{"id":"https://openalex.org/W2789855110","doi":"https://doi.org/10.1109/tnet.2019.2939950","title":"Virtual Network Embedding Approximations: Leveraging Randomized Rounding","display_name":"Virtual Network Embedding Approximations: Leveraging Randomized Rounding","publication_year":2018,"publication_date":"2018-05-01","ids":{"openalex":"https://openalex.org/W2789855110","doi":"https://doi.org/10.1109/tnet.2019.2939950","mag":"2789855110"},"language":"en","primary_location":{"id":"doi:10.1109/tnet.2019.2939950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2019.2939950","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM Transactions on Networking","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.03622","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088898826","display_name":"Matthias Rost","orcid":"https://orcid.org/0000-0002-2380-0284"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias Rost","raw_affiliation_strings":["Faculty of Electrical Engineering and Computer Science, Technische Universit\u00e4t Berlin, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2380-0284","affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Computer Science, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066080641","display_name":"Stefan Schmid","orcid":"https://orcid.org/0000-0002-7798-1711"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Schmid","raw_affiliation_strings":["Faculty of Computer Science, University of Vienna, Vienna, Austria","Faculty of computer science, University of Vienna, Vienna, Austria"],"raw_orcid":"https://orcid.org/0000-0002-7798-1711","affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Faculty of computer science, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2495,"currency":"USD","value_usd":2495},"apc_paid":null,"fwci":1.0817,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80777698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"27","issue":"5","first_page":"1","last_page":"2084"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10714","display_name":"Software-Defined Networks and 5G","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10714","display_name":"Software-Defined Networks and 5G","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9764000177383423,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/randomized-rounding","display_name":"Randomized rounding","score":0.8752503395080566},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.731285035610199},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.6622273325920105},{"id":"https://openalex.org/keywords/virtual-network","display_name":"Virtual network","score":0.5900677442550659},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.5752744078636169},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5646417140960693},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5319146513938904},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5131216645240784},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4225679337978363},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3710380494594574},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35516899824142456},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23363140225410461},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.22920045256614685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1755974292755127},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11829185485839844}],"concepts":[{"id":"https://openalex.org/C32029473","wikidata":"https://www.wikidata.org/wiki/Q7292010","display_name":"Randomized rounding","level":3,"score":0.8752503395080566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.731285035610199},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.6622273325920105},{"id":"https://openalex.org/C2776874963","wikidata":"https://www.wikidata.org/wiki/Q4112081","display_name":"Virtual network","level":2,"score":0.5900677442550659},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.5752744078636169},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5646417140960693},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5319146513938904},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5131216645240784},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4225679337978363},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3710380494594574},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35516899824142456},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23363140225410461},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.22920045256614685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1755974292755127},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11829185485839844},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1109/tnet.2019.2939950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2019.2939950","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM Transactions on Networking","raw_type":"journal-article"},{"id":"doi:10.23919/ifipnetworking.2018.8696623","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ifipnetworking.2018.8696623","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IFIP Networking Conference (IFIP Networking) and Workshops","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1803.03622","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.03622","pdf_url":"https://arxiv.org/pdf/1803.03622","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2789855110","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1803.03622","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:depositonce.tu-berlin.de:11303/10576","is_oa":false,"landing_page_url":"https://depositonce.tu-berlin.de/handle/11303/10576","pdf_url":null,"source":{"id":"https://openalex.org/S4406922277","display_name":"DepositOnce","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.1803.03622","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1803.03622","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.14279/depositonce-9505","is_oa":true,"landing_page_url":"https://doi.org/10.14279/depositonce-9505","pdf_url":null,"source":{"id":"https://openalex.org/S7407052985","display_name":"Technische