Variable interval sampling in economical designs for online process control of attributes with misclassification errors

Variable interval sampling in economical designs for online process control of attributes with misclassification errors

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Article ID: iaor20114866
Volume: 62
Issue: 7
Start Page Number: 1365
End Page Number: 1375
Publication Date: Jul 2011
Journal: Journal of the Operational Research Society
Authors: , , ,
Keywords: inspection
Abstract:

Online process control consists of inspecting a single item at every mth items produced, where m is an integer greater than two. Based on the results of the inspection, one decides if the process is in‐control (the fraction of conforming item is p1–state I) or out‐of‐control (the fraction of conforming item is p2–state II). If the inspected item is non‐conforming, the process is designated as out‐of‐control and production is stopped for possible adjustment; otherwise, production goes on. In this paper, a contribution to online process control is presented, where the inspection system is considered to be subject to classification errors. After every adjustment, the sampling interval is L units (L≥m), and in the case of non‐adjustment, the sampling interval is m units. The expression for the average cost per produced item is calculated, and optimum parameters (the sampling intervals L and m) are obtained by a direct search. The procedure is illustrated by a numerical example.

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