Supplier and retailer coordination under stochastic price-dependent demand and fast moving items

We consider a centralized supply chain system consisting of a one supplier and one retailer. The customers’ demand is a compound Poisson process with price-dependent intensity and continuous batch size distribution. The intensity of the customers’ arrivals is assumed to be sufficiently high to use a diffusion approximation of the demand process. We assume that the supplier has complete information about the rational retailer’s behavior in the framework of the newsvendor problem. The objective is to find a joint pricing and ordering policy so as to maximize the retailer’s expected profit and supplier’s profit. The equations for the optimal prices main parts are obtained and the example of the price-intensity dependence is considered

Solution of Euler-Type Non-Homogeneous Differential Equations with Three Fractional Derivatives

The linear non-homogeneous ordinary differential equations with three left-hand sided Lioville derivatives of fractional order are considered. Using the direct and inverse Mellin transforms and the residue theory, explicit solutions of such equations are established in terms of the generalized hypergeometric Wright functions, of the generalized hypergeometric functions and of the Euler psi function. The corresponding results are deduced for ordinary differential equations of Euler type. Examples are given. Mathematics Subject Classification: 34A05, 26A33, 44A99, 33C20, 33C99. Key Words and Phrases: linear differential equations with Liouville fractional derivatives, ordinary differential equations, explicit solutions, Mellin transforms, generalized Wright function, generalized hypergeometric function, Euler psi function

Systemic analysis and theoretical-game tools of interaction between economic, legal and social national macrosystems

Objective: economic and legal description, formal justification and construction of models of the balanced economic, legal and social macrosystems in order to determine effective strategic decisions under uncertainty.Methods: the theoretical and methodological basis of the study is the synthesis of the provisions and principles of game and management theories, economic and mathematical modeling and the game-theoretical models of decision-making in complex systems developed on their basis, as well as theoretical and methodological approaches of system analysis, economics, sociology, and law.Results: the balance of economic, legal and social systems is determined by the target orientation to the growth of the population’s well-being. The existing mechanisms for achieving this balance do not take into account the interests of all participants of the systems. The paper presents a structural analysis of the interaction and mutual influence of economic, legal and social macrosystems (a complex metasystem); the necessity of transforming the existing approaches to their regulation is shown. The problem of ensuring the systems’ balancing is largely related to the conflict of interests of the parties. Therefore, traditional methods of modeling decision-making processes do not reflect the real socio-economic processes. This problem was solved through game-theory models that contribute to the implementation of the constitutionally established norms which define Russia as a social state. When making strategic decisions in the social sphere, it is proposed to use the concept of the Golden rule of morality as the main economic doctrine, instead of the currently used neoliberal approach, based, among other things, on the concept of Nash equilibrium. The equilibrium models of the complex metasystem by Nash and Berge were formalized, constructed and compared.Scientific novelty: in contrast to the Nash equilibrium (principles of rationality) - the traditional approach used in the construction of equilibrium models, - the paper offers a theoretical justification of the development and construction of equilibrium models and balance sheet equilibrium of economic, legal and social macrosystems by Berge, as well as a formalization of effective strategic decisions and their respective risks.A distinctive feature of the constructed macromodels is the use of the philosophical and moral concept of the Golden rule (the mathematical basis is the balance by Berge) as an economic doctrine for strategic decision-making under uncertainty, and the construction of the so-called guaranteed optimal solutions by Pareto (effective), based, among other things, on the concept of the pair “social guarantee - life risk”. If, in real conditions, one of the macrosystems is economic and is a “generator” of uncertainties, a guaranteed solution is formalized, optimal by Slater (weakly effective).Practical significance: the developed methodology for building the system equilibrium of economic, legal and social macro-systems enables to make decisions socially significant for the population that adequately take into account the peculiarities of the modern socio-economic macro-systems, such as nonstationarity, dysfunctionality, incomplete information, inconsistency, conflict, alternatives, multicriterial character, and risk; and to develop assisting intellectual systems of supporting decision-making based on mathematical models built using the game-theory approach

Conceptual Field of “SIN” in Context of Studying Linguistic Mentality

The article describes the principles of modeling the conceptual field of “SIN” in the context of studying national language according to the mentality of the Russian language. The purpose of the study is description of content and structural features of the language organization of conceptual field as a basic combat unit of language mentality. The research centers on language and text features of syntagmatic, paradigmatic and associative relations between the words sin , repentance and virtue - the representatives of the conceptual field of “SIN” identified through the analysis of the data extracted from dictionaries and also from the National corpus of the Russian language. Theoretical framework of the study is based on the principles of analysis of ways of conceptualizing the world as a source of formation of the phenomenon of “linguistic mentality.” The study uses the methodology of conceptual analysis developed at the Department of Teaching the Russian language in Other Language Environments, Lobachevsky State University of Nizhny Novgorod. The authors prove that the original basic structure of the conceptual field of “SIN” forms a multicomponent conceptual bunch of SIN - REPENTANCE IS -VIRTUE. In this case, the conceptual field of “SIN” is structured differently in relation to religious and non-religious, secular layer of this conceptual content. Practical significance of the research is that the main results can be used in University teaching of disciplines of the cultural linguistics cycle and in the practice of compiling dictionaries of concepts and of linguistic thesauri

Influence of recombinant erythropoietin on mesenchymal stem cells proliferation and differentiation during cultivation on allogenic bone matrix

Effectiveness of mesenchymal stem cells(MSCs) proliferation and differentiation wasstudied after addition of medicinal productcontaining human recombinant erythropoietin (rhEPO)into enriched culture medium with components for osteoandangiogenesis. Cultivation of mesenchymal stem cellsunder static conditions using “cocktail” of growth factorsand rhEPO allowed to populate allogenic discs-scaffoldswith connective tissue formations with the participationof osteoblasts and elongated multicellular structures,which formed after endothelium-like cells fusion. In thepresence of rhEPO MSCs differentiates more effectively inosteogenic direction than in angiogenic

