{"id":"https://openalex.org/W2061119272","doi":"https://doi.org/10.1007/s10107-005-0611-6","title":"Formulations and Valid Inequalities for the Heterogeneous Vehicle Routing Problem","display_name":"Formulations and Valid Inequalities for the Heterogeneous Vehicle Routing Problem","publication_year":2005,"publication_date":"2005-07-14","ids":{"openalex":"https://openalex.org/W2061119272","doi":"https://doi.org/10.1007/s10107-005-0611-6","mag":"2061119272"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-005-0611-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0611-6","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5008597907","display_name":"Hande Yaman","orcid":"https://orcid.org/0000-0002-3392-1127"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Hande Yaman","raw_affiliation_strings":["Department of Industrial Engineering, Bilkent University, Bilkent, 06800, Ankara, Turkey","Department of Industrial Engineering, Bilkent University 06800 Ankara, Turkey#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Bilkent University, Bilkent, 06800, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]},{"raw_affiliation_string":"Department of Industrial Engineering, Bilkent University 06800 Ankara, Turkey#TAB#","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008597907"],"corresponding_institution_ids":["https://openalex.org/I168864056"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":10.3261,"has_fulltext":false,"cited_by_count":97,"citation_normalized_percentile":{"value":0.98017953,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"106","issue":"2","first_page":"365","last_page":"390"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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":0.9887999892234802,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.6719153523445129},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.665951132774353},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5888999700546265},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5860474705696106},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5214954614639282},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.49422410130500793},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.45244401693344116},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4406544864177704},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4126219153404236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3181871771812439},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18735268712043762},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.062208592891693115}],"concepts":[{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.6719153523445129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.665951132774353},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5888999700546265},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5860474705696106},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5214954614639282},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.49422410130500793},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.45244401693344116},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4406544864177704},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4126219153404236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3181871771812439},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18735268712043762},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.062208592891693115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-005-0611-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0611-6","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:repository.bilkent.edu.tr:11693/23786","is_oa":false,"landing_page_url":"http://hdl.handle.net/11693/23786","pdf_url":null,"source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W207813684","https://openalex.org/W634448324","https://openalex.org/W1504684182","https://openalex.org/W1601649239","https://openalex.org/W1606779053","https://openalex.org/W1967535666","https://openalex.org/W1970025200","https://openalex.org/W1972755385","https://openalex.org/W1973326170","https://openalex.org/W1985322505","https://openalex.org/W1997759337","https://openalex.org/W2001994662","https://openalex.org/W2006334235","https://openalex.org/W2009082978","https://openalex.org/W2017070898","https://openalex.org/W2021041629","https://openalex.org/W2023610130","https://openalex.org/W2029681015","https://openalex.org/W2044280739","https://openalex.org/W2049287714","https://openalex.org/W2052972410","https://openalex.org/W2059615070","https://openalex.org/W2060387084","https://openalex.org/W2064366623","https://openalex.org/W2073484581","https://openalex.org/W2074533831","https://openalex.org/W2089032662","https://openalex.org/W2092353499","https://openalex.org/W2117466569","https://openalex.org/W2124452917","https://openalex.org/W2159203019","https://openalex.org/W2161865945","https://openalex.org/W2171177844"],"related_works":["https://openalex.org/W2018691209","https://openalex.org/W4312143452","https://openalex.org/W4247364272","https://openalex.org/W3133151256","https://openalex.org/W2132920749","https://openalex.org/W2101108574","https://openalex.org/W2157331354","https://openalex.org/W3131953714","https://openalex.org/W2626773395","https://openalex.org/W1575940985"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}