Comparing the Economic Effectiveness ofVarious Adaptive Schemes for the c Chart

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Abstract

In an attempt to improve the effectiveness of statistical process control (SPC) procedures, a variety of adaptive schemes hasbeen developed in the last decades. However, considering control charts for attributes, relatively few works about adaptiveschemes have been proposed, and most of them were proposed only recently. The common characteristic of those schemes isthat one or more chart parameters are allowed to adaptively vary during the SPC operations according to the samplinginformation history, typically the current point plotted on the chart. In this way, the adaptive schemes are smarter thanthe related static ones, but they are also more complicated in terms of implementation. The purpose of the present workis to evaluate and compare the economic performance of the main adaptive schemes of a control chart for attributes, in orderto derive conclusions on their relative effectiveness. In particular, the analysis is focused on the c chart that is used to monitorthe total nonconformities number in an inspection unit. A numerical comparative study, based on a 25 1V fractional factorialdesign scheme, to investigate on the influence of several operating and costs parameters, is carried out, and the relatedconsiderations are given. The obtained results show that the chart parameter having the most impact on the economicperformance is the sampling interval. Therefore, in most cases, the use of a c chart with adaptive sampling intervals is thebetter choice than other adaptive schemes, which are also more complicated in terms of implementation
Original languageEnglish
Number of pages20
JournalQuality and Reliability Engineering International
Volume30(5)
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Management Science and Operations Research

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