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Original Articles

Design of double- and triple-sampling X-bar control charts using genetic algorithms

Pages 1387-1404 | Published online: 14 Nov 2010

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

Read on this site (30)

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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Collen M. Motsepa, Jean-Claude Malela-Majika, Philippe Castagliola & Sandile C. Shongwe. (2023) Double sampling monitoring schemes: a literature review and some future research ideas. Communications in Statistics - Simulation and Computation 52:8, pages 3391-3419.
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Mohammad Reza Maleki, Ali Salmasnia & Shayesteh Yarmohammadi Saber. (2022) The Performance of Triple Sampling X Control Chart with Measurement Errors. Quality Technology & Quantitative Management 19:5, pages 587-604.
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Faijun Nahar Mim, Michael B. C. Khoo, Sajal Saha & Philippe Castagliola. (2022) Revised triple sampling X̄ control charts for the mean with known and estimated process parameters. International Journal of Production Research 60:16, pages 4911-4935.
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Nasrullah Khan & Muhammad Aslam. (2022) Monitoring road accident and injury using indeterminacy based Shewhart control chart using multiple dependent state repetitive sampling. International Journal of Injury Control and Safety Promotion 29:3, pages 331-339.
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Collen M. Motsepa, Jean-Claude Malela-Majika, Philippe Castagliola & Sandile C. Shongwe. (2022) A side-sensitive double sampling monitoring scheme with estimated process parameters. Communications in Statistics - Simulation and Computation 51:7, pages 3772-3808.
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J. C. Malela-Majika, C. M. Motsepa & M. A. Graham. (2021) A new double sampling control chart for monitoring an abrupt change in the process location. Communications in Statistics - Simulation and Computation 50:3, pages 917-935.
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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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Jaime Mosquera & Francisco Aparisi. (2020) Optimal double sampling control chart based on gauges. Quality Engineering 32:4, pages 693-704.
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Ming Ha Lee & Michael B. C. Khoo. (2017) Synthetic double sampling s chart. Communications in Statistics - Theory and Methods 46:12, pages 5914-5931.
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Muhammad Aslam, Nasrullah Khan & Chi-Hyuck Jun. (2016) A control chart for time truncated life tests using Pareto distribution of second kind. Journal of Statistical Computation and Simulation 86:11, pages 2113-2122.
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Marcela A.G. Machado & Antonio F.B. Costa. (2014) A side-sensitive synthetic chart combined with an chart. International Journal of Production Research 52:11, pages 3404-3416.
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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 & Cheng-Shih Lin. (2012) Adaptive Max charts for monitoring process mean and variability. Journal of the Chinese Institute of Industrial Engineers 29:3, pages 193-205.
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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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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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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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MichaelB.C. Khoo, How Chinh Lee, Zhang Wu, Chung-Ho Chen & Philippe Castagliola. (2010) A synthetic double sampling control chart for the process mean. IIE Transactions 43:1, pages 23-38.
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Narges Bateni & Ali Z. Hamadani. (2009) Computation of the probability of a process being in control at the third stage for the TS X chart. International Journal of Production Research 47:24, pages 7069-7073.
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Chau-Chen Torng & Pei-Hsi Lee. (2009) The Performance of Double Sampling Control Charts Under Non Normality. Communications in Statistics - Simulation and Computation 38:3, pages 541-557.
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Chau-Chen Torng, Pei-Hsi Lee & Chun-Chieh Tseng. (2009) AN ECONOMIC DESIGN OF TUKEY'S CONTROL CHART. Journal of the Chinese Institute of Industrial Engineers 26:1, pages 53-59.
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Y-K Chen & H-H Chang. (2008) Economic design of variable parameters X̄ control charts for processes with fuzzy mean shifts. Journal of the Operational Research Society 59:8, pages 1128-1135.
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MarionR. Reynolds$suffix/text()$suffix/text() & Keunpyo Kim. (2007) Multivariate Control Charts for Monitoring the Process Mean and Variability Using Sequential Sampling. Sequential Analysis 26:3, pages 283-315.
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Y-K Chen. (2007) Economic design of an adaptive T2 control chart. Journal of the Operational Research Society 58:3, pages 337-345.
