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Intro; Preface; Part I: Statistical Process Control; Part II: Design of Experiments; Part III: Related Areas; To the Memory of Elart von Collani; Contents; Contributors; Part I Statistical Process Control; Phase I Distribution-Free Analysis with the R Package dfphase1; 1 Introduction; 2 Why Distribution-Free Methods in Phase I?; 3 Distribution-Free Phase I Control Charts: A Brief Review; 4 The dfphase1 Package; 5 An Example; 5.1 Description of the Data; 5.2 Phase I Analysis; 6 Conclusions; References
Assessment of Shewhart Control Chart Limits in Phase I Implementations Under Various Shift and Contamination Scenarios1 Introduction; 2 Phase I Application of Control Charts; 3 x and s Control Charts; 4 Phase I Simulations Using Shewhart Control Charts; 5 Results of Simulations; 6 MSE Optimal and Robust L Values for Phase I Charts; 7 Conclusions; Appendix 1: Average Number of Iterations for the Cases of c = 8%; Appendix 2: True Alarm Percentages for the Cases of c = 8%; Appendix 3: Mean Square Errors for the Cases of c = 8%; References; New Results for Two-Sided CUSUM-Shewhart Control Charts
1 Introduction2 One-Sided CUSUM-Shewhart Chart; 2.1 Examples for One-Sided Designs; 3 Two-Sided Case; 3.1 Examples for Two-Sided Designs; 4 Conclusions; Appendix 1: Collocation Design for More Than r=2 Intervals; Appendix 2: Two-Sided CUSUM Chart; References; Optimal Design of the Shiryaev-Roberts Chart: Give Your Shiryaev-Roberts a Headstart; 1 Introduction; 2 The Shiryaev-Roberts Chart, Its Properties and Optimization; 3 Experimental Results; 4 Concluding Remarks; References; On ARL-Unbiased Charts to Monitor the Traffic Intensityof a Single Server Queue; 1 Introduction
1.1 Three Control Statistics: Xn, n and Wn1.2 Xn and the M/G/1 System; 1.3 n and the GI/M/1 System; 1.4 Wn and the GI/G/1 System; 1.5 On the Probability of Null Values of the Control Statistics; 2 Detecting Upward and Downward Shifts in the Traffic Intensity; 2.1 Three Upper One-Sided Charts for the Traffic Intensity; 2.2 A Brief Review of ARL-Unbiased Charts; 2.3 Deriving ARL-Unbiased Charts for the Traffic Intensity; 3 Preliminary Results; 3.1 M/G/1 Queueing System; 3.2 GI/M/1 Queueing System; 3.3 GI/G/1 Queueing System; 3.4 Mixed vs. Discrete Control Statistics; 4 Conclusion; Appendix
Assessment of Shewhart Control Chart Limits in Phase I Implementations Under Various Shift and Contamination Scenarios1 Introduction; 2 Phase I Application of Control Charts; 3 x and s Control Charts; 4 Phase I Simulations Using Shewhart Control Charts; 5 Results of Simulations; 6 MSE Optimal and Robust L Values for Phase I Charts; 7 Conclusions; Appendix 1: Average Number of Iterations for the Cases of c = 8%; Appendix 2: True Alarm Percentages for the Cases of c = 8%; Appendix 3: Mean Square Errors for the Cases of c = 8%; References; New Results for Two-Sided CUSUM-Shewhart Control Charts
1 Introduction2 One-Sided CUSUM-Shewhart Chart; 2.1 Examples for One-Sided Designs; 3 Two-Sided Case; 3.1 Examples for Two-Sided Designs; 4 Conclusions; Appendix 1: Collocation Design for More Than r=2 Intervals; Appendix 2: Two-Sided CUSUM Chart; References; Optimal Design of the Shiryaev-Roberts Chart: Give Your Shiryaev-Roberts a Headstart; 1 Introduction; 2 The Shiryaev-Roberts Chart, Its Properties and Optimization; 3 Experimental Results; 4 Concluding Remarks; References; On ARL-Unbiased Charts to Monitor the Traffic Intensityof a Single Server Queue; 1 Introduction
1.1 Three Control Statistics: Xn, n and Wn1.2 Xn and the M/G/1 System; 1.3 n and the GI/M/1 System; 1.4 Wn and the GI/G/1 System; 1.5 On the Probability of Null Values of the Control Statistics; 2 Detecting Upward and Downward Shifts in the Traffic Intensity; 2.1 Three Upper One-Sided Charts for the Traffic Intensity; 2.2 A Brief Review of ARL-Unbiased Charts; 2.3 Deriving ARL-Unbiased Charts for the Traffic Intensity; 3 Preliminary Results; 3.1 M/G/1 Queueing System; 3.2 GI/M/1 Queueing System; 3.3 GI/G/1 Queueing System; 3.4 Mixed vs. Discrete Control Statistics; 4 Conclusion; Appendix