Summary. In this article the effective algorithm of optimization of power networks regime on voltages of nodes with controllable reactive power  is offered. The results of research of calculation quality of the offered algorithm are presented.

Key words: power network, power losses, optimization of regime, algorithm of optimization, criterion function, limitations, iterative process, acceleration coefficient.

Abstract: The features ensuring the economic security of the state in the development of the knowledge economy, discovered and described the threat to economic security of the national economy, which are characteristic of the knowledge economy, determined that innovative development can increase the security level of the state economy, it is proved that the development of the knowledge economy allows empower the world economy, raise living standards, ensure the acceleration of scientific and technological progress.

Keywords: state, economy, economic security, knowledge economy, threats, innovative development.

Summary: The article analyzes and summarizes the world experience of investment attractiveness as the example of China's economy. Analyzed measures of improve the investment climate in the country, using the experience of foreign countries in the current Ukrainian realities.

Key words: foreign investment, investment climate, region, economic growth and local government.

Summary. The article addresses methodological approaches to the development of strategic plans for businesses. The author highlights the importance of strategic plans and the existence of different approaches their formation, emphasizes the major trends and common approaches for their development.

Keywords: strategic plan, strategic planning, strategy, implementation of the strategy, enterprise, purpose, mission, analysis, internal environment, external environment, control.

Summary: The study systematized means of mini-tourism for schoolchildren, they are divided into two groups: exercises performed on exercise outdoors and indoors.

Key words: mini-tourism, students, health improvement.

Summary: The article presents the results of studies of the structure of motivation of sports activities of athletes of high qualification with mental and physical development disorders. The dominant motivational tendencies of athletes with visual and the musculoskeletal system impairments, which are based on the need of material prosperity and social recognition, are revealed. It was determined that in a group of highly skilled athletes with visual impairments the motivation to succeed dominates, whereas a motivational tendency of failure avoiding dominated in the group of elite athletes with disorders of the musculoskeletal system.

Key words: motivation of sports activities, athletes with mental and physical development impairments, paralympic sports.

Abstract. The article justified that the European gas market is oligopolistic. Provides an overview of the most popular oligopolistic models. It justifies application of the Stackelberg model for the study of the natural gas market.

Keywords: oligopoly, Stackelberg model, natural gas, natural gas market.

Summary: The problem of choosinga web browserinvestigated. Four groupsof selection criteriaoffered. A combined approachto the choice ofa Web browser, usingmethods of multicriteriaevaluation andanalysis ofthe elementsof the vectoris designed. Flowchart verifies thatthe web browseruser requirementsdescribedin steps.

Keywords: information security, web application, web, multi-criteria evaluation, vector analysis.

Summary. Investigated the use of modern methods of simulation for research and study of the transport infrastructure. The essence and peculiarities of simulation modeling method of transport. Analyzed simulation models offered by foreign and Ukrainian scientists. The attention paid to the need for simulation modeling to improve urban traffic conditions and public transport, to assess its cost-effectiveness. Proved that without the use of simulation modeling techniques can not be scientific justification integration of motor transport infrastructure of cities and regions of Ukraine in the modern world similar structure.

Keywords: Transport infrastructure, transport system, simulation model, simulation, system simulation modeling of traffic, vengeance, region.