{"id":"https://openalex.org/W2122637540","doi":"https://doi.org/10.1007/978-3-540-74377-4_4","title":"Linear Programming Relax-PSO Hybrid Bound Algorithm for a Class of Nonlinear Integer Programming Problems","display_name":"Linear Programming Relax-PSO Hybrid Bound Algorithm for a Class of Nonlinear Integer Programming Problems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2122637540","doi":"https://doi.org/10.1007/978-3-540-74377-4_4","mag":"2122637540"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74377-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74377-4_4","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/A5062392764","display_name":"Yuelin Gao","orcid":"https://orcid.org/0000-0003-2021-2097"},"institutions":[{"id":"https://openalex.org/I124644866","display_name":"Northwest Minzu University","ror":"https://ror.org/04cyy9943","country_code":"CN","type":"education","lineage":["https://openalex.org/I124644866"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuelin Gao","raw_affiliation_strings":["Department of Information and Computation Science, Northwest Second National College, Yin Chuan 750021, China","School of Finance and Economics, Xi\u2019an Jiaotong University, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Computation Science, Northwest Second National College, Yin Chuan 750021, China","institution_ids":["https://openalex.org/I124644866"]},{"raw_affiliation_string":"School of Finance and Economics, Xi\u2019an Jiaotong University, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109347076","display_name":"Chengxian Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengxian Xu","raw_affiliation_strings":["School of Finance and Economics, Xi\u2019an Jiaotong University, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","School of Finance and Economics, Xi'an Jiaotong University, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Finance and Economics, Xi\u2019an Jiaotong University, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Finance and Economics, Xi'an Jiaotong University, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081231684","display_name":"Jimin Li","orcid":"https://orcid.org/0000-0002-6773-3458"},"institutions":[{"id":"https://openalex.org/I124644866","display_name":"Northwest Minzu University","ror":"https://ror.org/04cyy9943","country_code":"CN","type":"education","lineage":["https://openalex.org/I124644866"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jimin Li","raw_affiliation_strings":["Department of Information and Computation Science, Northwest Second National College, Yin Chuan 750021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Computation Science, Northwest Second National College, Yin Chuan 750021, China","institution_ids":["https://openalex.org/I124644866"]}]}],"institutions":[],"countries_distinct_count":1,"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":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"29","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9916999936103821,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/branch-and-price","display_name":"Branch and price","score":0.6579720973968506},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6352571249008179},{"id":"https://openalex.org/keywords/criss-cross-algorithm","display_name":"Criss-cross algorithm","score":0.6046483516693115},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.568336009979248},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.5591598153114319},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5415421724319458},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5272111892700195},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5071768760681152},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5010981559753418},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.48920440673828125},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.48689404129981995},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4776564836502075},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.46802574396133423},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4540678858757019},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40893056988716125},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3494349718093872},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3455466330051422}],"concepts":[{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.6579720973968506},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6352571249008179},{"id":"https://openalex.org/C52486349","wikidata":"https://www.wikidata.org/wiki/Q17006040","display_name":"Criss-cross algorithm","level":4,"score":0.6046483516693115},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.568336009979248},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.5591598153114319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5415421724319458},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5272111892700195},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5071768760681152},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5010981559753418},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.48920440673828125},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.48689404129981995},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4776564836502075},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.46802574396133423},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4540678858757019},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40893056988716125},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3494349718093872},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3455466330051422},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-74377-4_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74377-4_4","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":16,"referenced_works":["https://openalex.org/W197491803","https://openalex.org/W1489689765","https://openalex.org/W1499399028","https://openalex.org/W1523445389","https://openalex.org/W1669378206","https://openalex.org/W1821907559","https://openalex.org/W1913207580","https://openalex.org/W1925428099","https://openalex.org/W1968143987","https://openalex.org/W1972087617","https://openalex.org/W2122604873","https://openalex.org/W2125306618","https://openalex.org/W2145113795","https://openalex.org/W2167925113","https://openalex.org/W2505968561","https://openalex.org/W4212864101"],"related_works":["https://openalex.org/W2941986668","https://openalex.org/W2009796757","https://openalex.org/W2024753861","https://openalex.org/W2568448495","https://openalex.org/W2040181397","https://openalex.org/W2010614651","https://openalex.org/W2158727105","https://openalex.org/W2964424355","https://openalex.org/W2134668949","https://openalex.org/W3018597687"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}