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Original Articles

Economic Statistical Control-Chart Designs With an Application to and R Charts

Pages 313-320 | Published online: 23 Mar 2012

Keep up to date with the latest research on this topic with citation updates for this article.

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Masoud Tavakoli, Ali Akbar Heydari & Sahera Hussein Zain AL–Thalabi. (2024) Control Charts for Exponentially Distributed Characteristics: SD, ED, ESD with Taguchi’s Loss Function. Applied Artificial Intelligence 38:1.
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Asma Arshad, Muhammad Azam, Muhammad Aslam & Chi-Hyuck Jun. (2024) A resubmission-based variable control chart. Communications in Statistics - Theory and Methods 53:2, pages 574-586.
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Douglas C. Montgomery. (2024) The 100th anniversary of the control chart. Journal of Quality Technology 56:1, pages 2-4.
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Sandeep & Arup Ranjan Mukhopadhyay. (2023) Optimal diagnosis interval for online quality control methods. Quality Engineering 0:0, pages 1-15.
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Masoud Tavakoli & Ali Akbar Heydari. (2023) Control chart for exponential individual samples with adaptive sampling interval method based on economic statistical design: an extension of costa and Rahim’s model. Communications in Statistics - Theory and Methods 52:14, pages 4993-5009.
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Navid Rafiei, Shervin Asadzadeh & Seyed Taghi Akhavan Niaki. (2023) Multi-objective design of risk-adjusted control chart in healthcare systems with economic and statistical considerations. Communications in Statistics - Simulation and Computation 52:7, pages 2967-2984.
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Ming Ha Lee, Michael B. C. Khoo, Abdul Haq & XinYing Chew. (2023) Economic-statistical design of the variable sampling interval Poisson EWMA chart. Communications in Statistics - Simulation and Computation 52:5, pages 2139-2150.
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Darwin J. Davis, James M. Lucas, Erwin M. Saniga & Michael S. Saccucci. (2023) Power guidelines for process monitoring. Quality Engineering 35:1, pages 130-141.
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Daniel Ashagrie Tegegne, Daniel Kitaw & Eshetie Berhan. (2022) Advances in statistical quality control chart techniques and their limitations to cement industry. Cogent Engineering 9:1.
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YiYing Chew, Michael B. C. Khoo, Khai Wah Khaw & Wai Chung Yeong. (2022) Economic and economic-statistical designs of variable sample size and sampling interval coefficient of variation chart. Communications in Statistics - Theory and Methods 51:6, pages 1811-1835.
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Peh Sang Ng, Michael B. C. Khoo, Sajal Saha & Wai Chung Yeong. (2022) Economic and economic-statistical designs of auxiliary information based synthetic and EWMA charts. Communications in Statistics - Simulation and Computation 51:3, pages 1157-1185.
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Sinan Obaidat & Haitao Liao. (2021) Integrated decision making for attributes sampling and proactive maintenance in a discrete manufacturing system. International Journal of Production Research 59:18, pages 5454-5476.
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Mehdi Katebi & Abdur Rahim. (2021) Optimal economic statistical design of adaptive attribute control charts for monitoring three level products. Quality Technology & Quantitative Management 18:5, pages 597-619.
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Mehdi Katebi & Michael B. C. Khoo. (2021) Optimal economic statistical design of combined double sampling and variable sampling interval multivariate T2 control charts. Journal of Statistical Computation and Simulation 91:10, pages 2094-2115.
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M. Hossein Naderi, Asghar Seif & M. Bameni Moghadam. (2021) Constrained optimal design of Control Chart for correlated data under Weibull Shock Model with multiple assignable causes. Communications in Statistics - Theory and Methods 50:10, pages 2322-2353.
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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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Azamsadat Eizi, Bahram Sadeghpour Gildeh & Sayyed Ehsan Monabbati. (2020) Comparison between two methods of the economic-statistical design of profile monitoring under the double sampling scheme. Journal of Statistical Computation and Simulation 90:18, pages 3400-3421.
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Mohsen Ebadi & Amir Ahmadi-Javid. (2020) Control charts for monitoring multi-stage service processes with optimal queue performance. Communications in Statistics - Simulation and Computation 49:9, pages 2472-2484.
