Разработка математической модели оптимизации и применение методов динамического программирования в задаче управления учебной группой процесса обучения курсантов силовых структур в высших учебных заведениях

The article analyzes the peculiarities of professional training of law enforcement officers. The relevance of the specific functions of the state in the professional training of domestic law enforcement officers is revealed, which is due to the specifics of the activities of officials and other officials of law enforcement agencies, called to ensure the interests of citizens, society and the state. Doctrinal opinions on the professional training of law enforcement officers were analyzed, as well as a number of legislative and sub-legislative legal acts were studied, including the Laws of Ukraine: «On Civil Service», «On the National Police», «On Social and Legal Protection of Servicemen and Their Family Members» , orders of the Ministry of Internal Affairs of Ukraine on the organization of initial professional training of police officers, who are first accepted for police service, on higher educational institutions of the Ministry of Internal Affairs, regulating the legal relationship of professional training of law enforcement officers. It is emphasized that an important role in the law enforcement activity of a law enforcement officer is played by his professional competence, personal positive human qualities that influence his formation as a personality. The opinion expressed is that the professional activity of a law enforcement officer is inseparable from his professional competence. A theoretical definition of the concept of «professional competence» is given as a set of acquired and necessary professional knowledge, abilities and practical skills that, depending on the field of professional activity, a law enforcement officer can perform within the limits of the powers determined by the position in accordance with the law and other regulatory legal acts. It is justified that every law enforcement officer should be a highly cultured person, have a high level of legal culture, tolerance, and humanity.It was concluded that the law enforcement function belongs to one of the most important functions of the social legal state and covers the entire complex of internal and external functions of the state enshrined in the Constitution and laws of Ukraine, each of which affects the activity of the state-authorized law enforcement body in accordance with the purpose and tasks of its activity. A necessary condition for the implementation of tasks and the implementation of internal and external functions of the state requires proper provision of law enforcement bodies with material resources, financial and monetary support, a guarantee of social protection, and determination of the powers of the law enforcement body. The implementation of the law enforcement function is inextricably linked with the activities of the law enforcement body, its officials and officials. This function is objectified and developed as an integrated indicator of professional competence, possession of organizational, special and legal knowledge and entrusts the state with the important function of providing professional training and special training of the future highly qualified specialist – a law enforcement officer who has mastered the relevant theoretical knowledge and practical skills, who psychologically ready to act in extreme conditions, be able to and know how to use acquired knowledge in order to ensure the protection of human and citizen rights and freedoms, legal order and state security.

The problem of psychological training of employees of law enforcement agencies remains relevant at the present time. The problem of professional training for extreme situations is of particular importance, as the choice of a methodological approach to the implementation of professional and psychological training of law enforcement officers. The most effective is the system-situational approach in combination with the model approach, which are based on the system approach. The authors consider the role of situational, system-situational, model approaches to the psychological training of law enforcement officers in extreme situations of professional activity. In the course of the theoretical analysis and empirical research, the conclusion is formulated about the significance and effectiveness of the system-situational approach, the use of which contributes to the formation of effective psychodiagnostic procedures. In the course of the study, the features of the psychological and managerial potential of employees of law enforcement agencies were identified. In modern conditions, a systematic approach is developing most intensively, which carries out a gradual study of the subject: from the general to the particular, taking into account the significance of the goal, its achievability. The article considers the system-situational approach as one of the most promising, especially in the aspect of empirical research of crisis and anti-crisis situations of operational and service activities. Within the framework of system-situational analysis, professionally significant activity is studied as a dynamic system.

The article examines in detail the importance of standards in the professional training of police officers, in particular, in relation to the use of special means, such as a rubber baton. The author analyzes the current regulatory framework of the Ministry of Internal Affairs of Ukraine regulating the procedure for service training and identifies its shortcomings in forming the full range of necessary knowledge and skills for the effective use of special means. The absence of clear standards can lead to a heterogeneous level of training of law enforcement officers and increase the risk of misuse of force. The authors propose to introduce specialized standards that clearly regulate the methodology for performing exercises with a rubber baton, which will help unify police officers' skills and increase the effectiveness of their actions in stressful situations. To assess the effectiveness of the proposed standards, an experimental study was planned and conducted. The pilot study included four exercises performed by cadets with different levels of training. During the exercises, the indicators of time, accuracy and correctness of the strokes were recorded. Based on the results obtained, evaluation criteria were developed that take into account the speed of reaction, the number and correctness of the strikes, as well as the overall technical training of the performers. The experimental study included the performance of four exercises by cadets with different levels of training. During the exercises, indicators of time, accuracy and correctness of strikes were recorded. Based on the results obtained, evaluation criteria were developed that take into account the speed of reaction, the number and correctness of the strikes, as well as the overall technical preparedness of the performers. The results of the study show that standardization of rubber baton techniques improves police training, reduces the risk of misuse of force, ensures respect for human rights, and reduces injuries among both law enforcement officers and citizens. The introduction of clear standards will increase the effectiveness of police officers' actions in real-life operational situations, improve their training system, and create a unified methodological framework for personnel training. Thus, the introduction of specialized standards for the use of rubber batons is an important step in improving the professional training of law enforcement officers, which will ensure an increase in public safety, the effectiveness of law enforcement and compliance with modern requirements for the activities of police units.