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J. Carlos García-Díaz & Francisco Aparisi. (2005) Economic design of EWMA control charts using regions of maximum and minimum ARL. IIE Transactions 37:11, pages 1011-1021.
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DAVID HE & ARSEN GRIGORYAN. (2005) Multivariate multiple sampling charts. IIE Transactions 37:6, pages 509-521.
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Marion R. Reynolds$suffix/text()$suffix/text() & Keunpyo Kim. (2005) Multivariate Monitoring of the Process Mean Vector with Sequential Sampling. Journal of Quality Technology 37:2, pages 149-162.
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A. Grigoryan & D. He . (2005) Multivariate double sampling |S| charts for controlling process variability. International Journal of Production Research 43:4, pages 715-730.
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Lie-Fern Hsu. (2004) Note on ‘Design of double- and triple-sampling X-bar control charts using genetic algorithms’. International Journal of Production Research 42:5, pages 1043-1047.
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Articles from other publishers (55)

José Jorge Muñoz, Manuel J. Campuzano & Verónica Deibe-Blanco. (2023) Design and Optimization of c-Control Chart Using a Triple Sampling Scheme. Stochastics and Quality Control 38:2, pages 79-93.
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Salah Haridy, Batool Alamassi, Ahmed Maged, Mohammad Shamsuzzaman, Ali Al Owad & Hamdi Bashir. (2023) Economic statistical model of the np chart for monitoring defectives. Scientific Reports 13:1.
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Emmanuel Afuecheta, Mujahida Sayyed, Idika E. Okorie & Saralees Nadarajah. (2023) A compound exponential distribution with application to control charts. Journal of Computational and Applied Mathematics 417, pages 114598.
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Jose Jorge Muñoz, Manuel J. Campuzano & Jaime Mosquera. (2022) Optimized np Attribute Control Chart Using Triple Sampling. Mathematics 10:20, pages 3791.
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Adamu A. Umar, Michael B. C. Khoo, Sajal Saha & Abdul Haq. (2022) Effect of measurement errors on triple sampling X¯${{\bar{\bm X}}}$ chart. Quality and Reliability Engineering International 38:4, pages 1886-1908.
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Muhammad Aslam, Aamir Saghir & Liaquat Ahmad. 2020. Introduction to Statistical Process Control. Introduction to Statistical Process Control 161 189 .
Muhammad Aslam, Aamir Saghir & Liaquat Ahmad. 2020. Introduction to Statistical Process Control. Introduction to Statistical Process Control 57 90 .
Pei-Hsi Lee, Chau-Chen Torng & Hao-Ren Jhong. (2020) The Performance Study of Double Sampling Coefficient of Variation Control Charts. The Performance Study of Double Sampling Coefficient of Variation Control Charts.
Amjad D. Al-Nasser, Enrico Ciavolino & Amer Al-Omari. (2020) EXTREME RANKED REPETITIVE SAMPLING CONTROL CHARTS. Pesquisa Operacional 40.
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Chauchen Torng & Haoren Jhong. 2020. HCI International 2020 – Late Breaking Posters. HCI International 2020 – Late Breaking Posters 270 278 .
Srinivasa Rao Gadde, A. K. Fulment & P. K. Josephat. (2019) Attribute control charts for the Dagum distribution under truncated life tests. Life Cycle Reliability and Safety Engineering 8:4, pages 329-335.
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Abdul Haq & Michael Boon Chong Khoo. (2019) A synthetic double sampling control chart for process mean using auxiliary information. Quality and Reliability Engineering International 35:6, pages 1803-1825.
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Theodoros Perdikis & Stelios Psarakis. (2019) A survey on multivariate adaptive control charts: Recent developments and extensions. Quality and Reliability Engineering International 35:5, pages 1342-1362.
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Muhammad Aslam & Nasrullah Khan. (2019) A new variable control chart using neutrosophic interval method-an application to automobile industry. Journal of Intelligent & Fuzzy Systems 36:3, pages 2615-2623.
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Muhammad Aslam, Rashad A. R. Bantan & Nasrullah Khan. (2019) Design of X-Bar Control Chart Using Multiple Dependent State Sampling Under Indeterminacy Environment. IEEE Access 7, pages 152233-152242.
