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An economic-statistical design is developed for the variable sampling interval (VSI) Poisson exponentially weighted moving average chart, namely the VSI PE chart, where the cost function is minimized by incorporating statistical constraints. The statistical performance measures of the VSI PE chart are derived using the Markov chain approach. A sensitivity analysis based on the design of the experiment is conducted to study the effects of the cost model parameters on the optimal solution. The results show that the VSI PE chart performs better than the fixed sampling interval PE chart, in terms of the expected cost and the statistical performances.

Economic-statistical design of the variable sampling interval Poisson EWMA chart