Introduction to Statistical Process Control. Muhammad Amir Aslam

Introduction to Statistical Process Control - Muhammad Amir Aslam


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target="_blank" rel="nofollow" href="#ulink_6d50ddf1-36e6-5b85-a219-3b3f681c57d0">Table 1.2 Probabilities of number of defective items using Poisson distributi...

      2 Chapter 2Table 2.1 The number of defective tires in tire manufacturing plant.Table 2.2 Calculations ofβ function for p‐chart with n = 20, LCL =...Table 2.3 The number of nonconformities per 1000 m in telephone cable.Table 2.4 The imperfection in finished rolls of paper.Table 2.5 Theβ values of c‐chart with UCL = 33.22 and LCL = 6.48....Table 2.6 The average run length of theg‐chart for p0 = 0.20 and n = 5.Table 2.7 The number of orders on each truck.Table 2.8 Control limits for total number of events and average number of eve...Table 2.9 Some numerical values of ARL forθ0 = 0.01, λ0 = 0.8, and Table 2.10 Control limits for total number of events and average number of ev...Table 2.11 Control chart multiplek required to achieve α = 0.0020 for CO...Table 2.12 Control chart multiplek required to achieve α = 0.0020 for CO...Table 2.13 False alarm probability example for COM–Poisson chart.

      3 Chapter 3Table 3.1 Net weight (in ounce) of a dry bleach product.Table 3.2 Construction of

chart for capability index under the repetitive sa...Table 3.3 ARL1 values using the sample sizes n = 5, 10, and 20 when r0 = 200,...Table 3.4 Neutrosophic ARL (NARL) values for chart parametersnNɛ{3, 4} and r0...Table 3.5 Neutrosophic ARL (NARL) values for chart parametersnNɛ{4, 6} and r0...Table 3.6 Neutrosophic ARL (NARL) values for chart parametersnNɛ{9, 10} and rTable 3.7 Average run length values for ARL0 = 300 (Maedh et al., 2017).Table 3.8 Average run length values for ARL0 = 370 (Maedh et al., 2017).

      4 Chapter 4Table 4.1 ARL1 of the proposed control chart for r0 = 370 (Aslam, Nazir, et a...Table 4.2 ARL1 of the proposed control chart for r0 = 300 (Aslam, Nazir, et a...Table 4.3 ARLs of proposed chart whenv = 0.50, μ0 = 3, and ARL0 = 200 (A...Table 4.4 ARLs of proposed chart when v = 0.50, μ0 = 4, and ARL0 = 200 (Asl...Table 4.5 ARLs of proposed chart whenv = 0.50, μ0 = 4, and ARL0 = 500 (A...Table 4.6 ARL comparison between the proposed and Saghir and Lin charts whenvTable 4.7 ARL1 for the proposed chart when r0 = 370 (Aslam et al., 2014).Table 4.8 Comparisons of ARL1 for both charts r0 = 370 (Aslam et al., 2014)....Table 4.9 ARLs of the proposed control chart whenr0 = 370 (Aslam, Azam, et al...Table 4.10 ARL1 values for the proposed chart with i = 2 when r0 = 370 (Aslam...Table 4.11 ARL1 values for the proposed chart with i = 3 when r0 = 370 (Aslam...Table 4.12 Comparison of ARL1 values for proposed chart with i = 3 and Shewha...

      5 Chapter 5Table 5.1 RL characteristics of the EWMA‐MD chart under repetitive sampling f...Table 5.2 RL characteristics of the EWMA‐MD chart under repetitive sampling for ...Table 5.3 RL characteristics of the EWMA‐MD chart under repetitive sampling for Table 5.4 RL characteristics of the EWMA‐MD chart under repetitive sampling for Table 5.5 RL characteristics of the EWMA‐MD chart under repetitive sampling for ...Table 5.6 RL characteristics comparison of the proposed vs. the existing EWMA...Table 5.7 Estimation of control chart coefficientsK1 and K2.Table 5.8 ARL values of the single sampling scheme.Table 5.9 Example of soft drink (Montgomery, 2009).Table 5.10 ARL1 of the proposed chart when λ1 = 0.10 and λ2 = 0.25....Table 5.11 ARL1 of the proposed chart when λ1 = 0.10 and λ2 = 0.50....Table 5.12 ARL1 of the proposed chart when λ1 = 0.10 and λ2 = 0.25....Table 5.13 ARL comparison of proposed control chart with Haq (2013) when λ1Table 5.14 Simulated data for the application.