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Muhammad Aslam. (2019) Design of X-Bar Control Chart for Resampling Under Uncertainty Environment. IEEE Access 7, pages 60661-60671.
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Mansour Sattam Aldosari, Muhammad Aslam, Nasrullah Khan & Chi-Hyuck Jun. (2018) Design of a New Variable Shewhart Control Chart Using Multiple Dependent State Repetitive Sampling. Symmetry 10:11, pages 641.
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Mansour Sattam Aldosari, Muhammad Aslam, Chi-Hyuck Jun & Khushnoor Khan. (2018) A New Control Chart for Monitoring the Process Mean Using Successive Sampling and Multiple Dependent State Repetitive Sampling. Technologies 6:3, pages 70.
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Francisco Aparisi & Linda Lee Ho. (2018) M-ATTRIVAR: An attribute-variable chart to monitor multivariate process means. Quality and Reliability Engineering International 34:2, pages 214-228.
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Erica Leandro Bezerra, Linda Lee Ho & Roberto da Costa Quinino. (2018) : An optimized attribute control chart to monitor process variability . International Journal of Production Economics 195, pages 287-295.
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Z. L. Chong, M. B. C. Khoo, W. L. Teoh, W. C. Yeong & S. Y. Teh. (2017) Group Runs Double Sampling np Control Chart for Attributes. Journal of Testing and Evaluation 45:6, pages 20160226.
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Muhammad Azam, Asma Arshad, Muhammad Aslam & Chi-Hyuck Jun. (2016) A Control Chart for Monitoring the Process Mean Using Successive Sampling Over Two Occasions. Arabian Journal for Science and Engineering 42:7, pages 2915-2926.
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Azamsadat Iziy, Bahram Sadeghpour Gildeh & Ehsan Monabbati. (2017) Comparison Between the Economic-Statistical Design of Double and Triple Sampling X¯\bar{X} Control Charts. Stochastics and Quality Control 32:1, pages 49-61.
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Mansour Sattam Aldosari, Muhammad Aslam & Chi-Hyuck Jun. (2017) A New Attribute Control Chart Using Multiple Dependent State Repetitive Sampling. IEEE Access 5, pages 6192-6197.
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Linda Lee Ho & Francisco Aparisi. (2016) ATTRIVAR: Optimized control charts to monitor process mean with lower operational cost. International Journal of Production Economics 182, pages 472-483.
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John N. Dyer. (2016) Monte Carlo Simulation Design for Evaluating Normal-Based Control Chart Properties. Journal of Modern Applied Statistical Methods 15:2, pages 580-626.
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Michael B. C. Khoo, J. L. Khoo, W. C. Yeong & W. L. Teoh. (2016) A comparative study between the variable sampling interval X and Double Sampling X Charts. A comparative study between the variable sampling interval X and Double Sampling X Charts.
Bulut Aslan, Yeliz Ekinci & Ayhan Özgür Toy. 2016. Intelligent Decision Making in Quality Management. Intelligent Decision Making in Quality Management 101 125 .
W. L. Teoh, Michael B. C. Khoo, Philippe Castagliola & S. Chakraborti. (2015) A median run length-based double-sampling X ¯ $$ \overline{X} $$ chart with estimated parameters for minimizing the average sample size. The International Journal of Advanced Manufacturing Technology 80:1-4, pages 411-426.
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Silvia Joekes, Marcelo Smrekar & Emanuel Pimentel Barbosa. (2015) Extending a double sampling control chart for non-conforming proportion in high quality processes to the case of small samples. Statistical Methodology 23, pages 35-49.
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Zhi Lin Chong, Michael B.C. Khoo & Philippe Castagliola. (2014) Synthetic double sampling np control chart for attributes. Computers & Industrial Engineering 75, pages 157-169.
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Wei Lin Teoh, Michael B. C. Khoo & Sin Yin Teh. (2013) Optimal Designs of the Median Run Length Based Double Sampling X̄ Chart for Minimizing the Average Sample Size. PLoS ONE 8:7, pages e68580.
