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The proposed charts are based on a likelihood ratio type statistic and can be used for detecting upward, or downward shifts in the process mean level as well as changes in autocorrelation structure. We provide the general framework for the development and the practical implementation of the proposed charts, along with empirical rules for their design. Using Monte Carlo simulation, we compare numerically the performance of the proposed CUSUM charts with the corresponding one\u2010sided Shewhart and exponentially weighted moving average (EWMA) charts. The numerical results show that the proposed charts are very effective in the detection of pre\u2010specified shifts in process parameters. In addition, it is possible to apply a post\u2010signaling procedure to determine which of the process parameters has changed. In terms of overall performance, the proposed charts also outperform their direct competitors. Finally, two real applications of the proposed charts are discussed.<\/jats:p>","DOI":"10.1002\/qre.70019","type":"journal-article","created":{"date-parts":[[2025,7,9]],"date-time":"2025-07-09T15:10:00Z","timestamp":1752073800000},"page":"2853-2878","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Monitoring of BINARCH(1) Processes with CUSUM\u2010Type Charts"],"prefix":"10.1002","volume":"41","author":[{"given":"Maria","family":"Anastasopoulou","sequence":"first","affiliation":[{"name":"Department of Statistics and Actuarial\u2010Financial Mathematics University of the Aegean  Karlovasi Samos Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Athanasios C.","family":"Rakitzis","sequence":"additional","affiliation":[{"name":"Department of Statistics and Insurance Science University of Piraeus  Piraeus Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,7,9]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1926.tb00125.x"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2962"},{"key":"e_1_2_9_4_1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0288627"},{"key":"e_1_2_9_5_1","doi-asserted-by":"publisher","DOI":"10.1080\/16843703.2016.1226711"},{"key":"e_1_2_9_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2023.3282569"},{"key":"e_1_2_9_7_1","doi-asserted-by":"publisher","DOI":"10.1093\/intqhc\/mzae060"},{"key":"e_1_2_9_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.techfore.2019.01.005"},{"key":"e_1_2_9_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.chemolab.2022.104651"},{"key":"e_1_2_9_10_1","doi-asserted-by":"publisher","DOI":"10.1080\/0740817X.2016.1213468"},{"key":"e_1_2_9_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2019.1571343"},{"key":"e_1_2_9_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.119660"},{"key":"e_1_2_9_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2016.03.029"},{"key":"e_1_2_9_14_1","doi-asserted-by":"publisher","DOI":"10.1002\/itl2.205"},{"key":"e_1_2_9_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-83819-5_2"},{"key":"e_1_2_9_16_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2024.2318794"},{"key":"e_1_2_9_17_1","volume-title":"Introduction to Statistical Quality Control","author":"Montgomery D. 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