Universit\u00e4t Berlin \u2013 Universit\u00e4tsbibliothek","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4577782","host_organization_name":"Technische Universit\u00e4t Berlin","host_organization_lineage":["https://openalex.org/I4577782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1803.03622","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.03622","pdf_url":"https://arxiv.org/pdf/1803.03622","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5600000023841858}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320321409","display_name":"Aalborg Universitet","ror":"https://ror.org/04m5j1k67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2789855110.pdf","grobid_xml":"https://content.openalex.org/works/W2789855110.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1568023593","https://openalex.org/W1651984967","https://openalex.org/W1966600255","https://openalex.org/W1974115975","https://openalex.org/W1989274820","https://openalex.org/W2000238032","https://openalex.org/W2031904783","https://openalex.org/W2035536069","https://openalex.org/W2038021311","https://openalex.org/W2047714188","https://openalex.org/W2079300367","https://openalex.org/W2087733350","https://openalex.org/W2112486185","https://openalex.org/W2114298221","https://openalex.org/W2118404561","https://openalex.org/W2121752873","https://openalex.org/W2132238781","https://openalex.org/W2157790661","https://openalex.org/W2161965229","https://openalex.org/W2257125174","https://openalex.org/W2325918172","https://openalex.org/W2340581052","https://openalex.org/W2403593353","https://openalex.org/W2487114213","https://openalex.org/W2548462953","https://openalex.org/W2792492052","https://openalex.org/W2800139957","https://openalex.org/W2915497091","https://openalex.org/W2941889474","https://openalex.org/W2951672278","https://openalex.org/W2953039950","https://openalex.org/W2963973986","https://openalex.org/W3105055013","https://openalex.org/W3162452290","https://openalex.org/W6637144555","https://openalex.org/W6703642873","https://openalex.org/W6748767234","https://openalex.org/W6749437329"],"related_works":["https://openalex.org/W2963973986","https://openalex.org/W2552037019","https://openalex.org/W3123646054","https://openalex.org/W2091845854","https://openalex.org/W987928612","https://openalex.org/W3173991314","https://openalex.org/W2340581052","https://openalex.org/W2114298221","https://openalex.org/W3108750751","https://openalex.org/W3045981305","https://openalex.org/W2122671526","https://openalex.org/W2809012714","https://openalex.org/W2493205965","https://openalex.org/W3126196944","https://openalex.org/W2734356284","https://openalex.org/W2114705431","https://openalex.org/W2239242197","https://openalex.org/W2904115878","https://openalex.org/W2980044201","https://openalex.org/W3106391789"],"abstract_inverted_index":{"The":[0],"Virtual":[1,24],"Network":[2],"Embedding":[3],"Problem":[4],"(VNEP)":[5],"captures":[6],"the":[7,15,21,38,49,57,61,67,73,82,91,96,110,122,127,152,178,183,186,225],"essence":[8],"of":[9,23,28,41,51,69,113,154,172,194,224],"many":[10],"resource":[11,103,187,217],"allocation":[12],"problems.":[13],"In":[14,148],"VNEP,":[16],"customers":[17],"request":[18,77,156],"resources":[19],"in":[20,56,185,201],"form":[22],"Networks.":[25],"An":[26],"embedding":[27],"a":[29,33,160],"virtual":[30,137],"network":[31,59,138],"on":[32,109,151,228],"shared":[34],"physical":[35,45,58],"infrastructure":[36],"is":[37,93,107],"joint":[39],"mapping":[40,50],"(virtual)":[42,52],"nodes":[43],"to":[44,94],"servers":[46],"together":[47],"with":[48,85],"edges":[53],"onto":[54],"paths":[55],"connecting":[60],"respective":[62],"servers.":[63],"This":[64],"work":[65],"initiates":[66],"study":[68,81],"approximation":[70,106,180],"algorithms":[71],"for":[72,75,126,182],"VNEP":[74,128,184],"general":[76,136],"graphs.":[78],"Concretely,":[79],"we":[80,119,158,176],"offline":[83],"setting":[84],"admission":[86],"control:":[87],"given":[88],"multiple":[89],"requests,":[90],"task":[92],"embed":[95],"most":[97],"profitable":[98],"subset":[99],"while":[100,230],"not":[101],"exceeding":[102],"capacities.":[104,232],"Our":[105,206],"based":[108],"randomized":[111],"rounding":[112,174,195,221],"Linear":[114],"Programming":[115],"(LP)":[116],"solutions.":[117],"Interestingly,":[118],"uncover":[120],"that":[121,209],"standard":[123],"LP":[124,162],"formulation":[125],"exhibits":[129],"an":[130,202],"inherent":[131],"structural":[132],"deficit":[133],"when":[134],"considering":[135],"topologies:":[139],"its":[140],"solutions":[141,165,211],"cannot":[142],"be":[143,167,213],"decomposed":[144],"into":[145],"valid":[146],"embeddings.":[147],"turn,":[149],"focusing":[150],"class":[153],"cactus":[155],"graphs,":[157],"devise":[159],"novel":[161],"formulation,":[163],"whose":[164],"can":[166,212],"decomposed.":[168],"Proving":[169],"performance":[170,200],"guarantees":[171],"our":[173],"scheme,":[175],"obtain":[177],"first":[179],"algorithm":[181],"augmentation":[188],"model.":[189],"We":[190],"propose":[191],"different":[192],"types":[193],"heuristics":[196],"and":[197],"evaluate":[198],"their":[199],"extensive":[203],"computational":[204],"study.":[205],"results":[207],"indicate":[208],"good":[210],"achieved":[214],"even":[215],"without":[216],"augmentations.":[218],"Specifically,":[219],"heuristical":[220],"achieves":[222],"77.2%":[223],"baseline's":[226],"profit":[227],"average":[229],"respecting":[231]},"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":3}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
