In this paper, following the multistage stochastic approach proposed by Rockafellar and Wets, we analyze a class of hierarchical problems: Multistage Stochastic Optimization Problem with Quasi-Variational Inequality Constraints. Such problem is defined in suitable functional setting relative to finite set possible scenarios certain information fields. The key turns out be nonanticipativity: som...

ABSTRACT A platform is proposed for the extraction of nutraceuticals ingredients from natural products, which includes the following three processes: 1. Single-stage extraction using scCO2 (supercritical CO2). 2. Single-stage extraction using of high-pressure hot water and /or hot water with scCO2. 3. Multistage extraction, with counter-currently contact between scCO2 and H2O with the raw mater...

In general, multistage stochastic optimization problems are formulated on the basis of continuous distributions describing the uncertainty. Such “infinite” problems are practically impossible to solve as they are formulated and finite tree approximations of the underlying stochastic processes are used as proxies. In this paper, we demonstrate how one can find guaranteed bounds, i.e. finite tree...

Abstract Variation propagation modeling of multistage machining processes enables variation reduction by making an accurate prediction on the quality a part. Part through models, such as stream and Jacobian-Torsor often focus 3-2-1 fixture layout do not consider form errors. This paper derives mathematical model based dual quaternion for part given parts with errors fixtures N -2-1 ( >3) lay...

The article deals with the theoretical description and experimental study of hydrodynamic heat transfer properties regarding operation multistage gravitational devices fluidized bed inclined perforated shelves. peculiarities work implementation field shelf units are described. A model to define solubilizer’s velocity above perforation holes, in above-shelf space device outloading gap, as well r...