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  Effect of Markoff’s model on Economic design of X- bar control chart for independent observations

  Manzoor A. Khanday and J. R. Singh

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.2 , Issue.2 , pp.1-6, Dec-2015

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  Abstract
  In this paper, an attempt is made to determine the effect of Markoff’s model on the economic design of - control chart for independent observation. We have calculated the optimum value of sample size n and sampling interval h. Tables for n and h are available for different values of k. The presence of positive and negative autocorrelation parameters seriously affects the optimum sample size and sampling intervals. Thus, there is a need for a procedure which enables us to deal with the observations which are independent, to design control charts accordingly continue our search for the assignable causes of variation and for the optimum parameters. It may be inferred that autocorrelation seriously affects the optimum value of the sample size and optimum sampling interval. It is necessary to point out that the observations from the population should be taken in to account while designing a control chart as the optimum values of the control chart parameters are affected by the measurement of the population.

  Key-Words / Index Term
  Economic Design Control Chart; Autocorrelation; Markoff’s model; Edgeworth series

  References
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  Citation
  Manzoor A. Khanday and J. R. Singh, "Effect of Markoff’s model on Economic design of X- bar control chart for independent observations," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.2, Issue.2, pp.1-6, 2015