The use of inventory management models enables the management of the company to optimize logistics business processes and to reduce fixed and variable costs of production, order and sales. The study proposes a multinomenclature model for optimizing inventory business processes using asymptotic methods. An easy-to-use analytical formula for determining optimal order interval, when order and inventory holding costs meet insufficient cyclical changes, is obtained. Testing of the developed model of optimization of inventory business processes was carried out on the example of the enterprise operating in the HoReCa segment of Zaporizhzhia the regional market. The proposed multinomenclature inventory management model enables the company management to apply situational management of these processes, modeling the changes caused by increased product storage costs and order fulfillment. Keywords: logistic model, small parameter, asymptotic methods, total logistical costs, multi-nomenclature order.
The aim of this study is to develop the inventory management model based on Economic Order Quantity model using asymptotic perturbation methods. The simple asymptotic formulas for the "perturbed" order quantity has been obtained when cost per order, storage cost and product demand change slightly. As the results show, the total costs, which correspond to "perturbed" order quantities, are less than ones at economic order quantity. Decrease of logistics costs can improve the market competitiveness of the machine-building enterprises' products. Modeling the nature of cost increase and demand fluctuation using asymptotic formulas the machine-building enterprises will be able to make prompt adjustments to optimize logistics processes.
Purpose. The aim of the article is to conduct an internal audit of the development of the educational institution environment (educational and educative) by means of a survey taken by all participants of the educational process and to propose an anti-crisis strategy for the institution development, identifying markers by which the results of this system will be evaluated. Methodology of research. The following methods were used to achieve the goal: the statistical method of data processing, the grouping method to assess the social and economic prerequisites for the implementation of anti-crisis management, the study of the state of the main indicators that form the activity system of educational institutions; economic-mathematical modelling to develop a model for assessing the quality of education and the main factors that significantly affect the quality of education (quality of the process, quality of conditions and quality of results); expert method for the interpretation of expert assessments regarding the analysis of factors and criteria of the education quality assessment model. Findings. The educational and training environment of Zaporizhzhia Gymnasium No. 17 was analysed on the basis of a survey of all participants in the educational process. The designed factor-criterion model for assessing the quality of education is mobile, convenient to use, makes it possible to assess the quality of education in the institution according to its internal factors, to identify critical points and components of the educational process that have been developing, and the use of which will ensure the growth of other criteria. It was established that at the end of the 2021-2022 academic year, the indicator of the education quality in the gymnasium is at the elementary level, but close to the average. It was determined that the conditions of the educational process are implemented at the sufficient level, the quality of the process is at the elementary level, close to critical, and the quality of the results is also at the elementary level. The assessment of the sufficient level gained such three criteria: the professional competence of the teachers, compliance with sanitary and hygienic requirements, and the implementation of modern educational technologies. The implementation of pre-professional training, optional courses, electives and additional education have the lowest indicators, which is the reason for the average indicators of the quality of such results as academic success, admission to professional educational institutions, results of participation in Olympiads, creative competitions. Originality. A factor-criterion model of Zaporizhzhia Gymnasium No. 17 was developed as part of a comprehensive internal audit of the general secondary education institution, which allows to quickly measuring the condition of the object at any moment of its development and formation, to identify critical as well as positive points. Practical value. The designed factor-criterion model for assessing the quality of education is mobile, convenient to use, makes it possible to assess the quality of education in the institution according to its internal factors, to identify critical points and components of the educational process that have been developing, and the use of which will ensure the growth of other criteria. The work includes the main ways to improve the critical levels according to the criteria and demonstrates the first steps of the implementation of an anti-crisis management system. Key words: anti-crisis management, internal audit of an educational institution, factor-criterion model, anti-crisis development strategy.
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