Introduction to Statistical Process Control. Muhammad Amir Aslam

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 parametersn_Nɛ{3, 4} and r₀...Table 3.5 Neutrosophic ARL (NARL) values for chart parametersn_Nɛ{4, 6} and r₀...Table 3.6 Neutrosophic ARL (NARL) values for chart parametersn_Nɛ{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