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

L Bessegato, R Quinino, L L Ho () and L Duczmal
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L Bessegato: Universidade de São Paulo (USP)
R Quinino: Universidade de São Paulo (USP)
L L Ho: Universidade Federal de Minas Gerais (UFMG)
L Duczmal: Universidade de São Paulo (USP)

Journal of the Operational Research Society, 2011, vol. 62, issue 7, 1365-1375

Abstract: 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 p 1—state I) or out-of-control (the fraction of conforming item is p 2—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.

Keywords: quality control; online process control for attributes; economical design; misclassification errors; Markov chain; variable inspection interval (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1057/jors.2010.79

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