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Sequential Analysis
Design Methods and Applications
Volume 8, 1989 - Issue 1
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Original Articles

Optimal one-sided shewhart control charts with variable sampling intervals

Marion R. Reynolds Jr. Departments of Statistics and Forestry, Virginia Polytechnic Institute and State University, Blacksburg, 24061, Virginia
&
Jesse C. Arnold Department of Statistics, Virginia Polytechnic Institute and State University, Blacksburg, 24061, Virginia
Pages 51-77 | Published online: 29 Mar 2007

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Saddam Akber Abbasi, Qurat-Ul-Ain Khaliq, M. Hafidz Omar & Muhammad Riaz. (2020) On designing a sequential based EWMA structure for efficient process monitoring. Journal of Taibah University for Science 14:1, pages 177-191.
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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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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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W. C. Yeong, Michael B. C. Khoo, L. K. Tham, W. L. Teoh & M. A. Rahim. (2017) Monitoring the Coefficient of Variation Using a Variable Sampling Interval EWMA Chart. Journal of Quality Technology 49:4, pages 380-401.
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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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George Nenes, Philippe Castagliola & Giovanni Celano. (2017) Economic and statistical design of Vp control charts for finite-horizon processes. IISE Transactions 49:1, pages 110-125.
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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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Farzad Amiri, Kazem Noghondarian & Abdul Sattar Safaei. (2014) Evaluating the performance of variable scheme X-bar control chart: a Taguchi loss approach. International Journal of Production Research 52:18, pages 5385-5395.
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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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Seyed Taghi Akhavan Niaki, Moslem Toosheghanian & Fazlollah Masoumi Gazaneh. (2013) Economic design of VSI X̄ control chart with correlated non-normal data under multiple assignable causes. Journal of Statistical Computation and Simulation 83:7, pages 1279-1300.
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Su-Fen Yang, Chih-Ying Ko & Jin-Tyan Yeh. (2010) Using VSI Loss Control Charts to Monitor a Process with Incorrect Adjustment. Communications in Statistics - Simulation and Computation 39:4, pages 736-749.
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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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Manuel Cabral Morais & António Pacheco. (2007) Shewhart Schemes with Variable Sampling Intervals Revisited. Sequential Analysis 26:3, pages 265-282.
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Shashibhushan B. Mahadik & Digambar T. Shirke. (2007) On the Superiority of a Variable Sampling Interval Control Chart. Journal of Applied Statistics 34:4, pages 443-458.
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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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CHANGSOON PARK, JAEHEON LEE & YOUNGIL KIM. (2004) Economic design of a variable sampling rate EWMA chart. IIE Transactions 36:5, pages 387-399.
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MARIONR. REYNOLDS$suffix/text()$suffix/text() & JESSEC. ARNOLD. (2001) EWMA control charts with variable sample sizes and variable sampling intervals. IIE Transactions 33:6, pages 511-530.
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Marion R. Reynolds$suffix/text()$suffix/text() & Zachary G. Stoumbos. (2001) Monitoring the Process Mean and Variance Using Individual Observations and Variable Sampling Intervals. Journal of Quality Technology 33:2, pages 181-205.
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Jesse C. Arnold & Marion R. Reynolds$suffix/text()$suffix/text(). (2001) CUSUM Control Charts with Variable Sample Sizes and Sampling Intervals. Journal of Quality Technology 33:1, pages 66-81.
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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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Raid W. Amin & Oskar Widmaier. (1999) Sign control charts with variable sampling intervals. Communications in Statistics - Theory and Methods 28:8, pages 1961-1985.
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M. F. Ramalhoto & M. Morais. (1999) Shewhart control charts for the scale parameter of a Weibull control variable with fixed and variable sampling intervals. Journal of Applied Statistics 26:1, pages 129-160.
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George Tagaras. (1998) A Survey of Recent Developments in the Design of Adaptive Control Charts. Journal of Quality Technology 30:3, pages 212-231.
