Stroganov

The authors solve the problem of constructing a formal model of curriculum and structuring requirements for the minimum specialist training. They propose keeping a terminological glossary that provides the basis for determining performance criteria of developed curricula. Algorithms for calculating the function of forgetting terms are given in the article. The authors consider evaluation of connectivity of disciplines and optimization of the sequence of modules in order to maximize the values ​​of learning functions in all terms. Operations on disciplines, modules and terms for implementation of search operations and editing base operations are listed.

The authors consider formal description of procedures for computer control of knowledge. For the adaptive algorithm of presentation of tests a model of evaluation of its effectiveness in minimizing the probability of misclassification was created. To solve this problem the authors propose to use the Markov chains whose states correspond to the levels of complexity, and transition probabilities are calculated basing on Birnbaum's logistic model. The ratio for stationary probabilities which show a significant advantage of adaptive algorithms for test control were obtained.

In the article a provisionally non-stationary Gaussian process was proposed for analytical research of simulation processes convergence. This Gaussian process was considered as a stationary Gaussian process with a specified pre-history. The authors studied dependence of medium-integral estimation on different factors. It was shown that the trend of the medium-integral estimation had a lasting character, contains a significant systematic error at the initial stage and depends on the process correlation, initial values and time of simulation.

This article deals with the problems of estimation of the character of autocovariance functions and trends of typical output simulated processes, which are necessary when investigating the convergence of search optimization algorithms on simulated models. In order to determine the function class of output simulated processes, simulation of typical structures of queuing networks was conducted, namely disconnected single- and multi-phase queue systems with different service procedures and closed-loop single- and multi-phase queue systems with sources of various population and service procedures.