A Survey of Sampling Procedures for Continuous Production

Abstract

SUMMARY This survey reviews the main papers written on sampling procedures for attribute and continuous variable inspection of continuous production. Dodge-type continuous sampling plans and multi-level plans are described for rectifying inspection of attributes as are the criteria for choosing such plans. A number of models for process control schemes for attributes are given. Then follows an account of the various control chart schemes, e.g. the Shewhart chart and the Cumulative Sum chart, used when continuous variables are observed. The Average Run Length (A.R.L.), the V-mask and decision interval schemes and models for process control are discussed. Finally, there is a criticism of present procedures and a guide to the methods of choosing these various sampling procedures. THis paper sets out to review the papers written in the field of continuous production inspection. These procedures (or plans) are used when it is undesirable to consider inspection in terms of lot-by-lot acceptance plans and the process must be treated continuously in time. All cases considered here assume that sample items are produced at unit time intervals. When inspection takes place it is assumed that either: (a) the items can be correctly classified as defective or non-defective, or (b) a random variable xt is observed which is conditional on the true value mt of the process. The paper will be divided into two main sections which deal with the above two cases.

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