Алгоритмизация исследования качества работы системы массового обслуживания
We construct the optimal strategy for management system with variable structure, which is described by a controlled semi-Markov process with a finite set of states. An algorithm for solving the problem and the results of numerical experiments
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.