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Original Articles

Constrained optimization model for the design of an adaptive X chart

Pages 3199-3218 | Published online: 14 Nov 2010

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

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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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A. Costa & S. Fichera. (2021) Economic-statistical design of adaptive arma control chart for autocorrelated data. Journal of Statistical Computation and Simulation 91:3, pages 623-647.
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Ming Ha Lee, Michael B. C. Khoo & Xinying Chew. (2020) Economic-statistical design of variable parameters s chart. Quality Technology & Quantitative Management 17:5, pages 580-591.
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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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Reza Pourtaheri. (2017) Three-level control charts with variable sample size, sampling interval, and control limits. Communications in Statistics - Theory and Methods 46:4, pages 1927-1940.
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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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George Nenes, Konstantinos A. Tasias & Giovanni Celano. (2015) A general model for the economic-statistical design of adaptive control charts for processes subject to multiple assignable causes. International Journal of Production Research 53:7, pages 2146-2164.
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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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Roberto Quinino, A. Costa & Linda Lee Ho. (2012) A Single Statistic for Monitoring the Covariance Matrix of Bivariate Processes. Quality Engineering 24:3, pages 423-430.
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Pei-Hsi Lee, Yi-Chia Chang & Chau-Chen Torng. (2012) A Design of s Control Charts with a Combined Double Sampling and Variable Sampling Interval Scheme. Communications in Statistics - Theory and Methods 41:1, pages 153-165.
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Aurélia Aparecida De Araújo Rodrigues, Eugenio Kahn Epprecht & Maysa Sacramento De Magalhães. (2011) Double-sampling control charts for attributes. Journal of Applied Statistics 38:1, pages 87-112.
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Yu-Chang Lin, Chao-Yu Chou & Chin-Chun Wu. (2010) Adaptive charts with sampling at fixed times under non-normality. Journal of Statistics and Management Systems 13:2, pages 327-349.
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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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Yu-Chang Lin & Chao-Yu Chou. (2009) Economic design of adaptive control charts for skewed data. Journal of Statistics and Management Systems 12:5, pages 829-851.
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AntonioF. B. Costa & MarcelaA. G. Machado. (2008) A New Chart for Monitoring the Covariance Matrix of Bivariate Processes. Communications in Statistics - Simulation and Computation 37:7, pages 1453-1465.
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A. F.B. Costa & M. A.G. Machado. (2008) Bivariate control charts with double sampling. Journal of Applied Statistics 35:7, pages 809-822.
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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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Yu-Chang Lin & Chao-Yu Chou. (2005) Robustness of the Variable Sample Size and Control Limit ¯X Chart to Non Normality. Communications in Statistics - Theory and Methods 34:3, pages 721-743.
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Articles from other publishers (28)

