Vol. 39 No. 1 (206) (2005)

The present paper is devoted to the study of optimal control of pollution. It’s assumed that the variable of stock of pollution is included into the utility function. The algorithm of the evaluation of optimal solution is given. The algorithm is based on the method of random search.

The queueing model M_r|G_r|1|∞ with head – of-the-line priority discipline and with the additional Poisson stream of signals is considered. The arising signal destroys the customers being in model. The stationary distribution of queue length for this model is of tained in terms of generating functions.

Problems of determination of stress-strain state in isotropic homogeneous wedge under concentrated load at the vertex are presented in most of the monographs on theory of elasticity. Solutions of similar problems for anisotropic wedges are presented in monograph by S.G. Lekhnickiy. In the present paper wedges, composed of two homogeneous ones, are considered. It is shown, that the elementary solutions, representing logarithmic singularity of displacements are insufficient for general solution of the problem. A partial class of problems is determined, for which analytic solutions are obtained.

In this article Stockmeyer’s theorem is generalized and a quick and practically effective algorithm for solving floorplanning problem is represented.

Different versions of X-ray symmetric interferometers with Bragg reflections are investigated. These interferometers with beam splitter, reflecting mirrors and analyzer are constructed from monolithic Si crystal. Versions of symmetric BBB-interferometers with optimal lamella thickness are calculated and experimentally tested.

Auger transition of a free electron to an edge dislocation is considered in the n-type semiconductor, accompanied by lattice polarization and formation of self-localized state along the dislocation (so-called «condenson»). The capture probability is obtained, as a function of dislocation fill-factor by electrons, energy level depth, and lattice polarization energy.

In the paper the results of visualization of the isostrain lines for local regions of dislocation Si monocrystals by joint application of X-ray Moire and Pendellosung Fringes methods are presented.