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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 26, 1994 - Issue 2
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Articles

Design of Optimal Exponential CUSUM Control Charts

Pages 109-124 | Published online: 21 Feb 2018

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Read on this site (34)

FuPeng Xie, Philippe Castagliola, YuLong Qiao, XueLong Hu & JinSheng Sun. (2022) A one-sided exponentially weighted moving average control chart for time between events. Journal of Applied Statistics 49:15, pages 3928-3957.
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Victor Hugo Morales & Jose Alberto Vargas. (2022) The effect of aggregating multivariate count data using Poisson profiles. Communications in Statistics - Simulation and Computation 51:5, pages 2646-2666.
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YuLong Qiao, JinSheng Sun, Philippe Castagliola & XueLong Hu. (2022) Optimal design of one-sided exponential EWMA charts based on median run length and expected median run length. Communications in Statistics - Theory and Methods 51:9, pages 2887-2907.
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Patrick D. Bourke. (2022) CUSUM design for detection of event-rate increases for a Poisson process. Quality Engineering 34:1, pages 36-51.
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Inez M. Zwetsloot & William H. Woodall. (2021) A Review of Some Sampling and Aggregation Strategies for Basic Statistical Process Monitoring. Journal of Quality Technology 53:1, pages 1-16.
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Vasileios Alevizakos & Christos Koukouvinos. (2020) A double exponentially weighted moving average chart for time between events. Communications in Statistics - Simulation and Computation 49:10, pages 2765-2784.
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Abdul Haq & Michael B. C. Khoo. (2020) Multivariate process dispersion monitoring without subgrouping. Journal of Applied Statistics 47:9, pages 1652-1675.
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Muhammad Aslam, Muhammad Azam & Chi-Hyuck Jun. (2018) A HEWMA-CUSUM control chart for the Weibull distribution. Communications in Statistics - Theory and Methods 47:24, pages 5973-5985.
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N. Kumar, S. Chakraborti & A. C. Rakitzis. (2017) Improved Shewhart-Type Charts for Monitoring Times Between Events. Journal of Quality Technology 49:3, pages 278-296.
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Nirpeksh Kumar & Subha Chakraborti. (2017) Bayesian Monitoring of Times Between Events: The Shewhart t-Chart. Journal of Quality Technology 49:2, pages 136-154.
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Athanasios C. Rakitzis. (2016) Monitoring exponential data using two-sided control charts with runs rules. Journal of Statistical Computation and Simulation 86:1, pages 149-159.
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Jun Yang, Huan Yu, Yuan Cheng & Min Xie. (2015) Design of exponential control charts based on average time to signal using a sequential sampling scheme. International Journal of Production Research 53:7, pages 2131-2145.
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Anna Schuh, Jaime A. Camelio & William H. Woodall. (2014) Control charts for accident frequency: a motivation for real-time occupational safety monitoring. International Journal of Injury Control and Safety Promotion 21:2, pages 154-162.
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Haydar Demirhan & Canan Hamurkaroglu. (2014) Bayesian X̄ control limits for exponentially distributed measurements. Journal of Statistical Computation and Simulation 84:3, pages 628-643.
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Wenpo Huang, Lianjie Shu, Wei Jiang & Kwok-Leung Tsui. (2013) Evaluation of run-length distribution for CUSUM charts under gamma distributions. IIE Transactions 45:9, pages 981-994.
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Anna Schuh, William H. Woodall & Jaime A. Camelio. (2013) The Effect of Aggregating Data When Monitoring a Poisson Process. Journal of Quality Technology 45:3, pages 260-272.
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Eduardo Santiago & Joel Smith. (2013) Control Charts Based on the Exponential Distribution: Adapting Runs Rules for the t Chart. Quality Engineering 25:2, pages 85-96.
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Chuen-Sheng Cheng & Pei-Wen Chen. (2011) An ARL-unbiased design of time-between-events control charts with runs rules. Journal of Statistical Computation and Simulation 81:7, pages 857-871.
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C. W. Zhang, M. Xie, J. Y. Liu & T. N. Goh. (2007) A control chart for the Gamma distribution as a model of time between events. International Journal of Production Research 45:23, pages 5649-5666.
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Cai Wen Zhang, Min Xie & Thong Ngee Goh. (2006) Design of exponential control charts using a sequential sampling scheme. IIE Transactions 38:12, pages 1105-1116.