Salah Haridy, Ahmed Maged, Nadin Alherimi, Mohammad Shamsuzzaman & Sondos Al‐Ali. (2024) Optimization design of control charts: A systematic review. Quality and Reliability Engineering International.
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Reza Pourtaheri. (2021) Economic Statistical Design for Three-level Control Charts with Variable Sample Size. Sankhya B 84:1, pages 130-145.
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M. Abolmohammadi, A. Seif, M. H. Behzadi & M. B. Moghadam. (2019) Economic statistical design of adaptive $$\bar{X}$$ control charts based on quality loss functions. Operational Research 21:2, pages 1041-1080.
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Mahmoud Alsaid, Rania M. Kamal & Mahmoud M. Rashwan. (2020) The performance of control charts with economic-statistical design when parameters are estimated. Review of Economics and Political Science 6:2, pages 142-160.
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Oscar Oviedo-Trespalacios & Rita Penabaena-Niebles. (2019) Multi-Objective Approximation for the Optimal Design of Control Charts with Variable Parameters using the Taguchi Loss Function. Multi-Objective Approximation for the Optimal Design of Control Charts with Variable Parameters using the Taguchi Loss Function.
Fatemeh Vakilian, Amirhossein Amiri & Alireza Faraz. (2018) The guaranteed adaptive c ‐charts with estimated parameter . Quality and Reliability Engineering International 34:8, pages 1575-1589.
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Maysa S. De Magalhães & Rodrigo Otávio S. Von Doellinger. (2015) Monitoring linear profiles using an adaptive control chart. The International Journal of Advanced Manufacturing Technology 82:5-8, pages 1433-1445.
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Rita Peñabaena-Niebles, Óscar Oviedo-Trespalacios, Sandra Cuentas-Hernandez & Ethel Garcia-Solano. (2014) Methodology for the implementation of an economic and/or statistical design for x-bar charts with variable parameters (VP). DYNA 81:184, pages 150.
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Rita Peñabaena Niebles, Oscar Oviedo-Trespalacios, Katherine Ramírez & Melissa Morón. (2014) Diseño Económico-Estadístico de Cartas con Parámetros Variables Totalmente Adaptativas en Presencia de Datos Autocorrelacionados. Revista Iberoamericana de Automática e Informática Industrial RIAI 11:2, pages 247-255.
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Pei-Hsi Lee, Yi-Hsien Huang, Tsen-I Kuo & Ching-Cheng Wang. (2011) The effect of the individual chart with variable control limits on the river pollution monitoring. Quality & Quantity 47:4, pages 1803-1812.
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Alireza Faraz, Cédric Heuchenne & Erwin Saniga. (2011) Optimal T 2 Control Chart with a Double Sampling Scheme – An Alternative to the MEWMA Chart . Quality and Reliability Engineering International 28:7, pages 751-760.
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Giovanni Celano, Maysa S. De Magalhães, Antonio F.B. Costa & Sergio Fichera. (2011) A stochastic shift model for economically designed charts constrained by the process stage configuration. International Journal of Production Economics 132:2, pages 315-325.
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Maysa Sacramento de Magalhães & Francisco Duarte Moura Neto. (2011) Economic-statistical design of variable parameters non-central chi-square control chart. Production 21:2, pages 259-270.
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Pei-Hsi Lee. (2011) Adaptive charts with variable parameters. Computational Statistics & Data Analysis 55:5, pages 2003-2010.
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Giovanni Celano. (2011) On the constrained economic design of control charts: a literature review. Production 21:2, pages 223-234.
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Alireza Faraz & Erwin Saniga. (2011) Economic statistical design of a T 2 control chart with double warning lines . Quality and Reliability Engineering International 27:2, pages 125-139.
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M.S. De Magalhães, A.F.B. Costa & F.D. Moura Neto. (2009) A hierarchy of adaptive control charts. International Journal of Production Economics 119:2, pages 271-283.
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Antonio F. B. Costa & Fernando A. E. Claro. (2007) Double sampling % MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX!% MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBamrr1ngBPrwtHrhAYaqeguuDJXwA% KbstHrhAGq1DVbqee0evGueE0jxyaibaieYlf9irVeeu0dXdh9vqqj% -hEeeu0xXdbba9frFj0-OqFfea0dXdd9vqaq-JfrVkFHe9pgea0dXd% ar-Jb9hs0dXdbPYxe9vr0-vr0-vqpWqaaeaabiGaciaacaqabeaada% qabqaaaOqaamaanaaabaGaamiwaaaaaaa!3C35! $$\overline{X} $$ control chart for a first-order autoregressive moving average process model. The International Journal of Advanced Manufacturing Technology 39:5-6, pages 521-542.
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Marcela Aparecida Guerreiro Machado, Maysa Sacramento de Magalhães & Antônio Fernando Branco Costa. (2008) Gráfico de controle de VMAX para o monitoramento da matriz de covariâncias. Production 18:2, pages 222-239.
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Antonio F. B. Costa & Maysa S. De Magalhães. (2006) An adaptive chart for monitoring the process mean and variance. Quality and Reliability Engineering International 23:7, pages 821-831.
Crossref
Antonio F. B. Costa & Marcela A. G. Machado. (2007) Synthetic control charts with two-stage sampling for monitoring bivariate processes. Pesquisa Operacional 27:1, pages 117-130.
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Murat Gülbay & Cengiz Kahraman. (2007) An alternative approach to fuzzy control charts: Direct fuzzy approach. Information Sciences 177:6, pages 1463-1480.
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Shashibhushan B. Mahadik & Digambar T. Shirke. (2007) Economic Design of A Modified Variable Sample Size and Sampling Interval Chart. Economic Quality Control 22:2.
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Yu-Chang Lin & Chao-Yu Chou. (2007) Non-normality and the variable parameters control charts. European Journal of Operational Research 176:1, pages 361-373.
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Maysa S. De Magalhães, Antonio F. B. Costa & Francisco D. Moura Neto. (2006) Adaptive control charts: A Markovian approach for processes subject to independent disturbances. International Journal of Production Economics 99:1-2, pages 236-246.
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Yu-Chang Lin & Chao-Yu Chou. (2005) On the design of variable sample size and sampling intervals charts under non-normality . International Journal of Production Economics 96:2, pages 249-261.
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Eugenio Kahn Epprecht, Antonio Fernando Branco Costa & Flávia Cesar Teixeira Mendes. (2005) Gráficos adaptativos de controle por atributos e seu projeto na prática. Pesquisa Operacional 25:1, pages 113-134.
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Yu-Chang Lin & Chao-Yu Chou. (2005) Adaptive ?X Control Charts with Sampling at Fixed Times. Quality and Reliability Engineering International 21:2, pages 163-175.
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