We propose a model for the formation of international logistics chains based on an integrated multicriterial analysis of potential cargo transportation routes and delivery cost. The application of the systemic approach when planning a delivery helps to ensure rational allocation and efficient servicing of traffic flows among the objects along the transportation-logistic network. At the first stage of modeling, the analysis of information about the objects of the transport and logistic system is carried out. We determine the region of efficient use of different modes of transport and construct a set of alternative chains of good delivery. Based on the analysis of the impact factors, the criteria are determined and the constraints are accepted to a given problem for a series of techno-economic, logistical, technological, environmental and other indicators. At the second stage, the multicriterial problem of synthesis (engineering) of the transport and logistics system of delivery is solved. We built an algorithm for the substantiation of effective international multi-modal transport and technological schemes of cargo delivery. The proposed algorithm provides a comprehensive assessment of the cost depending on delivery conditions in accordance with the Incoterms rules and the customs regime. To substantiate the route, the region of effective solutions for a DM is determined, based on solving a problem on the vector optimization for multiple criteria. Formation of effective schemes of cargo delivery from France to Ukraine along the route from Haut-Mauco to the warehouse "Agro-Soyuz-Terminal" in the city of Dnipro was explored. Based on modeling applying the package of symbolic computations in the programming environment Maple-7, we obtained a full set of compromise solutions to the vector optimization problem for the criteria of cost, delivery time, and ecological impact. We present a comprehensive assessment of the cost of goods delivery in containers using mixed transportation under the Incoterms EXW, CPT delivery conditions (delivery to Dnipro), FOB and CIF, and the customs regime of import and import (warehouse). The proposed model could be applied by transportation, logistic, customs brokering companies when substantiating alternative routes of goods delivery based on a multicriterial analysis of information.

Босов, А. А. Теоретические основы рационального содержания подвижного состава железных дорог : монография / А. А. Босов, П. А. Лоза. — Д. : ООО предприятие «Дриант», 2015. — 252 с. — ISBN 978-966-2394-15-3. Приводится фрагмент текста

Purpose. The development of complicated techniques of production and management processes, information systems, computer science, applied objects of systems theory and others requires improvement of mathematical methods, new approaches for researches of application systems. And the variety and diversity of subject systems makes necessary the development of a model that generalizes the classical sets and their development – sets of sets. Multiple objects unlike sets are constructed by multiple structures and represented by the structure and content. The aim of the work is the analysis of multiple structures, generating multiple objects, the further development of operations on these objects in application systems. Methodology. To achieve the objectives of the researches, the structure of multiple objects represents as constructive trio, consisting of media, signatures and axiomatic. Multiple object is determined by the structure and content, as well as represented by hybrid superposition, composed of sets, multi-sets, ordered sets (lists) and heterogeneous sets (sequences, corteges). Findings. In this paper we study the properties and characteristics of the components of hybrid multiple objects of complex systems, proposed assessments of their complexity, shown the rules of internal and external operations on objects of implementation. We introduce the relation of arbitrary order over multiple objects, we define the description of functions and display on objects of multiple structures. Originality.In this paper we consider the development of multiple structures, generating multiple objects.Practical value. The transition from the abstract to the subject of multiple structures requires the transformation of the system and multiple objects. Transformation involves three successive stages: specification (binding to the domain), interpretation (multiple sites) and particularization (goals). The proposed describe systems approach based on hybrid sets can be used in many application systems for structural and content analysis. An example of the use the hybrid sets for logistics systems modeling is shown.

