Impact of type-II inspection errors on a risk exposure control approach based quality inspection plan

• Stochastic risk exposure model considering type-II inspection error.
• Linear programming for risk exposure based approach for quality inspection plan.
• Guideline to explain how similar results could be used to consider inspection error.

This paper studies the effect of type-II inspection errors on the effectiveness of a quality inspection plan designed utilizing a risk exposure control approach. To do so, the probability of type-II error is integrated into the Material At Risk (MAR) model used to control risk exposure. A linear programming formulation, including the stochastic behaviour of the model, is proposed and solved. Experiments conducted to analyze the effect of inspection error on risk exposure control reveal the computational complexity of the problem. Moreover, the impact of type-II inspection error has been found to be more significant when it becomes high, and then the quality control plan should be adjusted according to the desired confidence level that corresponds to the probability of being above a given risk-exposure threshold. A 3-step method is proposed to give some insights into how to take into account this error, in order to consolidate the risk exposure control approach and design more effective inspection plans.