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M. H. Lee & MichaelB. C. Khoo. (2006) Optimal Statistical Design of a Multivariate EWMA Chart Based on ARL and MRL. Communications in Statistics - Simulation and Computation 35:3, pages 831-847.
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William H. Woodall. (2006) The Use of Control Charts in Health-Care and Public-Health Surveillance. Journal of Quality Technology 38:2, pages 89-104.
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M C Testik, J K Cochran & G C Runger. (2004) Adaptive server staffing in the presence of time-varying arrivals: a feed-forward control approach. Journal of the Operational Research Society 55:3, pages 233-239.
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Connie M Borror, J. Bert Keats & Douglas C Montgomery. (2003) Robustness of the time between events CUSUM. International Journal of Production Research 41:15, pages 3435-3444.
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PatrickD. Bourke. (2001) The geometric CUSUM chart with sampling inspection for monitoring fraction defective. Journal of Applied Statistics 28:8, pages 951-972.
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F. F. Gan & T. C. Chang. (2000) Computing Average Run Lengths of Exponential EWMA Charts. Journal of Quality Technology 32:2, pages 183-187.
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Layth C. Alwan. (2000) Designing an effective exponential cusum chart without the use of nomographs. Communications in Statistics - Theory and Methods 29:12, pages 2879-2893.
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Giovanni Radaelli. (1998) Planning time-between-events Shewhart control charts. Total Quality Management 9:1, pages 133-140.
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F. F. Gan. (1998) Designs of One- and Two-Sided Exponential EWMA Charts. Journal of Quality Technology 30:1, pages 55-69.
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G. Geoffrey Vining & Marion R. Reynolds$suffix/text()$suffix/text(). (1997) Multi-Level Sampling Interval Approach to Control Charts. Journal of Quality Technology 29:4, pages 418-428.
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Giovanni Radaelli. (1996) Detection of an unknown increase in the rate of a rare event. Journal of Applied Statistics 23:1, pages 105-114.
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Amy Hancock Boyd. (1995) A minimum cost exponential cusum test. Communications in Statistics - Theory and Methods 24:11, pages 2929-2958.
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F. F. Gan & K. P. Choi. (1994) Computing Average Run Lengths for Exponential CUSUM Schemes. Journal of Quality Technology 26:2, pages 134-143.
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Min Xie, Thong Ngee Goh & Tahir Mahmood. 2023. Springer Handbook of Engineering Statistics. Springer Handbook of Engineering Statistics 261 274 .
Jin Li, Dan Yu, Zhi Song, Amitava Mukherjee, Rui Chen & Jiujun Zhang. (2022) Comparisons of some memory‐type control chart for monitoring Weibull‐distributed time between events and some new results. Quality and Reliability Engineering International 38:7, pages 3598-3615.
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Yang Zhang, Yanfen Shang, Xuelong Hu & An‐Da Li. (2022) An improved exponential EWMA chart for monitoring time between events. Quality and Reliability Engineering International 38:5, pages 2748-2768.
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Muhammad Aslam, Majid Khan, Syed Masroor Anwar & Babar Zaman. (2021) A homogeneously weighted moving average control chart for monitoring time between events. Quality and Reliability Engineering International 38:2, pages 1013-1044.
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Yu‐Ching Chang & Yi‐Cheng Wu. (2021) A parameter‐free exponential control chart based on Kullback‐Leibler information for time‐between‐events monitoring. Quality and Reliability Engineering International 38:2, pages 733-756.
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Vasileios Alevizakos, Kashinath Chatterjee & Christos Koukouvinos. (2020) A triple exponentially weighted moving average control chart for monitoring time between events. Quality and Reliability Engineering International 37:3, pages 1059-1079.
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Muhammad Taqi Shah, Muhammad Azam, Muhammad Aslam & Uzma Sherazi. (2020) Time between events control charts for gamma distribution. Quality and Reliability Engineering International 37:2, pages 785-803.
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YuLong Qiao, XueLong Hu, JinSheng Sun & Qin Xu. (2020) Optimal design of one‐sided exponential cumulative sum charts with known and estimated parameters based on the median run length. Quality and Reliability Engineering International 37:1, pages 123-144.
