Анотація. У статті обґрунтовано актуальність використання аналітично-інформаційних систем в економіці та управлінні. Уточнено необхідні етапи, математичні та статистичні методи, сучасні інформаційні технології для забезпечення функціонування цих систем та сфери, в яких здійснюється виконання аналітичної звітності. Проаналізовано головне призначення сучасних ІТ-технологій з бізнес-аналітики та загальний алгоритм дії систем, які належать до класу Business Intelligence, основні засади роботи систем підтримки прийняття рішень та засобів інтелектуального аналізу даних. Структуровано архітектуру типової інформаційно-аналітичної системи підтримки прийняття рішень на основі OLAP-технологій та інтелектуального аналізу даних (Data Mining). Визначено подальші напрями використання інформаційноаналітичних систем у поєднанні з динамічними імітаційними моделями. Ключові слова: бізнес-аналітика; системи підтримки прийняття рішень; інтелектуальний аналіз даних; сховище даних; системи оперативної аналітичної обробки даних.

The purpose of insurance is to accumulate funds to fulfill obligations to its clients, as well as to invest further in the expansion of insurance activities and the development of the country's economy. The success of insurance companies depends to a large extent on their financial status, that is, financial stability and solvency. The financial condition of an insurance company is characterized by the indicators that describe its ability to develop and successfully operate in a competitive market environment. The stable financial condition of the insurer is a guarantee of development in the conditions of the market economy and an insurance of the stability of the development of the insurance market in the country. The purpose of this research is to assess the financial stability of a non-life insurance company and to analyze the main factors affecting it with the use of computer simulation modelling. The simulation model covers the main processes of the non-life insurance company and is based on the application of financial analysis methods, economic and mathematical methods, and modern simulation technologies. Based on the simulation model, the financial stability of the insurance company is assessed, namely the analysis of the insurance company’s profitability, income, expenses, indicators of profitability; the coefficients of financial stability of the insurance fund and the level of insurance reserves for the analysis of the adequacy of the insurance fund are calculated; the actual and normative solvency margin is calculated for controlling the fulfillment of solvency conditions; the solvency ratio (autonomy) is calculated; the equity ratio is calculated and an analysis of the adequacy of equity is carried out. The developed simulation model can be used to increase the level of planning and analytical reporting, to improve methods of conducting insurance operations, to plan and forecast the activity, and to increase the validity of managerial decisions.

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As is known, the problem of determining economically justified volumes of supplies in the theory and practice of logistics management plays a key role in ensuring the efficient operation of both individual enterprises and supply chains. Logistics, which is the science of effective management of material, information and financial flows in the field of production and circulation, is closely related to such sections of operations research as mathematical programming, inventory management theory, schedule theory, queuing theory and more. Many tasks of logistics are directly related to the optimal management of stocks of raw materials, semi-finished and finished products, as well as the construction of an optimal schedule for delivery of finished products to points of consumption with the participation of trunk transport. Thus, since the issues of optimal inventory management are of paramount importance in logistics, it means the importance of inventory theory in the design and operation of various logistics systems. The article is devoted to substantiation of expediency and efficiency of additional costs of a supply firm for advertisement with the aim to its profit increasing on the fixed planning horizon under supposition that the expected demand at point of destination may be controlled by firm. For this problem solving the modification of classical Wilson’s model from inventory control theory is used to maximize the total profit of firm for sailing the good, taking into account ordering, delivery and storage of good costs on the planning horizon and additional cost for advertisement of good. It is assumed that buying/sailing prices of good are known, as well as daily expenses for storage of good at warehouse. It is supposed also that demand for the good is an increasing function of advertisement costs. The case of linear dependence of demand on advertisement cost is studied in details. For this particular case the optimal value of ordering party of good and optimal value of cost for advertisement are found in evident form. It is shown also that above optimization model may be generalized for the case of several kinds of good. Restrictions on the capacity of the warehouse for storage of goods and restrictions on the financial resources available to the company allocated for advertising activities are taken into account. A convex optimization problem is obtained, which can be solved numerically using the Excel application package.

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