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Michael B.C. Khoo, W.L. Teoh, Philippe Castagliola & M.H. Lee. (2013) Optimal designs of the double sampling X¯ chart with estimated parameters. International Journal of Production Economics 144:1, pages 345-357.
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Pei-Hsi Lee. (2013) Joint statistical design of and s charts with combined double sampling and variable sampling interval. European Journal of Operational Research 225:2, pages 285-297.
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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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Yan-Kwang Chen & Chien-Yue Chen. (2012) Economic Design of Cumulative Conformance Count Charts with Variable Sampling Intervals. Arabian Journal for Science and Engineering 37:7, pages 2079-2088.
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Pei-Hsi Lee, Chau-Chen Torng & Li-Fang Liao. (2012) An economic design of combined double sampling and variable sampling interval control chart. International Journal of Production Economics 138:1, pages 102-106.
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Wei Lin Teoh & Michael B. C. Khoo. (2012) A preliminary study on the double sampling X-bar chart with unknown parameters. A preliminary study on the double sampling X-bar chart with unknown parameters.
Pei-Hsi Lee. (2011) Adaptive charts with variable parameters. Computational Statistics & Data Analysis 55:5, pages 2003-2010.
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Pei-Hsi Lee, Chau-Chen Torng, Huang-Sheng Liao & Chun-Chieh Tseng. (2009) The statistical performance of double sampling X̃ control charts for correlation data. The statistical performance of double sampling X̃ control charts for correlation data.
Chau-Chen Torng, Pei-Hsi Lee, Huang-Sheng Liao & Nai-Yi Liao. (2009) An economic design of double sampling X¯ charts for correlated data using genetic algorithms. Expert Systems with Applications 36:10, pages 12621-12626.
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Francisco Aparisi & Marco A. de Luna. (2009) Synthetic- control charts optimized for in-control and out-of-control regions . Computers & Operations Research 36:12, pages 3204-3214.
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Chau-Chen Torng, Pei-Hsi Lee & Nai-Yi Liao. (2009) An economic-statistical design of double sampling control chart. International Journal of Production Economics 120:2, pages 495-500.
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İhsan Kaya. (2009) RETRACTED: A genetic algorithm approach to determine the sample size for control charts with variables and attributes. Expert Systems with Applications 36:5, pages 8719-8734.
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Yan-Kwang Chen. (2007) Economic design of T2 control charts with the VSSI sampling scheme. Quality & Quantity 43:1, pages 109-122.
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Marcela A.G. Machado & Antonio F.B. Costa. (2008) The double sampling and the EWMA charts based on the sample variances. International Journal of Production Economics 114:1, pages 134-148.
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Charles W. Champ & Francisco Aparisi. (2007) Double sampling hotelling's T 2 charts . Quality and Reliability Engineering International 24:2, pages 153-166.
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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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Yan-Kwang Chen & Kun-Lin Hsieh. (2007) Hotelling’s T2 charts with variable sample size and control limit. European Journal of Operational Research 182:3, pages 1251-1262.
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Francisco Aparisi & J. Carlos García-Díaz. (2007) Design and optimization of EWMA control charts for in-control, indifference, and out-of-control regions. Computers & Operations Research 34:7, pages 2096-2108.
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Yan-Kwang Chen, Kun-Lin Hsieh & Cheng-Chang Chang. (2007) Economic design of the VSSI control charts for correlated data. International Journal of Production Economics 107:2, pages 528-539.
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Abdul Sattar Jamali, Li Jin Lin, M. Usman Keerio & Altaf Rajpar. (2007) Performance Measure of Shewhart Control Chart for Armature Resistance Process. Information Technology Journal 6:4, pages 573-578.
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Yan-Kwang Chen. (2007) Adaptive sampling enhancement for Hotelling’s T2 charts. European Journal of Operational Research 178:3, pages 841-857.
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Lie-Fern Hsu. (2007) Note on ‘Construction of Double Sampling s-Control Charts for Agile Manufacturing’. Quality and Reliability Engineering International 23:2, pages 269-272.
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David He & Arsen Grigoryan. (2006) Joint statistical design of double sampling and s charts. European Journal of Operational Research 168:1, pages 122-142.
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