PNRPU Bulletin. Electrotechnics, Informational Technologies, Control Systems

The article describes the foundations of the modern modeling language used in the package of optimization LINGO, and in fact, not illuminated in national publications. The concept of language is based on the description of the task by sets of similar objects with common attributes, and on the functions that operate with these sets. The design of language takes into account the structure of most mathematical programming problems and their variety. Set of functions allows you to simulate practically any tasks of mathematical programming: forecasting, planning, design, organization of production, distribution, logistics, the effective implementation of business processes, economic and financial problems in situations of certainty, risk and uncertainty, etc. The features and advantages of the language are most evident when we simulate and solve mathematical programming problems of medium and large dimension, in particular, the compactness of the representation of the mathematical model and the ease of scaling the modeled tasks. A structured representation of the problem model allows us to separate the optimization model from the data, to enter the sections of the preliminary calculations (e.g., average and dispersion) and of set the initial conditions. The modeling language viewed in the article enables in one description to specify the variance of the solution of tasks, to allocate sub-models and from them to form the necessary combinations, each of which is solved as a single task. The language includes means of programming which allow to enter data directly into the model or to obtain them from external sources (text files, spreadsheets, databases, and custom applications), and to transfer the results of solution on the screen or in external files, databases, etc. The examples in the article demonstrate the flexibility of the LINGO modeling language, and the compactness of received models.Keywords: modeling language, tasks of mathematical programming, LINGO.

The performance potential of optical and laser technologies offers the great challenge of using them in many industries and areas of science effectively. High interference immunity due to precise directionality and monochromatic radiation is the important benefit of the optical, laser and LED systems. However, the predominant features of the optical and laser amplifiers, and today's optical emission source, lead to some trouble. For example, high intensity precise directional electromagnetic radiation is factored into the test program with the use of a portable high-precision system. The most significantly factor is that laser targeting is used for the detection and tracking of dynamic objects of any shapes. However, the moving objects are the short-term objectives or are positioned in the field of vision wider than the laser beam size. Therefore, marginally angular spreading of the light and laser beam makes difficult the detection and tracking of moving objects. This phenomenon is observed in optical, LED, optoelectronic and laser systems for various purposes. In order to eliminate this factor, the laser beam scanning across the field of vision is used most often. The field of vision, in which the moving object is located, and scan time are two of the main criteria for detection and tracking of objects by laser systems. To expand the field of vision the laser systems is installed in multimotion control platform. In this paper we propose a model of a four degree-of-freedom motion platform. Also we investigate, using computational modeling and simulation, the potential of the multimotion platform to expand the field of vision of the laser systems and we receive influence from other variables. With the aid of computer modeling, it is verified that simulations agree with theory and experimental data.

There is a legend that in the jungles of Vietnam, there is a lost city of Benares, and in it a Buddhist monastery, which marks the center of the world. Long ago, the monks of this monastery is something guilty before God Brahma. Enraged, Brahma on a bronze disk erected three high bar and one of them strung 64 disc made of pure gold. And so that each disc is smaller at greater. And he laid on the monks 'obedience' passing the disc from the first to the third rod, using an intermediate second, so that is always smaller drives were over big - that is not somehow, and "respecting the laws of Brahma." Once all of the 64 disc will be shifted from the first to the third, strangely enough, the monks will not be forgiven, but rather the tower together with the temple will turn to dust and die under the thunder the whole world. For 64 this ring 446 744 073 18 709 551 615 rearrangements, and, given the speed of shifting in one second, per 584 542 046 091 years. In Hanoi, the tower does have a very far-away from that described in the legend - the unofficial symbol of the city. But "three diamond stud height of one cubit, and the thickness of a bee" is more of the three towers, so probably more correct to say "Towers of Hanoi". According to the sources, the legend and the game invented by the French mathematician François Edouard Anatole Lucas (François Édouard Anatole Lucas; 1842 -1891). Probably, the legend and the name of the game is inspired by the exotic Vietnam - because at the time it was colonized by France. Currently we considered the problem with four or more wheels, but we limit ourselves to the classical version. Currently we considered the problem with four or more wheels, but we limit ourselves to the classical version. Practical application of the problem of the Towers of Hanoi, which in terms of graph theory called "finding the shortest path in the graph with edges of unit length" is often illustrated, for example, intelligent truck when the diameter of the disc - it is the size of cargo in a warehouse and you must move the "tower" of goods from one site to another, using a staging area (free area - its weight in gold!). If larger in size of the load is smaller - can fall! The rods can also be represented processor stacks and "drives" - addresses of subroutines or interrupt requests, the priorities of which are ordered. The rods may be some levels, for example, security. The article deals with the algorithms for solving the problem of the Towers of Hanoi for three rods.

Computer networks have appeared rather recently and nowadays it’s hard to imagine an organization which don’t have the Internet connection or don’t have its own corporate network. It is necessary to configure network equipment and maintain its operability for network control. The most widespread way is remote control, implemented by means of various protocols. At the article it was proved the relevance of equipment remote control. It was shown the data of analytical agencies about using of network equipment in the world. It was listed features of the SSH protocol, its purpose and available versions. It was listed the main components and disclosed their meanings in the SSH’s structure. At the article you can also find the information about reliability of the SSH protocol in terms of cryptoanalysis, the information about encryption principles and key selection. It was considered the server authentication procedure, listed main threats can occur when you shutdown compliance check between the server and used key. It was shown three ways of clients authentication: authentication with public keys, password authentication and host authentication. It was considered main limitations of each way. It was listed the minimal version of Cisco router’s IOS allowing to use the SSH protocol. It was listed necessary for protocol functioning router’s settings and described the purpose of each setting stage. In conclusion it was proved the necessity of network monitoring and analyzed traffic between host and router using Wireshark. It was listed the network scheme, IP-addresses of equipment and traffic capturing results.

The article presents the the results of research on the influence of stratification of the soil resistance of grounding devices on the example of the northern and southern parts of the Perm region. Substantiates the the idea that the inclusion of the stratification of the ground is a very important stage in the design of grounding devices for existing standards earthing resistances, regulated by normative documents. And was revealed the necessity of the use of the equivalent of the upper and lower layers of soil resistance given the climatic seasonality factor in the design of grounding devices. On the basis of the above calculation results shows the effectiveness of the method of calculation earthing on the upper and lower layers of soil to the north and south regions of Perm Krai. The recommendations for calculation of grounding devices on the eastern and western parts of the Perm region based on structure of the terrain and soil structure. Analysis shows that the resistivity of the soil depends on many factors, the main of which are: the structure and composition of the of soil, climatic and weather conditions of the terrain (temperature, humidity), time of year, the presence of salts, alkaline and acidic residues, the depth of the groundwater. It was established that the resistivity in the horizontal direction is almost constant and does not change significantly. The upper layer is subject to intense seasonal changes caused by the temperature fluctuations, as well as the quantity and intensity of falling into the ground water. Presents the calculation of earthing resistance in view of the climatic conditions in the north of the Perm region on the example of the city of Solikamsk, the south - the city of Chernushka. As the results of research, for increase the electrical safety of grounding devices should be guided by the highest possible value of the electrical resistance of soil during the year, which accounts for the winter, when the ground is frozen, and in the summer, when there is a maximum of soil moisture evaporation and drying.