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Mohammad Shamsuzzaman, Salah Haridy, Imad Alsyouf & Abdur Rahim. (2020) Design of economic X̄ chart for monitoring electric power loss through transmission and distribution system. Total Quality Management & Business Excellence 31:5-6, pages 503-523.
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Ali Salmasnia, Mohammadreza Namdar & Behnam Abdzadeh. (2020) An integrated quality and maintenance model for two-unit series systems. Communications in Statistics - Simulation and Computation 49:4, pages 886-917.
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Ali Salmasnia, Behnam Abdzadeh & Aram Rahimi. (2020) Joint optimisation of double warning T2-Hotelling chart and maintenance policy with multiple assignable causes. Journal of Statistical Computation and Simulation 90:3, pages 465-488.
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S. Fani, M. A. Pasha & M. Bameni Moghadam. (2019) A new approach to optimal design of control charts based on change point estimation and total time on test plot. Communications in Statistics - Theory and Methods 48:22, pages 5571-5584.
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Mohsen Ebadi & Amir Ahmadi-Javid. (2019) Socio-economic design of control charts for monitoring service processes: a case study of a restaurant system. Quality Technology & Quantitative Management 16:6, pages 726-735.
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Mehdi Katebi & Reza Pourtaheri. (2019) An economic statistical design of the Poisson EWMA control charts for monitoring nonconformities. Journal of Statistical Computation and Simulation 89:15, pages 2813-2830.
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Mehdi Katebi & M. Bameni Moghadam. (2019) Optimal statistical, economic and economic statistical designs of attribute np control charts using a full adaptive approach. Communications in Statistics - Theory and Methods 48:18, pages 4528-4549.
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Ming Ha Lee & Michael B. C. Khoo. (2019) The economic and economic statistical designs of synthetic double sampling chart. Communications in Statistics - Simulation and Computation 48:8, pages 2313-2332.
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M. Abolmohammadi, A. Seif, M. H. Behzadi & M. Bameni Moghadam. (2019) Effect of Linex loss function on the VSIX̄ control chart. Journal of Statistical Computation and Simulation 89:9, pages 1674-1693.
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Y. Khadem & M. Bameni Moghadam. (2019) Economic statistical design of -control charts: Modified version of Rahim and Banerjee (1993) model. Communications in Statistics - Simulation and Computation 48:3, pages 684-703.
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Chung-Ho Chen & Chao-Yu Chou. (2018) Economic design of product and process parameters under the specified process capability value. Quality Technology & Quantitative Management 15:6, pages 686-701.
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George Nenes. (2018) New measures of statistical performance of process control charts. Communications in Statistics - Theory and Methods 47:18, pages 4590-4608.
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Erwin M. Saniga, Darwin Davis, Thomas McWilliams & James Lucas. (2018) Statistical CUSUM designs with minimum sampling cost. Quality Technology & Quantitative Management 15:4, pages 475-483.
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Ming Ha Lee & Michael B. C. Khoo. (2018) Economic-statistical design of synthetic max chart. Quality Technology & Quantitative Management 15:3, pages 301-327.
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Zhi Song, Yanchun Liu, Zhonghua Li & Jiujun Zhang. (2018) A weighted likelihood ratio test-based chart for monitoring process mean and variability. Journal of Statistical Computation and Simulation 88:7, pages 1415-1436.
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H. Safe, R. B. Kazemzadeh & Y. Gholipour Kanani. (2018) A Markov chain approach for double-objective economic statistical design of the variable sampling interval control chart. Communications in Statistics - Theory and Methods 47:2, pages 277-288.
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M. A. Pasha, M. Bameni Moghadam, Y. Khadem & S. Fani. (2017) An integration of Taguchi’s loss function in Banerjee–Rahim model for the economic and economic statistical design of -control charts under multiple assignable causes and Weibull shock model. Communications in Statistics - Theory and Methods 46:24, pages 12113-12129.
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M. A. Pasha, M. B. Moghadam & Sh. Fani. (2017) A generalized approach to economic design of control charts: A discussion on implementing. Communications in Statistics - Theory and Methods 46:21, pages 10495-10506.