Modern times put forward fundamentally new requirements for the qualification of a modern law enforcement officer, his moral maturity, common cultural and intellectual levels. A law enforcement officer must be an educated, highly cultured person, have profound professional knowledge and skills in various fields, and be able to constantly improve his level of knowledge and skills i. e. to possess a high level of educational competence formedness in order to successfully perform his official and civic duties. The purpose of the research is to investigate the current level of the cadets’ self-educational competence formedness in the process of their training in a higher educational institution with specific training environment. The research involved 167 fourth (graduate) year cadets of the National Academy of Internal Affairs (Kyiv). Research methods: theoretical analysis and generalization of scientific and methodological literature, documents and results of educational activities, observations, questionnaires, method of expert assessment, methods of mathematical statistics. The level of the cadets’ self-educational competence formedness was assessed according to four components such as motivational-personal, cognitive-informational, operational-activity and reflexive-volitional. It was found that the cadets’ self-educational competence is an integral part of professional competence and at the same time an indicator of the success of their professional and personal development. It was found that the level of most of the studied indicators of the cadets according to the distinguished components is low. This indicates the need to substantiate and implement pedagogical conditions for the formation of self-educational competence of the cadets i. e. future law enforcement officers in the process of their training in higher educational institutions with specific training environment, as an important prerequisite for effective performance of their professional tasks.

The relevance of the study is conditioned by the lack of development of the problem of forming the decision- making ability at the stage of professional training and the need to improve the modern daily practice of future law enforcement officers to ensure the accuracy and timeliness of decisions made against the background of a constant increase in the volume and complexity of incoming information. The purpose of the study was to determine the conceptual basis for the influence of subjective rationality and risk readiness in the decision- making system in the professional activities of police officers. The paper uses the method of comparative and correlation analysis, and statistical analysis of primary data. According to the results of the study, significant correlations were established between rationality and risk factors in decision-making among police officers in groups with different levels of experience and professionalism. The current study focuses on intra-group variations in risk maximisation and the use of rational traits, particularly vigilance, procrastination, avoidance, and over-vigilance in decision-making. These psychological phenomena are explained by studying the main group of law enforcement officers (n=116), divided by the sample according to the criterion of experience in practice (n=59, n=57). A significant difference and psychological difference in the decision-making process component was found between groups with and without practical work experience in law enforcement. This provides an opportunity for further expansion and development in this area, defining the main approach to creating professional skills, forming the ability to make decisions in law enforcement officers without practical experience, and consolidating the basic skills of law enforcement officers with practical experience. The practical significance of the study lies in the prospect of developing psychocorrective programmes and trainings aimed at various employees of law enforcement agencies, depending on the practical experience gained and the area of activity. The research materials can be used in the process of optimising the educational process in professional institutions

This article looked through public transport operation scale decision-making process in planning with Nash Equilibrium from Game Theory in order to optimize the use of public transport resources. With defined interest, cost and response functions for public transport services, it built a model to describe the competition between public transport service sectors like bus companies and managed to reach Nash Equilibrium. Result of an example proves that if bus companies make separate decisions, they will put too many vehicles into operation. As a consequence, roads under overuse, cost increase, and passengers scatter. Public transport system failed to reach the optimization. That's why systematical macro-coordination on public transport planning is necessary and significant.

Third party logistics service is the third profit sources for supply chain. According to supply chain enterprises and TPL's characteristics, we constructed a TPL—SC pricing model led by TPL, and gave some conditions for supply chain to carry out the third party logistics, studied pricing mechanism of TPL—SC through game theory in order to facilitate the effective cooperation among TPL—SC members, this paper further establishes thee types of coordination mechanisms, which increases their profits than non-cooperation. Finally, this paper proved the feasibility of pricing and coordination mechanisms through numerical examples

Building a network embedded FEC protocol by using game theory

This research evaluates the effectiveness of socialization and law enforcement regarding underage electric bicycle riders, and provides recommendations for improvement. The study results show that current outreach programs are not yet effective in reaching the main audience, namely children and teenagers. This is caused by budget limitations, lack of support from stakeholders, and limited communication media. A lack of understanding among parents and young drivers as well as a lack of information at the school and community level exacerbates this problem. Law enforcement also remains weak and inconsistent, largely due to a lack of strict supervision and regulation, as well as a lack of understanding among law enforcement officials. In terms of regulations, Law no. 22 of 2009 does not yet specifically cover electric bicycles, which require updating to reflect the latest technology. The evaluation shows a mismatch between existing regulations and practice in the field. To improve this situation, it is recommended to increase outreach through educational programs in schools, partnerships with the media, drafting special regulations for electric bicycles, revising the Traffic Law, and increasing law enforcement with special training for law enforcement officers. It is hoped that these steps will create a safer and more orderly environment for electric bicycle users, as well as reduce the risk of accidents

