{"id":"https://openalex.org/W1971084192","doi":"https://doi.org/10.1007/s00500-014-1279-8","title":"Hybrid Max\u2013Min ant system with four vertices and three lines inequality for traveling salesman problem","display_name":"Hybrid Max\u2013Min ant system with four vertices and three lines inequality for traveling salesman problem","publication_year":2014,"publication_date":"2014-04-12","ids":{"openalex":"https://openalex.org/W1971084192","doi":"https://doi.org/10.1007/s00500-014-1279-8","mag":"1971084192"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-014-1279-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-014-1279-8","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/A5059865827","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0003-4029-4018"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wang Yong","raw_affiliation_strings":["School of Renewable Energy, North China Electric Power University, Beijing\u00a0, 102206, China","School of Renewable Energy, North China Electric Power University, Beijing , China 102206#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Renewable Energy, North China Electric Power University, Beijing\u00a0, 102206, China","institution_ids":["https://openalex.org/I153473198"]},{"raw_affiliation_string":"School of Renewable Energy, North China Electric Power University, Beijing , China 102206#TAB#","institution_ids":["https://openalex.org/I153473198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059865827"],"corresponding_institution_ids":["https://openalex.org/I153473198"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.8502,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.96292181,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"19","issue":"3","first_page":"585","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.996999979019165,"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/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.9367350339889526},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6318984627723694},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.5892734527587891},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5498195290565491},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5330356955528259},{"id":"https://openalex.org/keywords/ant-colony-optimization-algorithms","display_name":"Ant colony optimization algorithms","score":0.5222421884536743},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36028000712394714},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3364490270614624},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06209874153137207}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.9367350339889526},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6318984627723694},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.5892734527587891},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5498195290565491},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5330356955528259},{"id":"https://openalex.org/C40128228","wikidata":"https://www.wikidata.org/wiki/Q460851","display_name":"Ant colony optimization algorithms","level":2,"score":0.5222421884536743},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36028000712394714},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3364490270614624},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06209874153137207}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-014-1279-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-014-1279-8","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":43,"referenced_works":["https://openalex.org/W268194639","https://openalex.org/W830420308","https://openalex.org/W1530490667","https://openalex.org/W1535289002","https://openalex.org/W1571087346","https://openalex.org/W1573676079","https://openalex.org/W1927341089","https://openalex.org/W1933569933","https://openalex.org/W1965255372","https://openalex.org/W1973375522","https://openalex.org/W1974579840","https://openalex.org/W1975781185","https://openalex.org/W1976897755","https://openalex.org/W1993747225","https://openalex.org/W1998414344","https://openalex.org/W2007192625","https://openalex.org/W2008023055","https://openalex.org/W2015478397","https://openalex.org/W2017708378","https://openalex.org/W2018099601","https://openalex.org/W2045749371","https://openalex.org/W2046996444","https://openalex.org/W2052257324","https://openalex.org/W2056179869","https://openalex.org/W2064935422","https://openalex.org/W2081231516","https://openalex.org/W2093825635","https://openalex.org/W2095134601","https://openalex.org/W2104716583","https://openalex.org/W2104815855","https://openalex.org/W2105112568","https://openalex.org/W2116501956","https://openalex.org/W2119998894","https://openalex.org/W2124993036","https://openalex.org/W2125694129","https://openalex.org/W2144643443","https://openalex.org/W2150367356","https://openalex.org/W2154929945","https://openalex.org/W2166188787","https://openalex.org/W2340364767","https://openalex.org/W2543892080","https://openalex.org/W3147414854","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2110235052","https://openalex.org/W3157599146","https://openalex.org/W3214743947","https://openalex.org/W3013383964","https://openalex.org/W1988017505","https://openalex.org/W2002489537","https://openalex.org/W4386013667","https://openalex.org/W2379805282","https://openalex.org/W2055069445","https://openalex.org/W1964326323"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}