Модель планирования водного бизнеса
Any company in market economy faces with a problem of acceptance of strategic decisions, under conditions of uncertainty concerning the future. Under conditions of economic crisis when level of uncertainty increases, this problem becomes especially actual. One of methods for reduction the influence of the uncertainty factor by the company activity, received a new push to development in second half of twentieth century, is the scenario approach. It gives responsibility to analyze the influence of possible changes of factors and their combinations on company's activity and to make a decision on adequacy of strategy of company's development and possibility of its realization in the given economic situation. Given article offers one of possible techniques of the scenario approach with reference to realization of strategy of the company, based on the algorithm within the limits of model of scenarios research, developed by Bryant&Lempert (2010). Simulation model, on the basis of which scenarios are developed, can consider both internal strategic variables, and a considerable amount of external factors which influence company's activity.
Author describes the method of stock replenishment spare parts by automotive dealers based on queuning theory. It is presented, that increase in costs from stock deficit of spare parts and decrease in storage costs lead to greater effective stock value to be stored on dealers’ warehouse. Limits in the model are Poisson type of requestes flows and stock replenishment of spare parts by automotive dealers.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.