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Mehdi Katebi, Asghar Seif & Alireza Faraz. (2017) Economic and economic-statistical designs of the T2 control charts with SVSSI sampling scheme. Communications in Statistics - Theory and Methods 46:20, pages 10149-10165.
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S. H. Patil & D. T. Shirke. (2017) Economic design of non parametric sign control chart. Communications in Statistics - Theory and Methods 46:18, pages 8987-8998.
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Saeedreza Rafie, Masoud Ghaderi Moghadam & M. B. Moghadam. (2017) A generalized version of Banerjee and Rahim model in economic and economic statistical designs of multivariate control charts under generalized exponential shock model. Communications in Statistics - Theory and Methods 46:16, pages 8016-8026.
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A. A. Heydari, M. B. Moghadam & F. Eskandari. (2017) An extension of Banerjee and Rahim model in economic and economic statistical designs for multivariate quality characteristics under Burr XII distribution. Communications in Statistics - Theory and Methods 46:16, pages 7855-7871.
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Shin-Li Lu & Chi-Jui Huang. (2017) Statistically constrained economic design of maximum double EWMA control charts based on loss functions. Quality Technology & Quantitative Management 14:3, pages 280-295.
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Masoud Tavakoli, Reza Pourtaheri & Mohamad B. Moghadam. (2017) Economic and economic–statistical designs of VSI Bayesian control chart using Monte Carlo method and ABC algorithm. Journal of Statistical Computation and Simulation 87:4, pages 766-776.
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Alireza Faraz, Kamyar Chalaki, Erwin M. Saniga & Cedric Heuchenne. (2016) The robust economic statistical design of the Hotelling's T chart. Communications in Statistics - Theory and Methods 45:23, pages 6989-7001.
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Wai Chung Yeong, Michael Boon Chong Khoo, Sok Li Lim & Philippe Castagliola. (2016) The economic and economic-statistical designs of the Hotelling's T2 chart based on the expected average run length. Quality Engineering 28:4, pages 416-428.
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X.L. Hu, P. Castagliola, J.S. Sun & M.B.C. Khoo. (2016) Economic design of the upper-sided synthetic chart with measurement errors. International Journal of Production Research 54:19, pages 5651-5670.
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Salah Haridy, Yanjing Ou, Zhang Wu & Michael B. C. Khoo. (2016) A single X chart outperforming the joint X & R and X & S charts for monitoring mean and variance. Quality Technology & Quantitative Management 13:3, pages 289-308.
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M.J. Ershadi, R. Noorossana & S.T.A Niaki. (2016) Economic-statistical design of simple linear profiles with variable sampling interval. Journal of Applied Statistics 43:8, pages 1400-1418.
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Mehdi Katebi, Reza Poortaheri & Mohammad Bameni Moghadam. (2016) Economic and economic statistical designs for three-level control charts. Journal of Statistical Computation and Simulation 86:8, pages 1463-1478.
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Asghar Seif, Alireza Faraz & Magide Sadeghifar. (2015) Evaluation of the economic statistical design of the multivariate T2 control chart with multiple variable sampling intervals scheme: NSGA-II approach. Journal of Statistical Computation and Simulation 85:12, pages 2442-2455.
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Abdul Sattar Safaei, Reza Baradaran Kazemzadeh & Heng-Soon Gan. (2015) Robust economic-statistical design of X-bar control chart. International Journal of Production Research 53:14, pages 4446-4458.
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Asghar Seif, Alireza Faraz & Erwin Saniga. (2015) Economic statistical design of the VP control charts for monitoring a process under non-normality. International Journal of Production Research 53:14, pages 4218-4230.
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Chi-Jui Huang & Shin-Li Lu. (2015) Considering Taguchi loss function on statistically constrained economic sum of squares exponentially weighted moving average charts. Journal of Statistical Computation and Simulation 85:3, pages 572-586.
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Wen-Chih Chiu. (2015) Economic-Statistical Design of EWMA Control Charts Based on Taguchi's Loss Function. Communications in Statistics - Simulation and Computation 44:1, pages 137-153.
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Chau-Chen Torng, Sheng-Pei Chung & Yi-Chun Chen. (2014) An economic-statistical design of the joint and S control charts with double sampling and variable sampling intervals. Journal of Industrial and Production Engineering 31:7, pages 452-457.
