{"id":"https://openalex.org/W4205450751","doi":"https://doi.org/10.1109/tcc.2021.3132008","title":"Service Mapping and Scheduling With Uncertain Processing Time in Network Function Virtualization","display_name":"Service Mapping and Scheduling With Uncertain Processing Time in Network Function Virtualization","publication_year":2021,"publication_date":"2021-12-02","ids":{"openalex":"https://openalex.org/W4205450751","doi":"https://doi.org/10.1109/tcc.2021.3132008"},"language":"en","primary_location":{"id":"doi:10.1109/tcc.2021.3132008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcc.2021.3132008","pdf_url":null,"source":{"id":"https://openalex.org/S2492498579","display_name":"IEEE Transactions on Cloud Computing","issn_l":"2168-7161","issn":["2168-7161","2372-0018"],"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 Transactions on Cloud Computing","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/A5079906610","display_name":"Yuncan Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I39012071","display_name":"Kyoto College of Graduate Studies for Informatics","ror":"https://ror.org/05mzj8a56","country_code":"JP","type":"education","lineage":["https://openalex.org/I39012071"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yuncan Zhang","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Kyoto, Japan"],"raw_orcid":"https://orcid.org/0000-0001-8646-3206","affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I39012071","https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048011832","display_name":"Fujun He","orcid":"https://orcid.org/0000-0002-2860-2930"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I39012071","display_name":"Kyoto College of Graduate Studies for Informatics","ror":"https://ror.org/05mzj8a56","country_code":"JP","type":"education","lineage":["https://openalex.org/I39012071"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fujun He","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Kyoto, Japan"],"raw_orcid":"https://orcid.org/0000-0002-2860-2930","affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I39012071","https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047825950","display_name":"Eiji Oki","orcid":"https://orcid.org/0000-0003-2177-5027"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I39012071","display_name":"Kyoto College of Graduate Studies for Informatics","ror":"https://ror.org/05mzj8a56","country_code":"JP","type":"education","lineage":["https://openalex.org/I39012071"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Eiji Oki","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Kyoto, Japan"],"raw_orcid":"https://orcid.org/0000-0003-2177-5027","affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I39012071","https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079906610"],"corresponding_institution_ids":["https://openalex.org/I22299242","https://openalex.org/I39012071"],"apc_list":null,"apc_paid":null,"fwci":1.602,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84767216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"1315","last_page":"1333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10714","display_name":"Software-Defined Networks and 5G","score":1.0,"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":1.0,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9966999888420105,"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/T10101","display_name":"Cloud Computing and Resource Management","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/job-shop-scheduling","display_name":"Job shop scheduling","score":0.8568887114524841},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6772210001945496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6459131240844727},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6018833518028259},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5937433838844299},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5491174459457397},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5461229085922241},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4963706135749817},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.425588458776474},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4222733676433563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26204031705856323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20828333497047424},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.11094284057617188}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.8568887114524841},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6772210001945496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6459131240844727},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6018833518028259},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5937433838844299},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5491174459457397},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5461229085922241},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4963706135749817},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.425588458776474},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4222733676433563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26204031705856323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20828333497047424},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.11094284057617188},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcc.2021.3132008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcc.2021.3132008","pdf_url":null,"source":{"id":"https://openalex.org/S2492498579","display_name":"IEEE Transactions on Cloud Computing","issn_l":"2168-7161","issn":["2168-7161","2372-0018"],"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 Transactions on Cloud Computing","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":50,"referenced_works":["https://openalex.org/W1435010830","https://openalex.org/W1578960134","https://openalex.org/W1823841943","https://openalex.org/W2043352445","https://openalex.org/W2044684891","https://openalex.org/W2053083982","https://openalex.org/W2055350293","https://openalex.org/W2089194229","https://openalex.org/W2118578357","https://openalex.org/W2125690626","https://openalex.org/W2131116400","https://openalex.org/W2132238781","https://openalex.org/W2132963734","https://openalex.org/W2146235116","https://openalex.org/W2161965229","https://openalex.org/W2163520627","https://openalex.org/W2260783129","https://openalex.org/W2401610261","https://openalex.org/W2430218455","https://openalex.org/W2500898769","https://openalex.org/W2523575881","https://openalex.org/W2609798306","https://openalex.org/W2740954642","https://openalex.org/W2768223108","https://openalex.org/W2784296952","https://openalex.org/W2790228828","https://openalex.org/W2790748542","https://openalex.org/W2792059843","https://openalex.org/W2804263917","https://openalex.org/W2809586770","https://openalex.org/W2809870411","https://openalex.org/W2887562677","https://openalex.org/W2903252781","https://openalex.org/W2905185150","https://openalex.org/W2905658149","https://openalex.org/W2926281209","https://openalex.org/W2948949321","https://openalex.org/W2967207255","https://openalex.org/W2992095126","https://openalex.org/W3005849588","https://openalex.org/W3010111505","https://openalex.org/W3016047076","https://openalex.org/W3017748691","https://openalex.org/W3022568111","https://openalex.org/W3035708670","https://openalex.org/W3091858434","https://openalex.org/W3093503708","https://openalex.org/W4246219036","https://openalex.org/W6628561984","https://openalex.org/W6684112801"],"related_works":["https://openalex.org/W3172150420","https://openalex.org/W2107725657","https://openalex.org/W4285278887","https://openalex.org/W2995925505","https://openalex.org/W134783735","https://openalex.org/W2365237642","https://openalex.org/W3116484972","https://openalex.org/W2941986668","https://openalex.org/W4232431455","https://openalex.org/W2107423006"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"an":[3,94],"optimization":[4],"model":[5,24,140,144],"for":[6],"the":[7,29,46,49,53,57,63,72,82,102,106,115,125,130,138,142],"network":[8,20],"service":[9],"(NS)":[10],"mapping":[11,86],"and":[12,87,123],"scheduling":[13,88],"problem":[14,47,73,122],"with":[15,48,96,129,145],"uncertain":[16],"processing":[17,25,41],"time":[18,26,42,98],"in":[19,84,148],"function":[21],"virtualization.":[22],"We":[23,44,61],"uncertainty":[27,59,107],"through":[28],"<inline-formula><tex-math":[30],"notation=\"LaTeX\">$\\Gamma$</tex-math></inline-formula>":[31],"-robustness":[32],"approach,":[33],"which":[34,85,109],"provides":[35],"different":[36],"degrees":[37],"of":[38,65,150],"robustness":[39],"against":[40],"uncertainty.":[43],"formulate":[45],"objective":[50],"to":[51,78,100],"minimize":[52],"worst-case":[54,103,127,151],"makespan":[55,104,128],"over":[56,105],"given":[58],"set.":[60],"show":[62,136],"NP-hardness":[64],"considered":[66],"problem.":[67,132],"A":[68],"heuristic":[69],"that":[70,137],"divides":[71],"into":[74],"subproblems":[75],"is":[76],"presented":[77],"tackle":[79],"it.":[80],"For":[81],"subproblem":[83],"decisions":[89],"are":[90],"given,":[91],"we":[92],"develop":[93],"algorithm":[95],"polynomial":[97],"complexity":[99],"calculate":[101],"set,":[108],"has":[110],"a":[111],"better":[112],"scalability":[113],"than":[114],"corresponding":[116],"mixed":[117],"integer":[118],"linear":[119],"programming":[120],"(MILP)":[121],"obtains":[124],"same":[126],"MILP":[131],"The":[133],"numerical":[134],"results":[135],"proposed":[139],"outperforms":[141],"conventional":[143],"deterministic":[146],"parameters":[147],"terms":[149],"makespan.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}