Kniha: Computation of AOQL variables sampling plans - Nikola Kaspříková; Jindřich Klůfa

Table of Contents

Summary ...................................................................................................................................6

Table of Mathematical Symbols ........................................................................................8

1 Introduction .................................................................................................................11

1.1 Basic notions of acceptance sam pling.................................................................11

1.2 Sampling inspection by attrib u tes....................... 13

1.3 Sampling inspection by variables........................................................................15

1.4 (PI. P2) sampling plans ........................................................................................ 1G

1.5 AOQL and LTPD plans .........................................................................................18

1.6 Probability distributions used in acceptance sampling ...............................20

1.7 Some tools for testing the normal distribution assum ption.......................25

1.8 Overview of R functions for testing normality ...............................................28

2 A O Q L VARIABLES PI.ANS AND COMPARISON WITH THE ATTRIBUTES PLANS 31

2.1 Introduction.................................................................................................................31

2.2 AOQL plans for inspection by variables and attributes .............................33

2.3 Calculation and economical aspects of the AOQL plans for inspection

by variables and attribu tes....................................................................................38

2.4 Evaluation of efficiency for Lot, Tolerance Percent Defective plans ___ 42

2.4.1 Introduction.........................................................................................................43

2.4.2 Calculation and economic characteristics of LTPD plans for

inspection by variables and attributes .......................................................43

2.4.3 Conclusions ..........................................................................................................47

3 Tools fo r com putation o f A O QL variables plans ...............................49

3.1 A primer on the R language for statistical computing ...............................49

3.2 The R package for computation of AOQL sampling plans .......................50

3.2.1 AOQL plans with LTPDvar package..........................................................52

3.2.2 Functions for computation of sampling plans .........................................55

3.2.3 Note on theoretical background of the computations of plans ..........71

3.2.4 Performance of the LTPDvar functions for AOQL plans ....................74

4. F urther D evelopm ent ..........................................................................................79

4.1 Optimization techniques ........................................................................................80

4.1.1 Case study 1: Differential evolution and threshold accepting ...........81

4.1.2 Case study 2: Local search and threshold accepting............................87

Bibliography...........................................................................................................................93

Index..........................................................................................................................................95

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