      6 Chapter 6Table 6.1 Data for the hard bake process of flow width measurements (Montgome...Table 6.2 Data for the calorific values (Elevli, 2006).Table 6.3 Data for the moisture content values (Elevli, 2006).Table 6.4 Data for the ash content values (Elevli, 2006).Table 6.5 The hypothetical 30 observations from the gamma distribution (Khan,...Table 6.6 Transformation of the hypothetical 30 observations from the gamma d...Table 6.7 Transformation of the urinary tract infection from Santiago and Smi...Table 6.8 Values of ARL for p = 0.05.Table 6.9 Values of ARL for p = 0.10.Table 6.10 Values of ARL for p = 0.20.Table 6.11 Values of ARL for p = 0.30.Table 6.12 Values of ARL for p = 0.50.

      7 Chapter 7Table 7.1 Comparison of the ARLs of the upper‐sided Shewhart and modified EWM...Table 7.2 Values of ARL of ISRTp and ISRTp EWMA control charts for p = 0.05, Table 7.3 Comparison of the PEWMA chart, the Shewhartc‐chart, and Gan's EWMA ...Table 7.4 The example data of 40 batches of raw material.Table 7.5 Conditional run length performance of the PEWMA chart with

.Table 7.6 The one‐sided control charting constant for geometric EWMA chart.Table 7.7 ANOS values of negative binomial EWMA chart forp0 = 0.001, r = 2 an...Table 7.8 Charting constantL for COM–Poisson EWMA chart at ARL0=200.Table 7.9 ARL for the COM–Poisson distribution at ARL0=200 and ν = 0.5....Table 7.10 Observed nonconformities in 26 samples of circuit boards.Table 7.11 Comparison of ARLs of control charts with respect to both in‐contr...Table 7.12 ANIS profile upper‐sided geometric Shewhart, geometric CUSUM, Bern...Table 7.13 ARL values of binomial MA control chart based onp = 0.20 and n = 1...Table 7.14 ARL profiles for Poisson moving average versusc‐charts for a...Table 7.15 Optimal design parameters and minimum ARL1 for DMAZIB chart for p0

      8 Chapter 8Table 8.1 ARL1 for the MP control chart with p = 2.Table 8.2 Data set of telecommunication consists of 52 samples from Jiang et ...Table 8.3 ARL1 values of the MCP chart at various dispersion levels

, p = 2,...Table 8.4 Control limit (H) of MPEWMA chart to achieve ARL0 = 200.Table 8.5 ARL values of MP‐CUSUM chart withρ = 0.

      List of Illustrations

      1 Chapter 1Figure 1.1 A typical control chart.Figure 1.2 Standard normal curve.Figure 1.3 Standard normal curve.Figure 1.4 Standard normal curve.Figure 1.5 Standard normal curve.Figure 1.6 Plotting of typical control chart.

      2 Chapter 2Figure 2.1 The p‐chart for the number of defective tires in tire manufacturi...Figure 2.2 The OC curve for tire manufacturing plant process with LCL = 0, U...Figure 2.3 The c‐chart for the number of nonconformities per 1000 m in telep...Figure 2.4 The c‐chart for the number of nonconformities per 1000 m in telep...Figure 2.5 The u‐chart for the number of imperfection in paper mill producti...Figure 2.6 The g‐chart for the total number of orders on five trucks.Figure 2.7 Power curve for T‐chart at n = 10 and v = 1.5.

      3 Chapter 3Figure 3.1

chart of net weight (in ounce) of a dry bleach product.Figure 3.2 R chart for the net weight (in ounce) of a dry bleach product.Figure 3.3 Repetitive group sampling scheme procedure (Ahmad, Aslam, & Jun, ...Figure 3.4 S‐chart for net weight (in ounce) of a dry bleach product data.Figure 3.5
chart using
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