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Alireza Faraz, Cédric Heuchenne, Erwin Saniga & Antonio F.B. Costa. (2014) Double-objective economic statistical design of the VP T2 control chart: Wald's identity approach. Journal of Statistical Computation and Simulation 84:10, pages 2123-2137.
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Salah Haridy, Zhang Wu, Ka Man Lee & M. Abdur Rahim. (2014) An attribute chart for monitoring the process mean and variance. International Journal of Production Research 52:11, pages 3366-3380.
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Seyed Taghi Akhavan Niaki, Fazlollah Masoumi Gazaneh & Moslem Toosheghanian. (2014) A Parameter-Tuned Genetic Algorithm for Economic-Statistical Design of Variable Sampling Interval X-Bar Control Charts for Non-Normal Correlated Samples. Communications in Statistics - Simulation and Computation 43:5, pages 1212-1240.
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AntonioF. B. Costa & M.A. Rahim. (2013) Economic Design of and R Charts Under Weibull Shock Models. Communications in Statistics - Theory and Methods 42:21, pages 3902-3925.
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Xin Zhang & Jiujun Zhang. (2013) CUSUM Procedures for Monitoring Process Mean and Variability. Communications in Statistics - Simulation and Computation 42:7, pages 1455-1471.
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Seyed Taghi Akhavan Niaki & Mohammad Javad Ershadi. (2012) A parameter-tuned genetic algorithm for statistically constrained economic design of multivariate CUSUM control charts: a Taguchi loss approach. International Journal of Systems Science 43:12, pages 2275-2287.
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Hung-Chia Chen, Arthur B. Yeh, Chia-Ling Yen & Lin-An Chen. (2012) The density control chart: a general approach for constructing a single chart for simultaneously monitoring multiple parameters. International Journal of Production Research 50:14, pages 3904-3919.
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Wen-an Yang, Yu Guo & Wenhe Liao. (2012) Economic and statistical design of and S control charts using an improved multi-objective particle swarm optimisation algorithm. International Journal of Production Research 50:1, pages 97-117.
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Asghar Seif, Alireza Faraz, Cédric Heuchenne, Erwin Saniga & M. B. Moghadam. (2011) A modified economic-statistical design of the T2 control chart with variable sample sizes and control limits. Journal of Applied Statistics 38:11, pages 2459-2469.
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F L Chen & C H Yeh. (2011) Economic statistical design for x-bar control charts under non-normal distributed data with Weibull in-control time. Journal of the Operational Research Society 62:4, pages 750-759.
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Sheau-Chiann Chen & Jeh-Nan Pan. (2011) Determining Optimal Number of Samples for Constructing Multivariate Control Charts. Communications in Statistics - Simulation and Computation 40:2, pages 216-228.
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Alireza Faraz, R. B. Kazemzadeh & Erwin Saniga. (2010) Economic and economic statistical design of T 2 control chart with two adaptive sample sizes. Journal of Statistical Computation and Simulation 80:12, pages 1299-1316.
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B. Baud-Lavigne, S. Bassetto & B. Penz. (2010) A broader view of the economic design of the X-bar chart in the semiconductor industry. International Journal of Production Research 48:19, pages 5843-5857.
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Zhonghua Li, Jiujun Zhang & Zhaojun Wang. (2010) Self-starting control chart for simultaneously monitoring process mean and variance. International Journal of Production Research 48:15, pages 4537-4553.
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Sven Knoth, Manuel Cabral Morais, António Pacheco & Wolfgang Schmid. (2009) Misleading Signals in Simultaneous Residual Schemes for the Mean and Variance of a Stationary Process. Communications in Statistics - Theory and Methods 38:16-17, pages 2923-2943.
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Antonio F. B. Costa, Maysa S. de Magalhães & Eugenio K. Epprecht. (2009) Monitoring the process mean and variance using a synthetic control chart with two-stage testing. International Journal of Production Research 47:18, pages 5067-5086.
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Giovanni Celano. (2009) Robust design of adaptive control charts for manual manufacturing/inspection workstations. Journal of Applied Statistics 36:2, pages 181-203.
