Abstract

Thanks to the rapid development of technologies, in particular information, sensors have become widespread and used in all areas of human activity. Sensors and sensor networks have received special use during the collection and processing of data of various types. When monitoring a certain territory, the problem arises of its maximum coverage in order to increase the information content and completeness of the accumulated data. Simultaneously with the predominance of autonomous use of sensors, the problem of the duration of the sensor operation arises. This value depends on the capacity of the battery. In turn, engineers are faced with the task of minimizing the design of the sensors, which results in a decrease in the volume of the battery simultaneously with all other components. It is also obvious that as the sensor coverage radius increases, the energy consumption increases, which in turn shortens the sensor life. In addition to energy costs, the article considers the costs of servicing and purchasing sensors. Thus, in addition to maximizing the percentage of coverage of the study area, the problem of minimizing the total costs arises. Obviously, to ensure data transfer between sensors, a necessary condition is the presence of the intersection of the sensor coverage areas. In this case, the constant value of this parameter is considered. The materials propose an approach to solving the problem of maximizing the coverage of the territory with minimizing costs for a given level of intersection of the coverage areas of the sensors. The proposed approach is based on solving a nonlinear multiobjective optimization problem. Also, one of the options for solving the described problem is proposed to reduce the objective functions in one by using a weighted convolution of criteria. In addition, the article proposes an iterative approach to solving the described problem. A number of computer experiments have been carried out. The results of the performed computational experiments confirm the possibility of using the proposed information technology both in the form of an optimization problem and in the form of an iterative process.

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