One of the essential questions of the system theory makes an appearance a work out methods of dynamically research of complex system, functioning in fuzzy condition . The basics indications, what to complicate this question are followings:

After performance theirs attributes, to define a minimal element of the vector. That process repeats for all branches, what to connect source positions with a arc. In this connection to define maximum element of minimal vectors and let to perform the branches, becoming of the same value.

## A.N. Afanasiev, Sibiryov V.V., Kornienko V.V. Automation of managing in educational organizations

This work is set of tools for automation and simplification work of heads of educational organizations in field of collecting, storing and analyzing information about teachers, students and organization.

This automation help to solve next tasks: save time in collecting, storing and processing administrative information; rising of work effectivity; preparing of statistical diagrams; checking for a set of important values and parameters; rise up technical culture of director state.

In works with system was reached: satisfaction of informational user’s needs; work with large data arrays of teacher and pupil list; build of comfortable screen forms for non-trained users; limitations of access to databases.

Databases of system contains information about teacher and students in found of their personal files, stored in organization. This information completely full and mostly using in filters of reports.

From databases system can get next reports: sorted and filtered lists of teacher and students; preparing of yearly reports in ОШ-1 form; statistical diagrams and graphics for analyzing; preparing timetable of studies.

This system is released in Delphi 4 environment. Database’s tables format is Paradox. Statistical information for each years is storing in archive and can be used in rollback. Some of yearly information is storing in readable form for future analyzing of yearly changes and tendencies. Contact e-mail: __krino@ulstu.ru__

## M. A. Knyazeva, V. D. Guzhavin SUBSYSTEM OF ASSESSMENT OF TIME COMPLEXITY OF PROGRAMS IN INSTRUMENTAL MODELING SYSTEM OF PROGRAM OPTIMIZATION

At the base department of Institute of Automation and Control Processes Instrumental Modeling Expert System of Program Optimization (I_MESOP) is developing. I_MESOP is intended for formalization of knowledge related to systems of optimizing transformations and conducting experiments with them.

Subsystem of Assessment of Time Complexity of Programs (SATCP) was developed to use both with I_MESOP and separately. The input of SATCP contains program in Model of Structured Programs – form(MSP-form), custom parameters and input values of interpretive program. Custom parameters describe the time complexity of basic operations, such as a addition, subtraction, multiplication, division, saving a value to the memory, loading a value from memory, function call and so on. The output of Subsystem of Assessment of Time Complexity of Programs consist of an output of interpretive program and a tree of this program, tree contains a time complexity values for it’s each node.

Since it’s impossible to obtain this result without the program execution, Subsystem of Assessment must be an interpreter of programs in MSP-form, which calculate the time complexity of the interpretive piece of program code. The result of assessment, of course, must fit the requirements for metrics.

## Kuznetsov L.A., Pogodaev A. K., Ovchinnikov V. V. OPTIMIZATION OF QUERIES FOR A RELATIONAL DBMS

The relational expression optimization algorithm is explained in work [1]. In it each step of optimization is based on known equivalent transformations of relational expressions, which application is described verbally. As is known, the verbal exposition of algorithm is surplus and ambiguous. The verbal algorithm is required to be transformed to a more formal aspect for it realizations within the framework of the computing system. Therefore represents practical interest completely to formalize this algorithm for automation of procedures of optimization. In an outcome the formalization of algorithm not only eliminates marked restrictions but also considerably reduces expeditures of labour.

In the report the relational expression formalized model is stated. The developed predicates of a relational expression correctness are represented within the framework of the entered model. The operations of relational expression equivalent transformations on basis of the created model are developed. The formalized algorithm of relational expression optimization is described, the examples of its application are achieved.

In an outcome in work the theory is obtained, which objects are the relational expressions and formal ways of their transformation. The further development of the theory will allow to investigate new possibilities of optimization algorithm improving to remove restrictions of verbal representation and to supply a algorithm realization possibility on the computer.

**References**
1. Ульман Дж. Основы систем баз данных. Пер. с англ. – М.: Финансы и статистика, 1983 – 334с.

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