{"id":"https://openalex.org/W2287235207","doi":"https://doi.org/10.1137/14099588x","title":"A Note on the Ring Loading Problem","display_name":"A Note on the Ring Loading Problem","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2287235207","doi":"https://doi.org/10.1137/14099588x","mag":"2287235207"},"language":"en","primary_location":{"id":"doi:10.1137/14099588x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/14099588x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5055693054","display_name":"Martin Skutella","orcid":"https://orcid.org/0000-0002-9814-1703"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Martin Skutella","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055693054"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1838,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.54543993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"1","first_page":"327","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.9959999918937683,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/ring","display_name":"Ring (chemistry)","score":0.7563786506652832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.673853874206543},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6547237634658813},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6311514973640442},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6031619310379028},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5918386578559875},{"id":"https://openalex.org/keywords/synchronous-optical-networking","display_name":"Synchronous optical networking","score":0.584718644618988},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5319419503211975},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4198809266090393},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1462014615535736},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09369418025016785},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.0870477557182312},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07339370250701904}],"concepts":[{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.7563786506652832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.673853874206543},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6547237634658813},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6311514973640442},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6031619310379028},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5918386578559875},{"id":"https://openalex.org/C198306430","wikidata":"https://www.wikidata.org/wiki/Q51823","display_name":"Synchronous optical networking","level":2,"score":0.584718644618988},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5319419503211975},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4198809266090393},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1462014615535736},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09369418025016785},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0870477557182312},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07339370250701904},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/14099588x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/14099588x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W372717656","https://openalex.org/W1963501983","https://openalex.org/W1990361925","https://openalex.org/W2012969943","https://openalex.org/W2047141034","https://openalex.org/W2061040942","https://openalex.org/W2075272631","https://openalex.org/W2139729522","https://openalex.org/W2147224367","https://openalex.org/W2158689539","https://openalex.org/W3016000088"],"related_works":["https://openalex.org/W2488704204","https://openalex.org/W2319112762","https://openalex.org/W2018018876","https://openalex.org/W2146180687","https://openalex.org/W2293780457","https://openalex.org/W1518665504","https://openalex.org/W1020315673","https://openalex.org/W2001550030","https://openalex.org/W1573384687","https://openalex.org/W1984203002"],"abstract_inverted_index":{"The":[0],"Ring":[1,45],"Loading":[2,46],"Problem":[3,47],"is":[4,26,73],"an":[5,27,52,102],"optimal":[6],"routing":[7,41],"problem":[8,31],"arising":[9],"in":[10,128],"the":[11,44,57,63,74,113],"planning":[12],"of":[13,62,84,96,106,123],"optical":[14],"communication":[15],"networks":[16],"which":[17],"use":[18],"bidirectional":[19],"SONET":[20],"rings.":[21],"In":[22],"mathematical":[23],"terms,":[24],"it":[25],"unsplittable":[28,53],"multicommodity":[29],"flow":[30],"on":[32,59,112],"undirected":[33],"ring":[34,64],"networks.":[35],"We":[36,99],"prove":[37],"that":[38],"any":[39,60],"split":[40],"solution":[42,54],"to":[43],"can":[48],"be":[49],"turned":[50],"into":[51],"while":[55],"increasing":[56],"load":[58],"edge":[61],"by":[65],"no":[66],"more":[67],"than":[68],"$+\\frac{19}{14}":[69],"D$,":[70],"where":[71],"$D$":[72],"maximum":[75],"demand":[76],"value.":[77],"This":[78],"improves":[79],"upon":[80],"a":[81,92,119],"classical":[82],"result":[83],"Schrijver,":[85,124],"Seymour,":[86,125],"and":[87,117,126],"Winkler":[88],"(1998),":[89],"who":[90],"obtained":[91],"slightly":[93],"larger":[94],"bound":[95,105,116],"$+\\frac32":[97],"D$.":[98],"also":[100],"present":[101],"improved":[103],"lower":[104],"$\\frac{11}{10}":[107],"D$":[108],"(previously":[109],"$\\frac{101}{100}":[110],"D$)":[111],"best":[114],"possible":[115],"disprove":[118],"famous":[120],"long-standing":[121],"conjecture":[122],"Winker":[127],"this":[129],"context.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
