{"id":"https://openalex.org/W2137622500","doi":"https://doi.org/10.1109/foci.2011.5949471","title":"A study on the complexity of TSP instances under the 2-exchange neighbor system","display_name":"A study on the complexity of TSP instances under the 2-exchange neighbor system","publication_year":2011,"publication_date":"2011-04-01","ids":{"openalex":"https://openalex.org/W2137622500","doi":"https://doi.org/10.1109/foci.2011.5949471","mag":"2137622500"},"language":"en","primary_location":{"id":"doi:10.1109/foci.2011.5949471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/foci.2011.5949471","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Symposium on Foundations of Computational Intelligence (FOCI)","raw_type":"proceedings-article"},"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/A5024034190","display_name":"Leticia Hernando","orcid":"https://orcid.org/0000-0003-2828-0748"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Leticia Hernando","raw_affiliation_strings":["Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101889047","display_name":"Jos\u00e9 A. Pascual","orcid":"https://orcid.org/0000-0001-5355-6537"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jose A. Pascual","raw_affiliation_strings":["Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051966806","display_name":"Alexander Mendiburu","orcid":"https://orcid.org/0000-0002-7271-1931"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alexander Mendiburu","raw_affiliation_strings":["Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050500830","display_name":"Jos\u00e9 A. Lozano","orcid":"https://orcid.org/0000-0002-4683-8111"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jose A. Lozano","raw_affiliation_strings":["Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of Basque Country (UPV-EHU), Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Intelligent Systems Group, School of Computer Science, University of the Basque Country, Spain","institution_ids":["https://openalex.org/I169108374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I169108374"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"15","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9997000098228455,"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/T11106","display_name":"Data Management and Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.787876546382904},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6091716289520264},{"id":"https://openalex.org/keywords/worst-case-complexity","display_name":"Worst-case complexity","score":0.5096769332885742},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.4979417324066162},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.48577454686164856},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.4817350208759308},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4765525460243225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45742854475975037},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4339098036289215},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32699406147003174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2932659089565277}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.787876546382904},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6091716289520264},{"id":"https://openalex.org/C96563100","wikidata":"https://www.wikidata.org/wiki/Q8037118","display_name":"Worst-case complexity","level":3,"score":0.5096769332885742},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.4979417324066162},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.48577454686164856},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.4817350208759308},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4765525460243225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45742854475975037},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4339098036289215},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32699406147003174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2932659089565277},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/foci.2011.5949471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/foci.2011.5949471","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Symposium on Foundations of Computational Intelligence (FOCI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W204927580","https://openalex.org/W1516119747","https://openalex.org/W1518885151","https://openalex.org/W1527115675","https://openalex.org/W1562473198","https://openalex.org/W1607403860","https://openalex.org/W1616786285","https://openalex.org/W1650993530","https://openalex.org/W1964413221","https://openalex.org/W1985471690","https://openalex.org/W2011039300","https://openalex.org/W2012550893","https://openalex.org/W2022314698","https://openalex.org/W2039557216","https://openalex.org/W2053913299","https://openalex.org/W2063894623","https://openalex.org/W2072294492","https://openalex.org/W2091776053","https://openalex.org/W2095139726","https://openalex.org/W2096041053","https://openalex.org/W2102258286","https://openalex.org/W2145255833","https://openalex.org/W2150353295","https://openalex.org/W2152182443","https://openalex.org/W2153044299","https://openalex.org/W2476096155","https://openalex.org/W4285719527","https://openalex.org/W6608319031","https://openalex.org/W6653604645","https://openalex.org/W7008583937"],"related_works":["https://openalex.org/W2572756133","https://openalex.org/W2185228534","https://openalex.org/W1563568831","https://openalex.org/W2135149549","https://openalex.org/W4294358747","https://openalex.org/W2107631366","https://openalex.org/W1604040598","https://openalex.org/W2341709160","https://openalex.org/W2374430960","https://openalex.org/W2758988501"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2],"related":[3],"to":[4],"the":[5,24,30,35,46,49,52,57,61,64,68,71,78,81,87,93,96,113,116],"search":[6,65,82],"of":[7,12,26,29,44,48,51,54,56,63,70,73,80,89,95,115],"complexity":[8,25,104,114],"measures":[9],"for":[10],"instances":[11,28],"combinatorial":[13],"optimization":[14],"problems.":[15],"Particularly,":[16],"we":[17,106],"have":[18,40,85],"carried":[19],"out":[20],"a":[21,108],"study":[22],"about":[23],"random":[27],"Traveling":[31],"Salesman":[32],"Problem":[33],"under":[34],"2-exchange":[36],"neighbor":[37],"system.":[38],"We":[39,84],"proposed":[41],"two":[42],"descriptors":[43,91],"complexity:":[45],"proportion":[47,69],"size":[50,62,79,94],"basin":[53],"attraction":[55],"global":[58],"optimum":[59],"over":[60,77],"space":[66],"and":[67,101],"number":[72],"different":[74],"local":[75],"optima":[76],"space.":[83],"analyzed":[86],"evolution":[88],"these":[90],"as":[92],"problem":[97],"grows.":[98],"After":[99],"that,":[100],"using":[102],"our":[103],"measures,":[105],"find":[107],"phase":[109],"transition":[110],"phenomenon":[111],"in":[112],"instances.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}