{"id":"https://openalex.org/W1975605925","doi":"https://doi.org/10.1016/s0166-218x(98)00055-9","title":"Stability aspects of the traveling salesman problem based on k-best solutions","display_name":"Stability aspects of the traveling salesman problem based on k-best solutions","publication_year":1998,"publication_date":"1998-10-01","ids":{"openalex":"https://openalex.org/W1975605925","doi":"https://doi.org/10.1016/s0166-218x(98)00055-9","mag":"1975605925"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(98)00055-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(98)00055-9","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.wur.nl/en/publications/stability-aspects-of-the-traveling-salesman-problem-based-on-k-be","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071733990","display_name":"Marek Libura","orcid":null},"institutions":[{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marek Libura","raw_affiliation_strings":["Systems Research Institute, Polish Academy of Sciences, Poland","Systems Research Institute/Polish Academy of Sciences, Poland#TAB#"],"affiliations":[{"raw_affiliation_string":"Systems Research Institute, Polish Academy of Sciences, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"raw_affiliation_string":"Systems Research Institute/Polish Academy of Sciences, Poland#TAB#","institution_ids":["https://openalex.org/I99542240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068527444","display_name":"E.S. van der Poort","orcid":null},"institutions":[{"id":"https://openalex.org/I913481162","display_name":"Wageningen University & Research","ror":"https://ror.org/04qw24q55","country_code":"NL","type":"education","lineage":["https://openalex.org/I913481162"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Edo S. van der Poort","raw_affiliation_strings":["Agrotechnological Research Institute, Wageningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Agrotechnological Research Institute, Wageningen, The Netherlands","institution_ids":["https://openalex.org/I913481162"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109486236","display_name":"Gerard Sierksma","orcid":null},"institutions":[{"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"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Gerard Sierksma","raw_affiliation_strings":["Department of Econometrics, University of Groningen, The Netherlands","Department of Econometrics, University of Groningen, The Netherlands#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Econometrics, University of Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"Department of Econometrics, University of Groningen, The Netherlands#TAB#","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001418639","display_name":"Jack A.A. van der Veen","orcid":"https://orcid.org/0000-0003-4756-3831"},"institutions":[{"id":"https://openalex.org/I870178186","display_name":"Nyenrode Business University","ror":"https://ror.org/018528593","country_code":"NL","type":"education","lineage":["https://openalex.org/I870178186"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jack A.A. van der Veen","raw_affiliation_strings":["Centre for Supply Chain Management, Nijenrode University, The Netherlands Business School The Netherlands"],"affiliations":[{"raw_affiliation_string":"Centre for Supply Chain Management, Nijenrode University, The Netherlands Business School The Netherlands","institution_ids":["https://openalex.org/I870178186"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068527444"],"corresponding_institution_ids":["https://openalex.org/I913481162"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":2.495,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.86121829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"87","issue":"1-3","first_page":"159","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9972000122070312,"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":0.9972000122070312,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.996999979019165,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.9068190455436707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.765998899936676},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.738265872001648},{"id":"https://openalex.org/keywords/bottleneck-traveling-salesman-problem","display_name":"Bottleneck traveling salesman problem","score":0.4883675277233124},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.4880150854587555},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4853779077529907},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4631030261516571},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4504089653491974},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43935149908065796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15868985652923584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10232248902320862}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.9068190455436707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.765998899936676},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.738265872001648},{"id":"https://openalex.org/C7668213","wikidata":"https://www.wikidata.org/wiki/Q4949085","display_name":"Bottleneck traveling salesman problem","level":3,"score":0.4883675277233124},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4880150854587555},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4853779077529907},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4631030261516571},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4504089653491974},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43935149908065796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15868985652923584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10232248902320862},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0166-218x(98)00055-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(98)00055-9","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/e4be5211-e271-419e-be7b-85144edd6a0d","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/e4be5211-e271-419e-be7b-85144edd6a0d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Libura, M, van der Poort, ES, Sierksma, C & van der Veen, JAA 1998, 'Stability aspects of the traveling salesman problem based on k-best solutions', Discrete Applied Mathematics, vol. 87, no. 1-3, pp. 159-185.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:wur:oai:library.wur.nl:wurpubs/307225","is_oa":true,"landing_page_url":"https://research.wur.nl/en/publications/stability-aspects-of-the-traveling-salesman-problem-based-on-k-be","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Applied Mathematics, 8, 159 - 185","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:wur:oai:library.wur.nl:wurpubs/307225","is_oa":true,"landing_page_url":"https://research.wur.nl/en/publications/stability-aspects-of-the-traveling-salesman-problem-based-on-k-be","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Applied Mathematics, 8, 159 - 185","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W115623707","https://openalex.org/W587449908","https://openalex.org/W1600996874","https://openalex.org/W1963547452","https://openalex.org/W1969640883","https://openalex.org/W1979139381","https://openalex.org/W1988718763","https://openalex.org/W1995274002","https://openalex.org/W1999503874","https://openalex.org/W2007898399","https://openalex.org/W2029001583","https://openalex.org/W2048019042","https://openalex.org/W2054826067","https://openalex.org/W2059097437","https://openalex.org/W2065609915","https://openalex.org/W2066532999","https://openalex.org/W2066939362","https://openalex.org/W2077140068","https://openalex.org/W2090566402","https://openalex.org/W2090839948","https://openalex.org/W2115490543","https://openalex.org/W2163428398","https://openalex.org/W2324108981","https://openalex.org/W2561082985","https://openalex.org/W3125880809","https://openalex.org/W3126045339","https://openalex.org/W4233558979","https://openalex.org/W4285719527","https://openalex.org/W6604688298","https://openalex.org/W6662419709","https://openalex.org/W6677199029","https://openalex.org/W6790215515"],"related_works":["https://openalex.org/W4376138746","https://openalex.org/W4389782626","https://openalex.org/W2361554335","https://openalex.org/W2171568915","https://openalex.org/W1595757466","https://openalex.org/W2359992618","https://openalex.org/W4200179302","https://openalex.org/W4309336419","https://openalex.org/W2620231896","https://openalex.org/W2946024655"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
