{"id":"https://openalex.org/W2101785533","doi":"https://doi.org/10.1007/978-3-540-77294-1_10","title":"Improving the Efficiency of Helsgaun\u2019s Lin-Kernighan Heuristic for the Symmetric TSP","display_name":"Improving the Efficiency of Helsgaun\u2019s Lin-Kernighan Heuristic for the Symmetric TSP","publication_year":2007,"publication_date":"2007-12-14","ids":{"openalex":"https://openalex.org/W2101785533","doi":"https://doi.org/10.1007/978-3-540-77294-1_10","mag":"2101785533"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77294-1_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77294-1_10","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/A5051528217","display_name":"Dirk Richter","orcid":null},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dirk Richter","raw_affiliation_strings":["Computer Science Institute, University of Halle-Wittenberg, D-06099, Halle(Saale), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Institute, University of Halle-Wittenberg, D-06099, Halle(Saale), Germany","institution_ids":["https://openalex.org/I68956291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053683015","display_name":"Boris Goldengorin","orcid":"https://orcid.org/0000-0001-7399-581X"},"institutions":[{"id":"https://openalex.org/I164756455","display_name":"Khmelnytskyi National University","ror":"https://ror.org/04r8a1r80","country_code":"UA","type":"education","lineage":["https://openalex.org/I164756455"]},{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]},{"id":"https://openalex.org/I4210123873","display_name":"Leonid Yuzkov Khmelnytskyi University of Management and Law","ror":"https://ror.org/02vbn8n59","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210123873"]}],"countries":["NL","UA"],"is_corresponding":false,"raw_author_name":"Boris Goldengorin","raw_affiliation_strings":["Department of Applied Mathematics, Khmelnitsky National University, Ukraine","Faculty of Economic Sciences, University of Groningen, 9700 AV, Groningen, The Netherlands","University of Economics and Business, Lviv Highway 51/2, 29016, Khmelnitsky, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Khmelnitsky National University, Ukraine","institution_ids":["https://openalex.org/I164756455"]},{"raw_affiliation_string":"Faculty of Economic Sciences, University of Groningen, 9700 AV, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"University of Economics and Business, Lviv Highway 51/2, 29016, Khmelnitsky, Ukraine","institution_ids":["https://openalex.org/I164756455","https://openalex.org/I4210123873"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055839194","display_name":"Gerold J\u00e4ger","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gerold J\u00e4ger","raw_affiliation_strings":["Department of Computer Science, Washington University, Campus Box 1045, One Brookings Drive, St. Louis, Missouri, 63130-4899, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Washington University, Campus Box 1045, One Brookings Drive, St. Louis, Missouri, 63130-4899, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007586603","display_name":"Paul Molitor","orcid":"https://orcid.org/0000-0003-1461-7936"},"institutions":[{"id":"https://openalex.org/I68956291","display_name":"Martin Luther University Halle-Wittenberg","ror":"https://ror.org/05gqaka33","country_code":"DE","type":"education","lineage":["https://openalex.org/I68956291"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Paul Molitor","raw_affiliation_strings":["Computer Science Institute, University of Halle-Wittenberg, D-06099, Halle(Saale), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Institute, University of Halle-Wittenberg, D-06099, Halle(Saale), Germany","institution_ids":["https://openalex.org/I68956291"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.542,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.92571246,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"99","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9997000098228455,"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":0.9997000098228455,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9980999827384949,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9980000257492065,"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/heuristic","display_name":"Heuristic","score":0.7918339967727661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6171823740005493},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.488812655210495},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48435959219932556},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.46610721945762634},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4469166398048401},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.433495432138443},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39660459756851196},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3690508008003235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3205678462982178},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3202565610408783},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20682159066200256},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16741344332695007},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.08186072111129761},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.04745984077453613}],"concepts":[{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.7918339967727661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6171823740005493},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.488812655210495},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48435959219932556},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.46610721945762634},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4469166398048401},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.433495432138443},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39660459756851196},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3690508008003235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3205678462982178},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3202565610408783},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20682159066200256},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16741344332695007},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.08186072111129761},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.04745984077453613}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-77294-1_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77294-1_10","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.190.436","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.436","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.580.492","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.580.492","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.informatik.uni-kiel.de/~gej/publ/improved_helsgaun.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.85.3730","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.85.3730","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.informatik.uni-halle.de/~richterd/tolerances10.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W79205569","https://openalex.org/W93737390","https://openalex.org/W101311954","https://openalex.org/W187767610","https://openalex.org/W1521557497","https://openalex.org/W1535005156","https://openalex.org/W1547702857","https://openalex.org/W1551991222","https://openalex.org/W1575155528","https://openalex.org/W1586919270","https://openalex.org/W1600996874","https://openalex.org/W1602012035","https://openalex.org/W1965057580","https://openalex.org/W1968492936","https://openalex.org/W1968740067","https://openalex.org/W2013414255","https://openalex.org/W2017708378","https://openalex.org/W2042986967","https://openalex.org/W2048933432","https://openalex.org/W2059097437","https://openalex.org/W2079839546","https://openalex.org/W2084751431","https://openalex.org/W2106371135","https://openalex.org/W2120348968","https://openalex.org/W2123095470","https://openalex.org/W2132740441","https://openalex.org/W2133225315","https://openalex.org/W2134248285","https://openalex.org/W2136529208","https://openalex.org/W2140425706","https://openalex.org/W2141343969","https://openalex.org/W2161772518","https://openalex.org/W2167377888","https://openalex.org/W2488434336","https://openalex.org/W2504412001","https://openalex.org/W3007698439","https://openalex.org/W3143349073","https://openalex.org/W4300005723"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W4283025278","https://openalex.org/W2370289839","https://openalex.org/W61292821","https://openalex.org/W2082716031","https://openalex.org/W2082432309","https://openalex.org/W817174743","https://openalex.org/W2050492524"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
