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Demonstrating Deming's Rule using an Economic Model of the CSP-1

Summary: [This abstract is based on the author's abstract.]

The CSP-1 is a popular method for performing outgoing inspection for production processes that produce items on a continuous basis. An economic model of CSP-1 behavior is developed. In constructing the model, a general economic model applicable to all continuous sampling plans is obtained. The general model is based on the assumption that the production process is in control and therefore has a constant proportion nonconforming. As a result of the assumption, the primary usefulness of the model is to show that for processes in a state of statistical control either no inspection or 100% inspection is economically preferred over a continuous sampling plan. The demonstration is a modification of Deming's "kp" rule regarding lot-by-lot acceptance sampling. The economic model can be used to develop a simple decision rule for determining whether no inspection or 100% inspection is optimal for a stable (in control) production process.

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  • Topics: Sampling, Statistical Process Control (SPC), Process Management
  • Keywords: Acceptance sampling,Continuous quality improvement (CQI),Statistical process control (SPC),Deming, W. Edwards,Process improvement,Sampling plans
  • Author: Cassady, M. Richard; Maillart, Lisa M.; Rehmert, Ian J.; Nachlas, Joel A.
  • Journal: Quality Engineering