Competitiveness and Competitive Advantages of Enterprises in the Energy Sector

Traditional energy sources form the basis of the energy complex. But the use of renewable energy sources is more acceptable from the ecological point of view and contributes to the saving of oil and gas resources. Therefore, the authors analyzed the competitiveness of the use of alternative energy sources. To study the issue, the study used econometric, theoretical methods. It was found that most of the energy resources in the world and in the Russian Federation is covered by gas and oil, but alternative energy sources are gaining momentum. It is determined that in Russia the greatest percentage is occupied by bio-heat power stations, while in the world the main part is given to wind energy. Keywords: Power Complex, Wind Power, Competition, Renewable Energy, Large Business. JEL Classifications: P18, P28

Применение тренажеров коррекции когнитивных нарушений у детей и подростков после завершения противоопухолевой терапии злокачественных новообразований центральной нервной системы

Introduction. Previous research has documented the development of patients treated for malignant neoplasms (MN). Neurotoxicity of antineoplastic therapy leads to motor and cognitive impairments which affect memory and concentration. The present study attempts to test and evaluate the effectiveness of innovative methods of the correction of cognitive impairments using the Cognisens NeuroTracker training system. Materials and Methods. The study reviews (a) the methods of psychological testing of impairments, (b) the operating principle of training systems, (c) the options of training modes, and (d) clinical characteristics of the examined groups of patients. The pilot study involved 40 patients with the central nervous system (CNS) tumors at the age of 6–18 years. All the patients were treated in the Russkoe Pole (Russian Field) Rehabilitation Research Center of Dmitry Rogachev National Research Center of Pediatric Hematology, Oncology, and Immunology of the Ministry of Health of the Russian Federation in 2016. Results. The study summarized the data obtained in psychological testing, the specificity of cognitive impairments, and the test of cognitive training systems in neurorehabilitation. The results of the complex clinical psychological diagnostics assessing cognitive and motor spheres determined the original status of patients. The present study assessed the validity and effectiveness of Cognisens NeuroTracker neurocognitive training system among patients with MN. The parameters of mental manipulation of visual and spatial images, solving problems of spatial orientation of moving objects, prediction and extrapolation have improved by the end of the training period consisted of 6 sessions. The results of memory and concentration training by the Cognisens NeuroTracker confirmed their effectiveness. These trainings improved the respondents’ effectiveness and success in these types of activity. Conclusion. The Cognisens NeuroTracker new cognitive training system was successfully approved. This new direction is perspective in the rehabilitation of patients treated for MN.  Keywords: malignant neoplasms, neurotoxicity, children, cognitive disorders, psychological status, psychological testing, cognitive training systems, Cognisens NeuroTracker, rehabilitationВведение. Авторы статьи приводят данные литературы о развитии пациентов, получающих лечение по поводу злокачественных новообразований (ЗН). Нейротоксичность противоопухолевой терапии приводит к нарушениям, как в моторной, так и в когнитивной сферах, которые затрагивают в том числе процессы памяти и концентрации внимания. Основной целью исследования является апробация и оценка эффективности инновационных методик коррекции когнитивных нарушений с использованием тренажера Cognisens NeuroTracker. Материалы и методы. Рассматриваются методики психологического тестирования нарушений, принцип действия тренажеров, варианты тренировочных режимов; клинические характеристики обследуемой группы пациентов. В пилотное исследование были включены 40 пациентов с опухолями ЦНС 6–18 лет, которые проходили лечение в реабилитационном научном центре «Русское поле» «Национального научно-клинического центра детской гематологии, онкологии и иммунологии имени Дмитрия Рогачева» Минздрава России в 2016 г. Результаты. Обобщаются полученные данные психологического тестирования, специфика когнитивных нарушений, апробация использования когнитивных тренажеров в нейрореабилитации. Исходный статус пациентов определялся по результатам комплексной клинико-психологической диагностики, которая была направлена на оценку когнитивной и моторной сфер. В описываемом исследовании проводилась оценка валидности и результативности использования нейрокогнитивного тренажера Cognisens NeuroTracker у пациентов с ЗН. По окончанию тренировочного периода из 6 занятий отмечено улучшение параметров мысленного манипулирования зрительно-пространственными образами, решения задач пространственной ориентации подвижных объектов, прогнозирования и экстраполяции. Их эффективность подтверждается результатами тренировок памяти и концентрации внимания с использованием аппарата Cognisens NeuroTracker, которые позволяют улучшить результативность и успешность испытуемых в отмеченных видах активности. Заключение. Полученные данные позволяют авторам сделать вывод об успешной апробации нового высокотехнологичного оборудования когнитивного тренажера Cognisens NeuroTracker и перспективности этого нового направления в реабилитации пациентов, излеченных от ЗН

Small and Medium-Sized Enterprises as a Driver of Innovative Development of the Russian Fuel and Energy Complex

The urgency of the studied problem is caused by the fact that international sanctions led to a number of bans in the oil and gas industry, and there is the necessity to create the role of small and medium-sized innovative enterprises. In this regard, this article is aimed at identifying the positive and negative aspects of these enterprises, as well as their significance in the development of the oil and gas service segment. Keywords: fuel and energy complex, innovative enterprises, international sanctions, import substitution, territorial clusters JEL Classifications: O13, P18, M2

Antiplatelet activity of new derivatives of benzimidazole containing sterically hindered phenolic group in their structure

The chemical class of benzimidazole derivatives with a hindered phenolic substituent in their structure is promising for the search for new antiaggregant and antioxidant drug