The problem of optimal control of the parameters of the production flow line - stocks (work in process) and the rate of processing of objects of labour for a technological operation is considered. The article presents a mathematical formulation of the problem of controlling the parameters of a...

The paper discusses methods of constructing the kinetic equation of the technology process. The article presents a model of the interaction of objects of labour with technological equipment, which is the basis for the derivation of the kinetic equation. To describe the state of the production...

The development of analytical methods for calculating the parameters of a composite conveyor line using the models containing partial differential equations. To calculate the parameters of the conveyor line with a constant speed of movement of subjects of labour, the apparatus of mathematical...

This paper proposes a generalized exponential moving average (EMA) model, a new stochastic volatility model with time-varying expected return in financial markets. In particular, we effectively apply a particle filter (PF) to sequential estimation of states and parameters in a state space...

In this chapter we present Kriging also known as a Gaussian process (GP) model which is a mathematical interpolation method. To select the input combinations to be simulated, we use Latin hypercube sampling (LHS); we allow uniform and non-uniform distributions of the simulation inputs. Besides...

Duration intervals measure the dynamic impact of advertising on sales. More precise, the p per cent duration interval measures the time lag between the advertising impulse and the moment that p per cent of its effect has decayed. In this paper, we derive an expression for the duration interval...

It's time for a fresh look, a new perspective, on investment performance evaluation, because performance evaluation is conducted much the same way today as it was 30 years ago. While peer groups and indexes have painted fuzzy evaluative pictures, a modern-day application of classical statistics...

This study investigates why the strong form of the spatial equilibrium is weakly supported in the literature. Using a discrete choice model, it shows that the strong form of the spatial equilibrium is rarely observed because workers are imperfectly mobile from the perspective of researchers....

Russian Abstract: Рассмотрены основные элементы технологического процесса. Показана их взаимосвязь между собой в ходе движения предмета труда по технологическому...