Markov chain-based cost-optimal control charts
with different shift size distributions

Abstract. Control charts can be applied in a wide range of areas, this paper focuses on generalisations suitable for healthcare applications. We focus on the complete modelling of costs emerging during the process and investigate the effect of different shift size distributions on the optimal time between samplings, critical value and the resulting cost expectation and standard deviation. Namely, we show the results of optimisations for the exponential distribution and exponential-geometric mixture distributions.