The article is devoted to a detailed analysis of the administrative activities of the police in emergency situations, the specifics of the police's work in crisis situations are investigated, its regulatory and legal regulation, organizational measures and operational functions are analyzed, with an emphasis on evaluating the training of law enforcement officers for effective response in crisis situations. The work examines the main aspects of the organization and coordination of police actions during emergency situations, and also identifies problems that arise in the process of responding to them, including duplication of functions or gaps in the performance of duties. Special attention is paid to the importance of proper preparation of police officers for such situations, which includes regular training, increasing the level of interagency cooperation, implementation of modern technologies for monitoring and responding to emergency situations, as well as development of communication skills, mobility and adaptability. The article emphasizes the importance of improving the legal framework, providing resources and developing training programs that include practical training and training in the use of special equipment. In addition, factors that directly affect the effectiveness of the police, such as the organization of internal interaction and timely response to external challenges, are analyzed. The importance of a comprehensive approach to the training of law enforcement officers is highlighted, which will ensure not only effective response to emergency situations, but also contribute to ensuring public safety and stability in crisis conditions. The article also suggests directions for improving the existing mechanisms of police work in emergency situations, which will increase its efficiency and trust on the part of citizens.

The object of the study is tactical and special training as a basic element of professional training of employees of internal affairs bodies. The subject of the study is horror quests as a promising direction of psychophysical training. The purpose of the work is to study horror quests as a promising direction for the introduction and adaptation of tactical, special and psychophysical training of law enforcement officers. The set goal determines the objectives of the study, namely: 1. To reveal the role of psychophysical training in the system of tactical and special training of law enforcement officers, as well as its impact on overall professional fitness; 2. To consider the history, content and essence of horror quests as one of the most popular types of modern leisure; 3. To evaluate the possibility of adapting the concept of horror quests into the process of tactical, special and psychophysical training of police officers, as well as to consider ways of practical implementation of such adaptation.The scientific novelty lies in the justification of the application of the horror quest methodology in the psychophysical training of police officers.

The detailed analysis results of educational, psychological and sociological studies revealed the professional work peculiarities of social and economic sphere representatives, social workers, in particular, and the scientific principles of social work developed into a regular profession. The scientific essence of social work content, professional activity, and a social worker has been defined. The current level of social work and practical activity as a branch of science has been identified. Social work background as a professional activity, as well as its scientific genesis in Ukraine, has been described. The main contemporary approaches to social work have been analysed. The social welfare system in social workers’ practical activity has been specified. Theoretical and practical components for preservice social and economic specialists’ training, social workers, in particular, at higher education institutions, have been disclosed. Influence factors for professional activity readiness formation at higher education institutions through the education environment have been investigated. Technology components for theoretical training and relationships peculiarities with students' environment have been found.

We introduce the concept of resource brokers, which enables efficient and fair management of the available network resources for multimedia users in large networks while reducing the complexity of a central resource allocation authority. To manage the available resources, the resource brokers deploy axiomatic bargaining solutions from economic game theory in order to explicitly consider the utility impact for different resource allocation schemes. We focus on the Kalai-Smorodinsky bargaining solution because it can successfully model relevant autonomous utility-aware fairness policies for multimedia users. Based on the interpretations of the bargaining solutions, we can model the proposed resource allocation scheme as a utility-driven congestion game, thereby ensuring that the presented resource management game will reach a steady-state after a finite (small) number of changes across resource brokers (i.e., at least one Nash equilibrium exists).

Optimization of TOU Pricing for the Utility with the Consumers in the Manufacturing Sector

The recently deployed 4G access technology promises to satisfy the increasing demand of bandwidth consuming applications by providing high network capacity, low latency and seamless mobility. Towards this direction, concept solutions concerning the integration of wireless and optical networks have been proposed. However, the majority of these approaches assume the conventional fixed commitment of resources to the base stations, an inefficient and costly process, especially in case the Passive Optical Network (PON) belongs to a different operator. As a result, new, more dynamic backhaul resource allocation approaches are required. In this paper, the authors study the problem of committing resources of the backhaul network to a base station by employing evolutionary game theory in order to model the interactions between the subscribers and the base station. The asymptotic stability of the proposed scheme is proven under the replicator dynamics model. Finally, the impact of time delay in the proposed scheme is also investigated.