We consider the spline approximation of a continuous (continuously diierentiable) random process with nite second moments based on n observations of the process (and its derivatives). The performance of the approximation is measured by mean errors (e.g., integrated or maximal quadratic mean errors). For Hermite interpolation splines, an optimal rule sets n observation locations (i.e., a design,...

Control charts are one of the critical tools for process monitoring. Test statistics computed as a function sample means in control monitoring mean. In this study, these functions modeled by filters. These filters have essential properties both time and frequency domains. previous studies, only their domain been considered. Thus, resulting sub-optimal performance. This study investigates optima...

a procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. the method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. the main advantage of this systematic procedure with respect to other reported procedures is using non-equilibrium s...

abstract: minimizing the work consumed in refrigeration system is the most effective measure to reduce the cost of products in sub-ambient chemical processes. the introduction of mixed working fluids into refrigeration system in place of pure working fluids is a recent advancement applied in the field. due to the lack of systematic design method for mixed refrigerant cycle (mrc), conventional a...