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  Optimum Process Mean Setting for Product with Rework Process Under second order autocorrelation

  Vispute S. and Singh J. R.

  Research Paper | Isroset-Journal (IJSRMSS)

  Vol.1 , Issue.3 , pp.1-12, Jun-2014

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  Abstract
  In Paper the effects of second order autocorrelation on the determination of the optimum process mean in statistical process control. It directly affects the process defective rate, production cost, scrap cost, and rework cost. Lee et al.(2000) presented a filling problem for determining the optimum process mean and screening limits. They considered three grades of product, assumed a normal quality characteristic, and adopted the piecewise linear profit function for measuring the profit per item. However, they have not included the scrap cost and the perfect rework process in their model. In this chapter, we further propose a modified Lee et al.’s model with rework process for determining the optimum process mean under second order autocorrelation when the roots are (i) real and distinct (ii) real and equal and (iii) complex conjugate. Both perfect rework and imperfect rework processes for the product are considered in the model. Negative autocorrelation and positive autocorrelation are seriously affected on optimum mean and expected profit.

  Key-Words / Index Term
  Optimum Process Mean, Autocorrelation, Scrap Cost Nomenclature

  References
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  Citation
  Vispute S. and Singh J. R., "Optimum Process Mean Setting for Product with Rework Process Under second order autocorrelation," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.1, Issue.3, pp.1-12, 2014