{"id":"https://openalex.org/W2066906122","doi":"https://doi.org/10.1016/0166-5316(93)90035-s","title":"The Markov-modulated Poisson process (MMPP) cookbook","display_name":"The Markov-modulated Poisson process (MMPP) cookbook","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2066906122","doi":"https://doi.org/10.1016/0166-5316(93)90035-s","mag":"2066906122"},"language":"en","primary_location":{"id":"doi:10.1016/0166-5316(93)90035-s","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-5316(93)90035-s","pdf_url":null,"source":{"id":"https://openalex.org/S45003570","display_name":"Performance Evaluation","issn_l":"0166-5316","issn":["0166-5316","1872-745X"],"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":"Performance Evaluation","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/A5083218918","display_name":"W. Fischer","orcid":"https://orcid.org/0000-0002-2351-0834"},"institutions":[{"id":"https://openalex.org/I1325886976","display_name":"Siemens (Germany)","ror":"https://ror.org/059mq0909","country_code":"DE","type":"company","lineage":["https://openalex.org/I1325886976"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Wolfgang Fischer","raw_affiliation_strings":["Siemens AG, Munich, Germany","[SIEMENS AG, Munich, Germany]"],"affiliations":[{"raw_affiliation_string":"Siemens AG, Munich, Germany","institution_ids":["https://openalex.org/I1325886976"]},{"raw_affiliation_string":"[SIEMENS AG, Munich, Germany]","institution_ids":["https://openalex.org/I1325886976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066835782","display_name":"K.S. Meier-Hellstern","orcid":null},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]},{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kathleen Meier-Hellstern","raw_affiliation_strings":["AT&T Bell Laboratories, Holmdel, NJ, USA","AT&T Bell Labs., Holmdel, NJ, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"AT&T Bell Laboratories, Holmdel, NJ, USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"AT&T Bell Labs., Holmdel, NJ, USA#TAB#","institution_ids":["https://openalex.org/I72090969"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083218918"],"corresponding_institution_ids":["https://openalex.org/I1325886976"],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":null,"fwci":12.2027,"has_fulltext":false,"cited_by_count":875,"citation_normalized_percentile":{"value":0.99021393,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"18","issue":"2","first_page":"149","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10575","display_name":"Wireless Communication Networks Research","score":0.9758999943733215,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9745000004768372,"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/poisson-distribution","display_name":"Poisson distribution","score":0.7236095666885376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7148627042770386},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.6707184314727783},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6033070683479309},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6004738807678223},{"id":"https://openalex.org/keywords/markovian-arrival-process","display_name":"Markovian arrival process","score":0.5759224891662598},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5226630568504333},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5076776742935181},{"id":"https://openalex.org/keywords/poisson-process","display_name":"Poisson process","score":0.47001245617866516},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4693257212638855},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.4476977586746216},{"id":"https://openalex.org/keywords/markov-renewal-process","display_name":"Markov renewal process","score":0.4122138023376465},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40519633889198303},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.3813113570213318},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3516562879085541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2543213665485382},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2505924701690674},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11951145529747009},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10141459107398987},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08779650926589966}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7236095666885376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7148627042770386},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.6707184314727783},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6033070683479309},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6004738807678223},{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.5759224891662598},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5226630568504333},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5076776742935181},{"id":"https://openalex.org/C166144826","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson process","level":3,"score":0.47001245617866516},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4693257212638855},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.4476977586746216},{"id":"https://openalex.org/C163540672","wikidata":"https://www.wikidata.org/wiki/Q1115431","display_name":"Markov renewal process","level":5,"score":0.4122138023376465},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40519633889198303},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.3813113570213318},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3516562879085541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2543213665485382},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2505924701690674},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11951145529747009},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10141459107398987},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08779650926589966},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-5316(93)90035-s","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-5316(93)90035-s","pdf_url":null,"source":{"id":"https://openalex.org/S45003570","display_name":"Performance Evaluation","issn_l":"0166-5316","issn":["0166-5316","1872-745X"],"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":"Performance Evaluation","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":61,"referenced_works":["https://openalex.org/W191129591","https://openalex.org/W199485464","https://openalex.org/W218580582","https://openalex.org/W285823907","https://openalex.org/W591263905","https://openalex.org/W657298478","https://openalex.org/W1482170926","https://openalex.org/W1493115274","https://openalex.org/W1501723949","https://openalex.org/W1530239534","https://openalex.org/W1563163667","https://openalex.org/W1966617542","https://openalex.org/W1980746611","https://openalex.org/W1983553644","https://openalex.org/W1995666195","https://openalex.org/W2000127913","https://openalex.org/W2001940047","https://openalex.org/W2014420092","https://openalex.org/W2016299324","https://openalex.org/W2021440403","https://openalex.org/W2028767144","https://openalex.org/W2034075882","https://openalex.org/W2037137759","https://openalex.org/W2058530497","https://openalex.org/W2061284453","https://openalex.org/W2063973166","https://openalex.org/W2067136705","https://openalex.org/W2068404304","https://openalex.org/W2080054936","https://openalex.org/W2082062155","https://openalex.org/W2083529130","https://openalex.org/W2084380285","https://openalex.org/W2096452468","https://openalex.org/W2100363391","https://openalex.org/W2101969505","https://openalex.org/W2106612157","https://openalex.org/W2121529758","https://openalex.org/W2122780258","https://openalex.org/W2154602821","https://openalex.org/W2162602207","https://openalex.org/W2165551776","https://openalex.org/W2323238791","https://openalex.org/W2329616260","https://openalex.org/W2330264315","https://openalex.org/W2442265799","https://openalex.org/W2799598053","https://openalex.org/W2809472442","https://openalex.org/W2905296953","https://openalex.org/W3026026050","https://openalex.org/W4230899823","https://openalex.org/W4242750545","https://openalex.org/W4248928479","https://openalex.org/W4251758116","https://openalex.org/W4285719527","https://openalex.org/W6607080405","https://openalex.org/W6607756565","https://openalex.org/W6628813391","https://openalex.org/W6629610444","https://openalex.org/W6650846166","https://openalex.org/W6686039560","https://openalex.org/W6752295716"],"related_works":["https://openalex.org/W4254010610","https://openalex.org/W1971696793","https://openalex.org/W1963609683","https://openalex.org/W2191913249","https://openalex.org/W2027036374","https://openalex.org/W4247037558","https://openalex.org/W2091522449","https://openalex.org/W2615845803","https://openalex.org/W2184541843","https://openalex.org/W2101969505"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":32},{"year":2020,"cited_by_count":32},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":27},{"year":2017,"cited_by_count":26},{"year":2016,"cited_by_count":37},{"year":2015,"cited_by_count":34},{"year":2014,"cited_by_count":36},{"year":2013,"cited_by_count":37},{"year":2012,"cited_by_count":38}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
