{"id":"https://openalex.org/W1649579261","doi":"https://doi.org/10.1007/978-3-540-72588-6_49","title":"Using Gavish-Grave LP to Formulate the Directed Black and White Traveling Salesman Problem","display_name":"Using Gavish-Grave LP to Formulate the Directed Black and White Traveling Salesman Problem","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1649579261","doi":"https://doi.org/10.1007/978-3-540-72588-6_49","mag":"1649579261"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-72588-6_49","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-72588-6_49","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-72588-6_49.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-72588-6_49.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002119636","display_name":"He Jiang","orcid":"https://orcid.org/0000-0001-8674-4948"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"He Jiang","raw_affiliation_strings":["School of Software, Dalian University of Technology, Dalian 116621, China","School of Software, Dalian University of Technology, Dalian 116621, China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology, Dalian 116621, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Software, Dalian University of Technology, Dalian 116621, China)","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006269113","display_name":"Xianchao Zhang","orcid":"https://orcid.org/0000-0002-0180-3740"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XianChao Zhang","raw_affiliation_strings":["School of Software, Dalian University of Technology, Dalian 116621, China","School of Software, Dalian University of Technology, Dalian 116621, China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology, Dalian 116621, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Software, Dalian University of Technology, Dalian 116621, China)","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077829209","display_name":"Mingchu Li","orcid":"https://orcid.org/0000-0001-8280-2936"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MingChu Li","raw_affiliation_strings":["School of Software, Dalian University of Technology, Dalian 116621, China","School of Software, Dalian University of Technology, Dalian 116621, China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Dalian University of Technology, Dalian 116621, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Software, Dalian University of Technology, Dalian 116621, China)","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062089229","display_name":"Haoyang Che","orcid":"https://orcid.org/0000-0003-0680-2285"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"HaoYang Che","raw_affiliation_strings":["Institute of Software, The Chinese Academy of Sciences, Beijing 100080, China","Institute of Software,The Chinese Academy of Sciences,Beijing 100080,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Software, The Chinese Academy of Sciences, Beijing 100080, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"raw_affiliation_string":"Institute of Software,The Chinese Academy of Sciences,Beijing 100080,China)","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.10056439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"293","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9995999932289124,"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":0.9995999932289124,"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/T12176","display_name":"Optimization and Packing Problems","score":0.993399977684021,"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/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9750000238418579,"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":0.902284562587738},{"id":"https://openalex.org/keywords/bottleneck-traveling-salesman-problem","display_name":"Bottleneck traveling salesman problem","score":0.6542862057685852},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5301638245582581},{"id":"https://openalex.org/keywords/2-opt","display_name":"2-opt","score":0.5044444799423218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49206775426864624},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.457902193069458},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.4258122742176056},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4118686318397522},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4117351174354553},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.30670690536499023}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.902284562587738},{"id":"https://openalex.org/C7668213","wikidata":"https://www.wikidata.org/wiki/Q4949085","display_name":"Bottleneck traveling salesman problem","level":3,"score":0.6542862057685852},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5301638245582581},{"id":"https://openalex.org/C106472803","wikidata":"https://www.wikidata.org/wiki/Q291440","display_name":"2-opt","level":3,"score":0.5044444799423218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49206775426864624},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.457902193069458},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.4258122742176056},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4118686318397522},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4117351174354553},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.30670690536499023}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-72588-6_49","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-72588-6_49","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-72588-6_49.pdf","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":{"id":"doi:10.1007/978-3-540-72588-6_49","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-72588-6_49","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-72588-6_49.pdf","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"},"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G7282745907","display_name":null,"funder_award_id":"60673046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321630","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876"},{"id":"https://openalex.org/F4320323086","display_name":"Natural Science Foundation of Liaoning Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1649579261.pdf","grobid_xml":"https://content.openalex.org/works/W1649579261.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W144582148","https://openalex.org/W1504684182","https://openalex.org/W1980220620","https://openalex.org/W1984451472","https://openalex.org/W2040090491","https://openalex.org/W2049287714","https://openalex.org/W2058937865","https://openalex.org/W2107535850","https://openalex.org/W2107612355","https://openalex.org/W2127293593","https://openalex.org/W2128946800","https://openalex.org/W2137424455","https://openalex.org/W2399100674","https://openalex.org/W4241157386","https://openalex.org/W4245547684"],"related_works":["https://openalex.org/W4389782626","https://openalex.org/W4376138746","https://openalex.org/W2359992618","https://openalex.org/W2171568915","https://openalex.org/W1595757466","https://openalex.org/W2361554335","https://openalex.org/W4200179302","https://openalex.org/W8433631","https://openalex.org/W4220987199","https://openalex.org/W2044119054"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
