:125-135","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0377-2217(98)90203-X","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W82021033","https://openalex.org/W587169018","https://openalex.org/W1483431698","https://openalex.org/W1837934624","https://openalex.org/W2009348921","https://openalex.org/W2025258469","https://openalex.org/W2079511751","https://openalex.org/W2082160811","https://openalex.org/W2109764733","https://openalex.org/W2158550687","https://openalex.org/W4243858418"],"related_works":["https://openalex.org/W2372403409","https://openalex.org/W4242726756","https://openalex.org/W1517908938","https://openalex.org/W1979328687","https://openalex.org/W144832045","https://openalex.org/W2281834912","https://openalex.org/W2132049714","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W4320486059"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}