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Manuel Morais & Isabel Natário. (1998) Improving an upper one-sided c-chart. Communications in Statistics - Theory and Methods 27:2, pages 353-364.
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TAPASK. DAS & VIKAS JAIN. (1997) An economic design model for X charts with random sampling policies. IIE Transactions 29:6, pages 507-518.
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Antonio F. B. Costa. (1997) X̄ Chart with Variable Sample Size and Sampling Intervals. Journal of Quality Technology 29:2, pages 197-204.
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Zachary G. Stoumbos & Marion R. Reynolds$suffix/text()$suffix/text(). (1997) Control Charts Applying a Sequential Test at Fixed Sampling Intervals. Journal of Quality Technology 29:1, pages 21-40.
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MARIONR. REYNOLDS$suffix/text()$suffix/text(). (1996) Variable-sampling-interval control charts with sampling at fixed times. IIE Transactions 28:6, pages 497-510.
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Marion R. Reynolds$suffix/text()$suffix/text(). (1996) Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times. Journal of Quality Technology 28:2, pages 199-212.
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Marion R. Reynolds$suffix/text()$suffix/text(), Jesse C. Arnold & Jai Wook Baik. (1996) Variable Sampling Interval X̄ Charts in the Presence of Correlation. Journal of Quality Technology 28:1, pages 12-30.
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Robert V. Baxley$suffix/text()$suffix/text(). (1995) An Application of Variable Sampling Interval Control Charts. Journal of Quality Technology 27:4, pages 275-282.
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Sharad S. Prabhu, Douglas C. Montgomery & George C. Runger. (1994) A Combined Adaptive Sample Size and Sampling Interval X̄ Control Scheme. Journal of Quality Technology 26:3, pages 164-176.
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GEORGE TAGARAS. (1994) A DYNAMIC PROGRAMMING APPROACH TO THE ECONOMIC DESIGN OF X-CHARTS. IIE Transactions 26:3, pages 48-56.
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Changsoon Park & Marion R. Reynolds. (1994) Economic design of a variable sample size -chart. Communications in Statistics - Simulation and Computation 23:2, pages 467-483.
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S. S. PRABHU, G. C. RUNGER & J. B. KEATS. (1993) X¯ chart with adaptive sample sizes. International Journal of Production Research 31:12, pages 2895-2909.
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GEORGEC. RUNGER & DOUGLASC. MONTGOMERY. (1993) ADAPTIVE SAMPLING ENHANCEMENTS FOR SHEWHART CONTROL CHARTS. IIE Transactions 25:3, pages 41-51.
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I.N. Chengalur-Smith, C.Jesse Arnold & R.Marion Reynolds$suffix/text()$suffix/text(). (1993) Multiple means shewhart charts using variable sampling intervals. Journal of Statistical Computation and Simulation 45:1-2, pages 1-21.
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Raid W. Amin & Rohan Hemasinha. (1993) The switching behavior of charts with variable sampling intervals. Communications in Statistics - Theory and Methods 22:7, pages 2081-2102.
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DOUGLASC. MONTGOMERY. (1992) THE USE OF STATISTICAL PROCESS CONTROL AND DESIGN OF EXPERIMENTS IN PRODUCT AND PROCESS IMPROVEMENT. IIE Transactions 24:5, pages 4-17.
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Timothy S. Vaughan. (1992) Variable sampling interval np process control chart. Communications in Statistics - Theory and Methods 22:1, pages 147-167.
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George C. Runger & Joseph J. Pignatiello$suffix/text()$suffix/text(). (1991) Adaptive Sampling for Process Control. Journal of Quality Technology 23:2, pages 135-155.
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Shawky E. Shamma, Raid W. Amin & Amal K. Shamma. (1991) A double exponentially weigiited moving average control procedure with variable sampling intervals. Communications in Statistics - Simulation and Computation 20:2-3, pages 511-528.
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Raid. W Amin & William. C Letsinger$suffix/text()$suffix/text(). (1991) Improved switching rules in control procedures using variable sampling intervals. Communications in Statistics - Simulation and Computation 20:1, pages 205-230.
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MarionR. Reynolds, RaidW. Amin & JesseC. Arnold. (1990) CUSUM Charts With Variable Sampling Intervals. Technometrics 32:4, pages 371-384.
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Marion R. Reynolds$suffix/text()$suffix/text(). (1989) Optimal variable sampling interval control charts. Sequential Analysis 8:4, pages 361-379.
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