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E. A. Silver & T. R. Rohleder. (2007) A more accurate representation of the expected number of false alarms in statistical quality control. International Journal of Production Research 45:23, pages 5589-5599.
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C. Park. (2007) An algorithm for the properties of the integrated process control with bounded adjustments and EWMA monitoring. International Journal of Production Research 45:23, pages 5571-5587.
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S. F. Yang & M. A. Rahim. (2006) Multivariate extension to the economical design of control chart under Weibull shock model. Journal of Statistical Computation and Simulation 76:12, pages 1035-1047.
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Chao-Yu Chou, Chin-Chun Wu & Chung-Ho Chen. (2006) Joint Economic Design of Variable Sampling Intervals (X) and R Charts Using Genetic Algorithms. Communications in Statistics - Simulation and Computation 35:4, pages 1027-1043.
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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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JamesM. Lucas, DarwinJ. Davis & ErwinM. Saniga. (2006) Detecting improvement using Shewhart attribute control charts when the lower control limit is zero. IIE Transactions 38:8, pages 699-709.
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Z. Wu, M. Shamsuzzaman & Q. Wang. (2006) Designs of control charts with optimal manpower deployment. International Journal of Production Research 44:11, pages 2119-2132.
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Richard Marcellus. (2006) On Statistical Process Control Design. Quality Management Journal 13:1, pages 43-57.
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Cai Wen Zhang, Min Xie & Thong Ngee Goh. (2005) Economic design of exponential charts for time between events monitoring. International Journal of Production Research 43:23, pages 5019-5032.
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M. A. Rahim & H. Ohta. (2005) An integrated economic model for inventory and quality control problems. Engineering Optimization 37:1, pages 65-81.
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D. P. Bischak & E. A. Silver. (2004) Estimating the out-of-control rate from control chart data in the presence of multiple causes and process improvement. International Journal of Production Research 42:24, pages 5217-5233.
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R. BRYAN KETHLEY & MICHAELH. PETERS. (2004) Extending economic design of p charts to handle user specified constraints using a genetic algorithm. IIE Transactions 36:9, pages 855-864.
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Z. Wu, M. Shamsuzzaman & E. S. Pan. (2004) Optimization design of control charts based on Taguchi's loss function and random process shifts. International Journal of Production Research 42:2, pages 379-390.
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Hajaj Al-Oraini & M. A. Rahim. (2003) Economic statistical design of x ¥ control charts for systems with gamma ( 5 ,2) in-control times. Journal of Applied Statistics 30:4, pages 397-409.
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ThomasR. Rohleder & EdwardA. Silver. (2002) Statistical process control subject to a labour resource constraint. International Journal of Production Research 40:14, pages 3337-3356.
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GILBERTO. TOLLEY & JOHNR. ENGLISH. (2001) Economic designs of constrained EWMA and combined EWMA-X¯ control schemes. IIE Transactions 33:6, pages 429-436.
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Thomas P. McWilliams, Erwin M. Saniga & Darwin J. Davis. (2001) Economic-Statistical Design of X̄ and R or X̄ and S Charts. Journal of Quality Technology 33:2, pages 234-241.
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DOGANA. SEREL, HERBERT MOSKOWITZ & JEN TANG. (2000) Univariate X¯control charts for individual characteristics in a multinomial model. IIE Transactions 32:12, pages 1115-1125.
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Chao-Yu Chou, Chung-Ho Chen & Hui-Rong Liu. (2000) Economic-statistical design of X ¥ charts for non-normal data by considering quality loss. Journal of Applied Statistics 27:8, pages 939-951.
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Kevin Linderman & Thomas E. Love. (2000) Implementing Economic and Economic Statistical Designs for MEWMA Charts. Journal of Quality Technology 32:4, pages 457-463.
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Kevin Linderman & Thomas E. Love. (2000) Economic and Economic Statistical Designs for MEWMA Control Charts. Journal of Quality Technology 32:4, pages 410-417.
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Manuel Cabral Morais & António Pacheco. (2000) On the performance of combined EWMA schemes for μ and σ: a markovian approach. Communications in Statistics - Simulation and Computation 29:1, pages 153-174.
