{"id":"https://openalex.org/W4408064247","doi":"https://doi.org/10.1007/978-981-96-3506-1_16","title":"Extended Results on\u00a0Analytical Hypervolume Indicator Calculation of\u00a0Linear and\u00a0Quadratic Pareto Fronts","display_name":"Extended Results on\u00a0Analytical Hypervolume Indicator Calculation of\u00a0Linear and\u00a0Quadratic Pareto Fronts","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4408064247","doi":"https://doi.org/10.1007/978-981-96-3506-1_16"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-96-3506-1_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-96-3506-1_16","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":"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/A5077555584","display_name":"Hemant Kumar Singh","orcid":"https://orcid.org/0000-0003-1653-232X"},"institutions":[{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]},{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Hemant Kumar Singh","raw_affiliation_strings":["The University of New South Wales, Canberra ACT, 2600, Australia","University of New South Wales, Canberra, NSW, Australia"],"raw_orcid":"https://orcid.org/0000-0003-1653-232X","affiliations":[{"raw_affiliation_string":"The University of New South Wales, Canberra ACT, 2600, Australia","institution_ids":["https://openalex.org/I188329596"]},{"raw_affiliation_string":"University of New South Wales, Canberra, NSW, Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077555584"],"corresponding_institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11998301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"226","last_page":"241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6973016262054443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6951254606246948},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.682306706905365},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.550966739654541},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5242491364479065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45996859669685364},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.41973111033439636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3508654534816742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23835378885269165},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09284988045692444}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6973016262054443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6951254606246948},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.682306706905365},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.550966739654541},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5242491364479065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45996859669685364},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.41973111033439636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3508654534816742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23835378885269165},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09284988045692444}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-96-3506-1_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-96-3506-1_16","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W144691766","https://openalex.org/W1564638059","https://openalex.org/W1574108783","https://openalex.org/W1846834309","https://openalex.org/W2008049315","https://openalex.org/W2029496228","https://openalex.org/W2038420231","https://openalex.org/W2039686414","https://openalex.org/W2050914643","https://openalex.org/W2085507535","https://openalex.org/W2108968575","https://openalex.org/W2110586983","https://openalex.org/W2143185749","https://openalex.org/W2144982506","https://openalex.org/W2154781286","https://openalex.org/W2156384963","https://openalex.org/W2466060750","https://openalex.org/W2732724468","https://openalex.org/W2746947413","https://openalex.org/W2893653004","https://openalex.org/W2911994132","https://openalex.org/W2921981915","https://openalex.org/W2941114335","https://openalex.org/W2963054067","https://openalex.org/W2999617871","https://openalex.org/W3046910774","https://openalex.org/W3099359198","https://openalex.org/W3155401374","https://openalex.org/W3175111012","https://openalex.org/W4312253456","https://openalex.org/W4362681522","https://openalex.org/W4385355643","https://openalex.org/W4396909818"],"related_works":["https://openalex.org/W1963790170","https://openalex.org/W4318426920","https://openalex.org/W2073298047","https://openalex.org/W2033790662","https://openalex.org/W2090178682","https://openalex.org/W2586328217","https://openalex.org/W2049264236","https://openalex.org/W4241467429","https://openalex.org/W2337862504","https://openalex.org/W2067496256"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}