Usually, in monitoring schemes the nominal value of the process parameter is assumed known. However, this assumption is violated owing to costly sampling and lack of data particularly in healthcare systems. On the other hand, applying a fixed control limit for the risk-adjusted Bernoulli chart causes to a variable in-control average run length performance for patient populations with dissimilar...

Two primal{dual a ne scaling algorithms for linear programming are extended to semide nite programming. The algorithms do not require (nearly) centered starting solutions, and can be initiated with any primal{dual feasible solution. The rst algorithm is the Dikin-type a ne scaling method of Jansen et al. [8] and the second the pure a ne scaling method of Monteiro et al. [12]. The extension of t...