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W. Matthew Carlyle, Douglas C. Montgomery & George C. Runger. (2000) Optimization Problems and Methods in Quality Control and Improvement. Journal of Quality Technology 32:1, pages 1-17.
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Changsoon Park & Marion R. Reynolds$suffix/text()$suffix/text(). (1999) Economic Design of a Variable Sampling Rate X̄ Chart. Journal of Quality Technology 31:4, pages 427-443.
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Antonio F. B. Costa. (1999) Joint X̄ and R Charts with Variable Sample Sizes and Sampling Intervals. Journal of Quality Technology 31:4, pages 387-397.
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William H. Woodall & Douglas C. Montgomery. (1999) Research Issues and Ideas in Statistical Process Control. Journal of Quality Technology 31:4, pages 376-386.
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JerryD. Dechert & KennethE. Case. (1999) An economic model for clinical quality control. Journal of Applied Statistics 26:5, pages 553-562.
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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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Douglas C. Montgomery & William H. Woodall. (1997) Concluding Remarks. Journal of Quality Technology 29:2, pages 157-162.
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ENRIQUE DEL CASTILLO, PATRICK MACKIN & DOUGLASC. MONTGOMERY. (1996) Multiple-criteria optimal design of X¯ control charts. IIE Transactions 28:6, pages 467-474.
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ENRIQUE DEL CASTILLO & DOUGLASC. MONTGOMERY. (1996) A general model for the optimal economic design of X¯ charts used to control short or long run processes. IIE Transactions 28:3, pages 193-201.
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JAMESR. SIMPSON & J. BERT KEATS. (1995) Trade-off analysis versus constrained optimization with an economic control chart model. IIE Transactions 27:6, pages 765-772.
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J. SHEIL. (1995) An economic approach towards using individual measurements to control the mean of continuously monitored processes. International Journal of Production Research 33:11, pages 2959-2971.
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E. DEL CASTILLO. (1995) Relations between control chart design variables and production control. International Journal of Production Research 33:10, pages 2709-2721.
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James C.-C. Torng, Jeffery K. Cochran, Douglas C. Montgomery & Frederick P. Lawrence. (1995) Implementing Statistically Constrained Economic EWMA Control Charts. Journal of Quality Technology 27:3, pages 257-264.
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Douglas C. Montgomery, James C.-C. Torng, Jeffery K. Cochran & Frederick P. Lawrence. (1995) Statistically Constrained Economic Design of the EWMA Control Chart. Journal of Quality Technology 27:3, pages 250-256.
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J. Bert Keats, John D. Miskulin & George C. Runger. (1995) Statistical Process Control Scheme Design. Journal of Quality Technology 27:3, pages 214-225.
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Erwin M. Saniga, Darwin J. Davis & Thomas P. McWilliams. (1995) Economic, Statistical, and Economic-Statistical Design of Attribute Charts. Journal of Quality Technology 27:1, pages 56-73.
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ELART VON COLLANI, ERWINM. SANIGA & CHRISTOPH WEIGAND. (1994) ECONOMIC ADJUSTMENT DESIGNS FOR X¯ CONTROL CHARTS. IIE Transactions 26:6, pages 37-43.
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Thomas P. McWilliams. (1994) Economic, Statistical, and Economic-Statistical X̄ Chart Designs. Journal of Quality Technology 26:3, pages 227-238.
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Chuanching Ho & Kenneth E. Case. (1994) Economic Design of Control Charts: A Literature Review for 1981–1991. Journal of Quality Technology 26:1, pages 39-53.
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MohamadR. Nayebpour & WilliamH. Woodall. (1993) An Analysis of Taguchi's On-Line Quality-Monitoring Procedures for Attributes. Technometrics 35:1, pages 53-60.
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KUN-JEN CHUNG & SHIEH-LTANG CHEN. (1992) JOINT ECONOMICALLY OPTIMAL DESIGN OF X¯ AND S2 CONTROL CHARTS. Engineering Optimization 19:2, pages 101-113.
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StephenV. Crowder. (1992) An SPC Model for Short Production Runs: Minimizing Expected Cost. Technometrics 34:1, pages 64-73.
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Erwin M. Saniga. (1991) Joint Statistical Design of X̄ and R Control Charts. Journal of Quality Technology 23:2, pages 156-162.
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