Comparison Between the Economic-Statistical Design of Double and Triple Sampling X¯\bar{X} Control Charts

Iziy Azamsadat (), Sadeghpour Gildeh Bahram () and Monabbati Ehsan ()
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Iziy Azamsadat: Department of Statistics, Ferdowsi University Of Mashhad (FUM), Mashhad, Iran
Sadeghpour Gildeh Bahram: Department of Statistics, Ferdowsi University Of Mashhad (FUM), Mashhad, Iran
Monabbati Ehsan: Department of Mathematics, Alzahra University, Tehran, Iran

Stochastics and Quality Control, 2017, vol. 32, issue 1, 49-61

Abstract: Control charts have been established as major tools for quality control and improvement in industry. Therefore, it is always required to consider an appropriate design of a control chart from an economical point of view before using the chart. The economic design of a control chart refers to the determination of three optimal control chart parameters: sample size, the sampling interval, and the control limits coefficient. In this article, the double sampling (DS) X¯{\bar{X}} control chart is considered for the economic design using nonlinear mixed integer programming approach. The triple sampling (TS) X¯{\bar{X}} control charts are developed for economic design based on the results of solving the DS X¯{\bar{X}} chart design problems. In this model, we assume that the process must be shut down during the search for the assignable cause. Multiple sampling X¯{\bar{X}} charts can be designed for quick detection of a small shift in process. The results of the comparison between the economic-statistical design of DS and TS X¯{\bar{X}} control charts show that TS X¯{\bar{X}} control charts are more efficient in terms of minimizing the average sample size, but its expected average cost takes larger values.

Keywords: Panagos’s Cost Model; Economic Design (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1515/eqc-2017-0005

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