{"id":"https://openalex.org/W2070890709","doi":"https://doi.org/10.1007/s10878-007-9109-x","title":"An extension of the relaxation algorithm for solving a\u00a0special case of capacitated arc routing problems","display_name":"An extension of the relaxation algorithm for solving a\u00a0special case of capacitated arc routing problems","publication_year":2007,"publication_date":"2007-11-14","ids":{"openalex":"https://openalex.org/W2070890709","doi":"https://doi.org/10.1007/s10878-007-9109-x","mag":"2070890709"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-007-9109-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-007-9109-x","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","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/A5053169743","display_name":"Saman Eskandarzadeh","orcid":"https://orcid.org/0000-0002-9128-1914"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Saman Eskandarzadeh","raw_affiliation_strings":["Engineering Optimization Research Group and Department of Industrial Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran","University\u00a0of\u00a0Tehran"],"affiliations":[{"raw_affiliation_string":"Engineering Optimization Research Group and Department of Industrial Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]},{"raw_affiliation_string":"University\u00a0of\u00a0Tehran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032511721","display_name":"Reza Tavakkoli\u2010Moghaddam","orcid":"https://orcid.org/0000-0002-6757-926X"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Reza Tavakkoli-Moghaddam","raw_affiliation_strings":["Engineering Optimization Research Group and Department of Industrial Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran","University\u00a0of\u00a0Tehran"],"affiliations":[{"raw_affiliation_string":"Engineering Optimization Research Group and Department of Industrial Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]},{"raw_affiliation_string":"University\u00a0of\u00a0Tehran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082416521","display_name":"Amir Azaron","orcid":null},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Amir Azaron","raw_affiliation_strings":["Department of Industrial Engineering, Dalhousie University, Halifax, Nova Scotia, Canada","Dalhousie University#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Dalhousie University, Halifax, Nova Scotia, Canada","institution_ids":["https://openalex.org/I129902397"]},{"raw_affiliation_string":"Dalhousie University#TAB#","institution_ids":["https://openalex.org/I129902397"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053169743"],"corresponding_institution_ids":["https://openalex.org/I23946033"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8477,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78822598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"2","first_page":"214","last_page":"234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12546","display_name":"Smart Parking Systems Research","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/arc-routing","display_name":"Arc routing","score":0.9089161157608032},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7503467798233032},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6918818950653076},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5725318789482117},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.56547611951828},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5540105104446411},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5298898816108704},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5280248522758484},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5257951617240906},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5038968920707703},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.49072539806365967},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44763925671577454},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.43780025839805603},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.4202623963356018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4123006761074066},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.37366199493408203}],"concepts":[{"id":"https://openalex.org/C2778536092","wikidata":"https://www.wikidata.org/wiki/Q4785038","display_name":"Arc routing","level":3,"score":0.9089161157608032},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7503467798233032},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6918818950653076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5725318789482117},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.56547611951828},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5540105104446411},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5298898816108704},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5280248522758484},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5257951617240906},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5038968920707703},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.49072539806365967},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44763925671577454},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.43780025839805603},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.4202623963356018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4123006761074066},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.37366199493408203},{"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-007-9109-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-007-9109-x","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:17:y:2009:i:2:d:10.1007_s10878-007-9109-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-007-9109-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322243","display_name":"Iran National Science Foundation","ror":"https://ror.org/03sr1ma14"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1553702074","https://openalex.org/W1590566476","https://openalex.org/W1786863823","https://openalex.org/W1967687507","https://openalex.org/W1983853123","https://openalex.org/W1988345713","https://openalex.org/W2002109689","https://openalex.org/W2018236017","https://openalex.org/W2032004016","https://openalex.org/W2044308184","https://openalex.org/W2060846245","https://openalex.org/W2074845101","https://openalex.org/W2078408696","https://openalex.org/W2086593641","https://openalex.org/W2094766752","https://openalex.org/W2098090443","https://openalex.org/W2119234846","https://openalex.org/W2123213336","https://openalex.org/W2131338629","https://openalex.org/W2166946414","https://openalex.org/W2167580124","https://openalex.org/W2755207176","https://openalex.org/W2798766386","https://openalex.org/W3125567423","https://openalex.org/W4242766606","https://openalex.org/W4249667877","https://openalex.org/W4253214256"],"related_works":["https://openalex.org/W2037613239","https://openalex.org/W3183857959","https://openalex.org/W4243844638","https://openalex.org/W2894990380","https://openalex.org/W195910675","https://openalex.org/W3032916910","https://openalex.org/W2363143319","https://openalex.org/W2351035339","https://openalex.org/W1980006501","https://openalex.org/W2012703063"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}