No 1 (2009)

The model of functioning of a gas deposit is considered. The optimum control problem is put and dares over an Infinite Horizon. Cost of realisation of the gas is included in the criterion description, set by concave function.

In this paper we present a survey of M|G|1 batch service queues which was prepared under performance evaluation of the Stream Control Transmission Protocol (SCTP). The survey is organized in chronological order of the known publications and contains available until now results for probability measures of queues in which jobs are served in batches of fixed and variable size. Some probability measures of virtual waiting time are obtained for SCTP protocol performance analysis.

A general theory of a large class of classical dynamical systems with an external rapidly oscillating driving action is proposed. The main results are the effective equations for the mean motion. The scope of the present work is to generalize the approach to the case when the fast perturbation contains odd and even terms and amplitudes may depend on velocities.

The process of electroosmotic flow in slit microchannel which thickness is of an order of several EDL thicknesses is investigated in this paper. The model and derived analytical solutions allow to predict velocity profiles and time of developing the steady state flow in cases of both altering and current electric field. The results of the simulation are in good agreement with the obtained experimental data.

We study the properties of static, cylindrically symmetric configurations of a perfect fluid in general relativity, with the equation of state p = ωε with arbitrary values ω = const. We thus include into consideration the types of fluids which are now actively studied in cosmology (dark matter, cosmic strings, domain walls, quintessence, cosmic vacuum, phantom matter). Exact solutions to the Einstein equations with such fluids have been obtained for arbitrary values of ω. For any ω, we prove the absence of a flat spatial asymptotic as well as an asymptotic like that of a cosmic string. We show that all such distributions, under some conditions on the integration constants, have a regular axis and a spatial infinity at which the energy density tends to zero (except for configurations with ω = −1/3, which corresponds to a gas of cosmic strings). Thus such a system has a finite energy per unit length along the symmetry axis. In particular, for stiff matter (ω = 1), this quantity is equal to the Planck value of energy per unit length.

This paper introduces the design of the high-voltage and high-efficiency switching power supply and its operating principle, performance as well as main parameters.