{"id":"https://openalex.org/W4313287642","doi":"https://doi.org/10.3390/math10244786","title":"A Markov Chain Model for Approximating the Run Length Distributions of Poisson EWMA Charts under Linear Drifts","display_name":"A Markov Chain Model for Approximating the Run Length Distributions of Poisson EWMA Charts under Linear Drifts","publication_year":2022,"publication_date":"2022-12-16","ids":{"openalex":"https://openalex.org/W4313287642","doi":"https://doi.org/10.3390/math10244786"},"language":"en","primary_location":{"id":"doi:10.3390/math10244786","doi":"https://doi.org/10.3390/math10244786","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math10244786","pdf_url":"https://www.mdpi.com/2227-7390/10/24/4786/pdf?version=1671170651","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2227-7390/10/24/4786/pdf?version=1671170651","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085341571","display_name":"Honghao Zhao","orcid":"https://orcid.org/0000-0001-6572-3515","observed_orcids":["https://orcid.org/0000-0001-6572-3515"]},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":true,"raw_author_name":"Honghao Zhao","raw_affiliation_strings":["Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China"],"raw_orcid":"https://orcid.org/0000-0001-6572-3515","affiliations":[{"raw_affiliation_string":"Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074919470","display_name":"Huajun Tang","orcid":"https://orcid.org/0000-0002-0186-165X","observed_orcids":["https://orcid.org/0000-0002-0186-165X"]},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Huajun Tang","raw_affiliation_strings":["Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China"],"raw_orcid":"https://orcid.org/0000-0002-0186-165X","affiliations":[{"raw_affiliation_string":"Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033592186","display_name":"Chuan Pang","orcid":"https://orcid.org/0000-0002-1804-7638","observed_orcids":["https://orcid.org/0000-0002-1804-7638"]},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Chuan Pang","raw_affiliation_strings":["Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036752525","display_name":"Huimin Jiang","orcid":"https://orcid.org/0000-0003-0951-0624","observed_orcids":["https://orcid.org/0000-0003-0951-0624","https://orcid.org/0000-0002-4816-7112"]},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Huimin Jiang","raw_affiliation_strings":["Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China"],"raw_orcid":"https://orcid.org/0000-0003-0951-0624","affiliations":[{"raw_affiliation_string":"Department of Decision Sciences, School of Business, Macau University of Science and Technology, Macau 999078, China","institution_ids":["https://openalex.org/I111950717"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085341571"],"corresponding_institution_ids":["https://openalex.org/I111950717"],"apc_list":{"value":1800,"currency":"CHF","value_usd":1885},"apc_paid":{"value":1800,"currency":"CHF","value_usd":1885},"fwci":0.7552,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73734027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"10","issue":"24","first_page":"4786","last_page":"4786"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T13500","display_name":"Probability and Statistical Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/run-length-distribution","display_name":"run length distribution","score":0.7310000061988831},{"id":"https://openalex.org/keywords/linear-drift","display_name":"linear drift","score":0.746999979019165},{"id":"https://openalex.org/keywords/markov-chain-model","display_name":"Markov chain model","score":0.7900000214576721},{"id":"https://openalex.org/keywords/optimal-control-chart-design","display_name":"optimal control chart design","score":0.7620000243186951},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"sensitivity analysis","score":0.6759999990463257}],"concepts":[{"id":"https://openalex.org/C74746147","wikidata":"https://www.wikidata.org/wiki/Q5324652","display_name":"EWMA chart","level":4,"score":0.9609281420707703},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7899940013885498},{"id":"https://openalex.org/C196985124","wikidata":"https://www.wikidata.org/wiki/Q1369242","display_name":"Control