{"id":"https://openalex.org/W3195720537","doi":"https://doi.org/10.1109/tnet.2021.3103424","title":"Martingale Theory Application to the Delay Analysis of a Multi-Hop Aloha NOMA Scheme in Edge Computing Systems","display_name":"Martingale Theory Application to the Delay Analysis of a Multi-Hop Aloha NOMA Scheme in Edge Computing Systems","publication_year":2021,"publication_date":"2021-08-12","ids":{"openalex":"https://openalex.org/W3195720537","doi":"https://doi.org/10.1109/tnet.2021.3103424","mag":"3195720537"},"language":"en","primary_location":{"id":"doi:10.1109/tnet.2021.3103424","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2021.3103424","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":["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/A5005457508","display_name":"Romano Fantacci","orcid":"https://orcid.org/0000-0001-5934-3321"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Romano Fantacci","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Firenze, Italy"],"raw_orcid":"https://orcid.org/0000-0001-5934-3321","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069095933","display_name":"Tommaso Pecorella","orcid":"https://orcid.org/0000-0002-0009-8154"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Tommaso Pecorella","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Firenze, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0009-8154","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057143279","display_name":"Benedetta Picano","orcid":"https://orcid.org/0000-0003-4970-1361"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Benedetta Picano","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Firenze, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4970-1361","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068442439","display_name":"Laura Pierucci","orcid":"https://orcid.org/0000-0001-6271-7988"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Laura Pierucci","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Firenze, Italy"],"raw_orcid":"https://orcid.org/0000-0001-6271-7988","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":0.7868,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.71248267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"29","issue":"6","first_page":"2834","last_page":"2842"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11458","display_name":"Advanced Wireless Communication Technologies","score":1.0,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":1.0,"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/T12079","display_name":"IoT Networks and Protocols","score":0.9990000128746033,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9980999827384949,"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/computer-science","display_name":"Computer science","score":0.7822105288505554},{"id":"https://openalex.org/keywords/aloha","display_name":"Aloha","score":0.6786641478538513},{"id":"https://openalex.org/keywords/noma","display_name":"Noma","score":0.5493053793907166},{"id":"https://openalex.org/keywords/martingale","display_name":"Martingale (probability theory)","score":0.5170005559921265},{"id":"https://openalex.org/keywords/edge-computing","display_name":"Edge computing","score":0.5077344179153442},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4995715618133545},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4934884309768677},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4260212182998657},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.31876325607299805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3077593445777893},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.3011135458946228},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.22357121109962463},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17243486642837524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1682513952255249},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.14975661039352417},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.14244863390922546}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7822105288505554},{"id":"https://openalex.org/C2776398200","wikidata":"https://www.wikidata.org/wiki/Q508880","display_name":"Aloha","level":4,"score":0.6786641478538513},{"id":"https://openalex.org/C2775918612","wikidata":"https://www.wikidata.org/wiki/Q994794","display_name":"Noma","level":3,"score":0.5493053793907166},{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.5170005559921265},{"id":"https://openalex.org/C2778456923","wikidata":"https://www.wikidata.org/wiki/Q5337692","display_name":"Edge computing","level":3,"score":0.5077344179153442},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4995715618133545},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4934884309768677},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4260212182998657},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.31876325607299805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3077593445777893},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.3011135458946228},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.22357121109962463},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17243486642837524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1682513952255249},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.14975661039352417},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.14244863390922546},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnet.2021.3103424","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2021.3103424","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":"pmh:oai:flore.unifi.it:2158/1240790","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/1240790","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1511241204","https://openalex.org/W1967387941","https://openalex.org/W1987582408","https://openalex.org/W1993991844","https://openalex.org/W2012958378","https://openalex.org/W2014925779","https://openalex.org/W2118419465","https://openalex.org/W2132548797","https://openalex.org/W2140314025","https://openalex.org/W2290753787","https://openalex.org/W2740730278","https://openalex.org/W2798076646","https://openalex.org/W2804183850","https://openalex.org/W2806287063","https://openalex.org/W2917367230","https://openalex.org/W2939405790","https://openalex.org/W2963336322","https://openalex.org/W2964044470","https://openalex.org/W2964224080","https://openalex.org/W3006721175","https://openalex.org/W3008613483","https://openalex.org/W3011172489","https://openalex.org/W3015370673","https://openalex.org/W3026627067","https://openalex.org/W3030939587","https://openalex.org/W3032872726","https://openalex.org/W4206809386","https://openalex.org/W4298200086"],"related_works":["https://openalex.org/W3107843154","https://openalex.org/W3096989448","https://openalex.org/W4366501345","https://openalex.org/W2105128603","https://openalex.org/W2373838515","https://openalex.org/W1996652759","https://openalex.org/W3192248241","https://openalex.org/W3090994729","https://openalex.org/W346937928","https://openalex.org/W3030525848"],"abstract_inverted_index":{"This":[0],"paper":[1,38,81],"analyzes":[2],"the":[3,21,37,67,70,77,80,85,100,111,117,121],"end-to-end":[4,54],"delay":[5,55],"performance":[6],"in":[7,57],"an":[8,25],"edge-computing":[9],"scenario":[10],"where":[11],"a":[12,31,41,52],"set":[13],"of":[14,16,24,30,59,69,120],"Internet":[15],"Things":[17],"devices":[18],"(IoTDs)":[19],"access":[20],"computation":[22],"facilities":[23],"Edge":[26],"Node":[27],"by":[28,64,93],"means":[29],"5G":[32],"based":[33],"network.":[34],"In":[35,73],"particular,":[36],"deals":[39],"with":[40,110],"two":[42],"power":[43],"levels":[44],"slotted":[45],"Aloha":[46],"non-orthogonal-multiple-access":[47],"(NOMA)":[48],"scheme":[49],"and":[50,89,108],"formulates":[51],"stochastic":[53],"bound,":[56],"terms":[58],"complementary":[60],"cumulative":[61],"probability":[62],"distribution,":[63],"resorting":[65,94],"to":[66,75,95,115],"application":[68],"martingale":[71],"theory.":[72],"order":[74],"validate":[76],"proposed":[78,112,122],"analysis,":[79],"proposes":[82],"comparisons":[83],"between":[84],"achieved":[86],"analytical":[87],"predictions":[88],"actual":[90],"values":[91],"derived":[92],"extensive":[96],"computer":[97],"simulations.":[98],"Furthermore,":[99],"well":[101],"known":[102],"Boole":[103],"bound":[104],"has":[105],"been":[106],"formulated":[107],"compared":[109],"Martingale":[113],"approach":[114],"highlight":[116],"better":[118],"behavior":[119],"solution.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-08-30T00:00:00"}
