{"id":"https://openalex.org/W2618731925","doi":"https://doi.org/10.1016/j.jfranklin.2017.05.028","title":"An exact closed-form formula of collision probability in diverse multiple access communication systems with frame slotted aloha protocol","display_name":"An exact closed-form formula of collision probability in diverse multiple access communication systems with frame slotted aloha protocol","publication_year":2017,"publication_date":"2017-05-29","ids":{"openalex":"https://openalex.org/W2618731925","doi":"https://doi.org/10.1016/j.jfranklin.2017.05.028","mag":"2618731925"},"language":"en","primary_location":{"id":"doi:10.1016/j.jfranklin.2017.05.028","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2017.05.028","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","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/A5043562938","display_name":"Kun-Shu Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I59460038","display_name":"Chung Hua University","ror":"https://ror.org/01yzz0f51","country_code":"TW","type":"education","lineage":["https://openalex.org/I59460038"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Kun-Shu Huang","raw_affiliation_strings":["Ph.D. Program in Engineering Science, College of Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC"],"raw_orcid":"https://orcid.org/0000-0001-8321-938X","affiliations":[{"raw_affiliation_string":"Ph.D. Program in Engineering Science, College of Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC","institution_ids":["https://openalex.org/I59460038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050501041","display_name":"Chi-Kuang Hwang","orcid":null},"institutions":[{"id":"https://openalex.org/I59460038","display_name":"Chung Hua University","ror":"https://ror.org/01yzz0f51","country_code":"TW","type":"education","lineage":["https://openalex.org/I59460038"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chi-Kuang Hwang","raw_affiliation_strings":["Department of Electrical Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC","institution_ids":["https://openalex.org/I59460038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020119868","display_name":"Bore-Kuen Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I59460038","display_name":"Chung Hua University","ror":"https://ror.org/01yzz0f51","country_code":"TW","type":"education","lineage":["https://openalex.org/I59460038"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Bore-Kuen Lee","raw_affiliation_strings":["Department of Electrical Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC","institution_ids":["https://openalex.org/I59460038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014753992","display_name":"In\u2010Hang Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I59460038","display_name":"Chung Hua University","ror":"https://ror.org/01yzz0f51","country_code":"TW","type":"education","lineage":["https://openalex.org/I59460038"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"In-Hang Chung","raw_affiliation_strings":["Department of Electrical Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Chung Hua University, Hsinchu 30012, Taiwan, ROC","institution_ids":["https://openalex.org/I59460038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5043562938"],"corresponding_institution_ids":["https://openalex.org/I59460038"],"apc_list":{"value":2700,"currency":"USD","value_usd":2700},"apc_paid":null,"fwci":0.5844,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69382599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"354","issue":"13","first_page":"5739","last_page":"5752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9998000264167786,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9998000264167786,"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":0.9994999766349792,"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/T11158","display_name":"Wireless Networks and Protocols","score":0.9970999956130981,"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/aloha","display_name":"Aloha","score":0.9315494298934937},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.7212929129600525},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6825578212738037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6393893361091614},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.5871341824531555},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5703442096710205},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.4907413721084595},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.43922674655914307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4342609643936157},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38504719734191895},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37212902307510376},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3460598587989807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29476818442344666},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.28332242369651794},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10127747058868408},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09581398963928223},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09359478950500488},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08727258443832397}],"concepts":[{"id":"https://openalex.org/C2776398200","wikidata":"https://www.wikidata.org/wiki/Q508880","display_name":"Aloha","level":4,"score":0.9315494298934937},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.7212929129600525},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6825578212738037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6393893361091614},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5871341824531555},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5703442096710205},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.4907413721084595},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.43922674655914307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4342609643936157},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38504719734191895},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37212902307510376},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3460598587989807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29476818442344666},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.28332242369651794},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10127747058868408},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09581398963928223},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09359478950500488},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08727258443832397},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jfranklin.2017.05.028","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2017.05.028","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","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":32,"referenced_works":["https://openalex.org/W1965049909","https://openalex.org/W1981783992","https://openalex.org/W1982788633","https://openalex.org/W1992752311","https://openalex.org/W1997341747","https://openalex.org/W2016202590","https://openalex.org/W2027183525","https://openalex.org/W2029666405","https://openalex.org/W2034723581","https://openalex.org/W2042887130","https://openalex.org/W2053277960","https://openalex.org/W2072872533","https://openalex.org/W2091724993","https://openalex.org/W2108359027","https://openalex.org/W2117888670","https://openalex.org/W2121439794","https://openalex.org/W2122376181","https://openalex.org/W2123067446","https://openalex.org/W2124717094","https://openalex.org/W2133362109","https://openalex.org/W2141148239","https://openalex.org/W2155080786","https://openalex.org/W2159737655","https://openalex.org/W2160515777","https://openalex.org/W2170408115","https://openalex.org/W2328329324","https://openalex.org/W2395360537","https://openalex.org/W2403742586","https://openalex.org/W2571701251","https://openalex.org/W2753908209","https://openalex.org/W6679709188","https://openalex.org/W7065824464"],"related_works":["https://openalex.org/W1999633899","https://openalex.org/W2376885945","https://openalex.org/W2532473367","https://openalex.org/W2122376181","https://openalex.org/W2354394296","https://openalex.org/W2358063016","https://openalex.org/W2546631405","https://openalex.org/W2324698249","https://openalex.org/W2371389691","https://openalex.org/W2901277377"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}