chart","level":3,"score":0.7690781950950623},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6766029596328735},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5735549926757812},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.5569347739219666},{"id":"https://openalex.org/C190812933","wikidata":"https://www.wikidata.org/wiki/Q28923","display_name":"Chart","level":2,"score":0.501788854598999},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5003745555877686},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4998166561126709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.461195707321167},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4547024667263031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4502685070037842},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.44235560297966003},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.43998420238494873},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3415617346763611},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12038537859916687},{"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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/math10244786","doi":"https://doi.org/10.3390/math10244786","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math10244786","pdf_url":"https://www.mdpi.com/2227-7390/10/24/4786/pdf?version=1671170651","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jmathe:v:10:y:2022:i:24:p:4786-:d:1005238","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2227-7390/10/24/4786/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:bab2d8d796764539bd088ee8e0b76a32","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/bab2d8d796764539bd088ee8e0b76a32","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics, Vol 10, Iss 24, p 4786 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/math10244786","doi":"https://doi.org/10.3390/math10244786","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math10244786","pdf_url":"https://www.mdpi.com/2227-7390/10/24/4786/pdf?version=1671170651","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6262189509","display_name":"\u57fa\u4e8e\u5728\u7ebf\u8bc4\u8bba\u7684\u52a8\u6001\u5ba2\u6237\u504f\u597d\u5efa\u6a21\u548c\u4ea7\u54c1\u4f18\u5316\u7814\u7a76","funder_award_id":"71901149","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4313287642.pdf","grobid_xml":"https://content.openalex.org/works/W4313287642.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W135258734","https://openalex.org/W180089130","https://openalex.org/W201215413","https://openalex.org/W627037946","https://openalex.org/W1557793337","https://openalex.org/W1563051563","https://openalex.org/W1580445123","https://openalex.org/W1968509973","https://openalex.org/W1980192502","https://openalex.org/W1988300964","https://openalex.org/W2001788325","https://openalex.org/W2007580134","https://openalex.org/W2026068237","https://openalex.org/W2026478788","https://openalex.org/W2042250228","https://openalex.org/W2051903196","https://openalex.org/W2052423869","https://openalex.org/W2056821499","https://openalex.org/W2057244885","https://openalex.org/W2059359375","https://openalex.org/W2073184177","https://openalex.org/W2073268151","https://openalex.org/W2082219422","https://openalex.org/W2091577247","https://openalex.org/W2094013156","https://openalex.org/W2101366531","https://openalex.org/W2105203952","https://openalex.org/W2107847131","https://openalex.org/W2131716812","https://openalex.org/W2167988582","https://openalex.org/W2177932553","https://openalex.org/W2504706089","https://openalex.org/W2518538056","https://openalex.org/W2591871179","https://openalex.org/W2793067671","https://openalex.org/W2793487410"],"related_works":["https://openalex.org/W180089130","https://openalex.org/W2097912497","https://openalex.org/W2091577247","https://openalex.org/W2305531265","https://openalex.org/W627037946","https://openalex.org/W2334066007","https://openalex.org/W2981781195","https://openalex.org/W4391045157","https://openalex.org/W2127084686","https://openalex.org/W1965397666"],"abstract_inverted_index":{"In":[0,54],"addition":[1],"to":[2,16,21,36,79,95,116],"monitoring":[3,17,72],"the":[4,46,59,62,67,90,104,118,121],"Poisson":[5,18,47,73,81],"mean":[6,48],"rate":[7],"with":[8,83,103],"step":[9,77],"shifts,":[10],"increasing":[11],"attention":[12],"has":[13,32],"been":[14,33],"given":[15],"processes":[19,74],"subject":[20],"linear":[22,52,84],"trends.":[23],"The":[24,86],"exponentially":[25],"weighted":[26],"moving":[27],"average":[28,98],"(EWMA)":[29],"control":[30],"chart":[31,64,123],"widely":[34],"implemented":[35],"monitor":[37],"normal":[38],"processes,":[39],"but":[40],"it":[41],"lacks":[42],"investigation":[43],"for":[44],"detecting":[45],"change":[49],"under":[50,75],"a":[51,76,80],"trend.":[53],"this":[55],"paper,":[56],"we":[57],"analyze":[58],"performance":[60],"of":[61,120],"EWMA":[63,122],"by":[65],"extending":[66],"Markov":[68],"chain":[69],"model":[70],"from":[71],"shift":[78],"process":[82],"drift.":[85],"results":[87],"demonstrate":[88],"that":[89],"proposed":[91],"method":[92],"is":[93],"able":[94],"provide":[96],"accurate":[97],"run":[99],"length":[100],"approximation,":[101],"compared":[102],"Monte":[105],"Carlo":[106],"simulation.":[107],"Optimal":[108],"design":[109],"tables":[110],"and":[111],"sensitivity":[112],"analysis":[113],"are":[114],"presented":[115],"facilitate":[117],"use":[119],"in":[124],"practice.":[125]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2023-01-06T00:00:00"}