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Yulong Qiao, Xuelong Hu, Jinsheng Sun, Qin Xu & Jianshou Kong. (2020) Optimal Design of One-sided Synthetic Exponential Charts with Known and Estimated Parameters Based on the Median Run Length. Optimal Design of One-sided Synthetic Exponential Charts with Known and Estimated Parameters Based on the Median Run Length.
Nirpeksh Kumar, Amita Baranwal & Subha Chakraborti. (2019) Shewhart‐type Phase II control charts for monitoring times to an event with a guaranteed in‐control and good out‐of‐control performance. Quality and Reliability Engineering International 36:1, pages 231-246.
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Vasileios Alevizakos & Christos Koukouvinos. (2019) A progressive mean control chart for monitoring time between events. Quality and Reliability Engineering International 36:1, pages 161-186.
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Dushyant Tyagi. (2019) Designing an Effective Combined Shewhart-CUSUM Control Scheme with Exponentially Distributed Data. International Journal of Mathematical, Engineering and Management Sciences 4:5, pages 1277-1286.
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Vasileios Alevizakos, Christos Koukouvinos & Angeliki Lappa. (2018) Monitoring of time between events with a double generally weighted moving average control chart. Quality and Reliability Engineering International 35:2, pages 685-710.
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Yulong Qiao, Xuelong Hu, Jinsheng Sun & Qin Xu. (2019) Optimal Design of One-Sided Exponential EWMA Charts With Estimated Parameters Based on the Median Run Length. IEEE Access 7, pages 76645-76658.
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Nasrullah Khan, Muhammad Aslam, Mansour Sattam Aldosari & Chi-Hyuck Jun. (2018) A Multivariate Control Chart for Monitoring Several Exponential Quality Characteristics Using EWMA. IEEE Access 6, pages 70349-70358.
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Shuo Huang, Jun Yang & Min Xie. (2017) A Study of Control Chart for Monitoring Exponentially Distributed Characteristics Based On Type-II Censored Samples. Quality and Reliability Engineering International 33:7, pages 1513-1526.
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Victor Hugo Morales & José Alberto Vargas. (2017) Monitoring Aggregated Poisson Data for Processes with Time-Varying Sample Sizes. Revista Colombiana de Estadística 40:2, pages 243-262.
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Muhammad Aslam. (2016) A Mixed EWMA-CUSUM Control Chart for Weibull-Distributed Quality Characteristics. Quality and Reliability Engineering International 32:8, pages 2987-2994.
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Ssu-Han Chen. (2016) The gamma CUSUM chart method for online customer churn prediction. Electronic Commerce Research and Applications 17, pages 99-111.
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Jun Yang, Huan Yu, Yuan Cheng & Min Xie. (2016) Design of Gamma Charts Based on Average Time to Signal. Quality and Reliability Engineering International 32:3, pages 1041-1058.
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Yen Yen Fang, Michael B. C. Khoo, Sin Yin Teh & Min Xie. (2016) Monitoring of Time-Between-Events with a Generalized Group Runs Control Chart. Quality and Reliability Engineering International 32:3, pages 767-781.
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Mohammed S. Shafae, Rebecca M. Dickinson, William H. Woodall & Jaime A. Camelio. (2015) Cumulative Sum Control Charts for Monitoring Weibull-distributed Time Between Events. Quality and Reliability Engineering International 31:5, pages 839-849.
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Muhammad Aslam, Muhammad Azam & Chi-Hyuck Jun. (2014) A new control chart for exponential distributed life using EWMA. Transactions of the Institute of Measurement and Control 37:2, pages 205-210.
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Min Zhang, Fadel M. Megahed & William H. Woodall. (2014) Exponential CUSUM Charts with Estimated Control Limits. Quality and Reliability Engineering International 30:2, pages 275-286.
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Jong-Gurl Kim & Sang-Joon Um. (2012) Design of ALT Control Chart for Small Process Variation. Journal of the Korea Safety Management and Science 14:3, pages 167-174.
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Zhiguo Li, Shiyu Zhou, Crispian Sievenpiper & Suresh Choubey. (2012) Statistical Monitoring of Time-to-Failure Data Using Rank Tests. Quality and Reliability Engineering International 28:3, pages 321-333.
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Guney Ozsan, Murat Caner Testik & Christian H. Weiß. (2009) Properties of the exponential EWMA chart with parameter estimation. Quality and Reliability Engineering International 26:6, pages 555-569.
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