Purpose. It is necessary to develop the theoretical fundamentals for solving the investment objectives presented in the form of set function as vector optimization tasks or tasks of constrained extremum. Methodology. Set functions and their derivatives of measure are used as research of investment objectives. Necessary condition of set function minimum is proved. In the tasks for constrained extremum the method of Lagrange is used. It is shown that this method can also be used for the set function. It is used the measure for proof, which generalizes the Lebesgue measure, and the concept of set sequence limit is introduced. It is noted that the introduced limit over a measure coincides with the classical Borel limit and can be used in order to prove the existence of derivative from set function over a measure on convergent of sets sequence. Findings. An algorithm of solving the investment objective for constrained extremum in relation to investment objectives was offered. Originality. Scientific novelty lies in the fact that in multivariate objects for constrained extremum one can refuse from immediate enumeration. One can use the proposed algorithm of constructing (selection) of options that allow building a convex linear envelope of Pareto solutions. This envelope will let the person who makes a decision (DM), select those options that are better from a position of DM, and consider some of the criteria, the formalization of which are difficult or can not be described in mathematical terms. Practical value. Results of the study provide the necessary theoretical substantiation of decision-making in investment objectives, when there is a significant number of an investment objects and immediate enumeration of options is very difficult on time costs even for modern computing techniques.

Purpose. One should clarify the issues concerning the w ear reduction of details of freight car side bearers, costs reduction for the worn details reconstruction, improvement the dynamic characteristics of railway vehicles and the increase of their movement safety. Methodology . Wear-resistant elements of the side bearers are made in the form of removable metal-ceramic plates, entrenched on friction planes. Findings. During operation due to pollution, wear of friction surfaces and other causes the power characteristics of side bearer may significantly vary, which adversely affects the dynamic qualities of bogies, and as a result the train traffic safety. Therefore, the solution proposed by the authors concerning the operation improvement of elastic frictional side bearers by means of their modernization is an urgent one. Originality . The design of the bogie side bearer of freight car was improved. Friction wedge was set on the spring; its inclined surface interacts with a support inclined platform of a plate through the plate with the durable elements in the form of metal-ceramic inserts. Practical value . The use of wear-resistant elements in the form of interchangeable metal-ceramic inserts will reduce the wear of connection joints of bogie and a freight car frame, improve its dynamic qualities. It will also decrease the costs for restoration of worn side bearers by friction.

Purpose. It is necessary to develop the theoretical fundamentals for solving the investment objectives presented in the form of set function as vector optimization tasks or tasks of constrained extremum. Methodology. Set functions and their derivatives of measure are used as research of investment objectives. Necessary condition of set function minimum is proved. In the tasks for constrained extremum the method of Lagrange is used. It is shown that this method can also be used for the set function. It is used the measure for proof, which generalizes the Lebesgue measure, and the concept of set sequence limit is introduced. It is noted that the introduced limit over a measure coincides with the classical Borel limit and can be used in order to prove the existence of derivative from set function over a measure on convergent of sets sequence. Findings. An algorithm of solving the investment objective for constrained extremum in relation to investment objectives was offered. Originality. Scientific novelty lies in the fact that in multivariate objects for constrained extremum one can refuse from immediate enumeration. One can use the proposed algorithm of constructing (selection) of options that allow building a convex linear envelope of Pareto solutions. This envelope will let the person who makes a decision (DM), select those options that are "better" from a position of DM, and consider some of the criteria, the formalization of which are difficult or can not be described in mathematical terms. Practical value. Results of the study provide the necessary theoretical substantiation of decision-making in investment objectives, when there is a significant number of an investment objects and immediate enumeration of options is very difficult on time costs even for modern computing techniques.

Purpose. One should clarify the issues concerning the wear reduction of details of freight car side bearers, costs reduction for the worn details reconstruction, improvement the dynamic characteristics of railway vehicles and the increase of their movement safety. Methodology. Wear-resistant elements of the side bearers are made in the form of removable metal-ceramic plates, entrenched on friction planes. Findings. During operation due to pollution, wear of friction surfaces and other causes the power characteristics of side bearer may significantly vary, which adversely affects the dynamic qualities of bogies, and as a result the train traffic safety. Therefore, the solution proposed by the authors concerning the operation improvement of elastic frictional side bearers by means of their modernization is an urgent one. Originality. The design of the bogie side bearer of freight car was improved. Friction wedge was set on the spring; its inclined surface interacts with a support inclined platform of a plate through the plate with the durable elements in the form of metal-ceramic inserts. Practical value. The use of wear-resistant elements in the form of interchangeable metaleramic inserts will reduce the wear of connection joints of bogie and a freight car frame, improve its dynamic qualities. It will also decrease the costs for restoration of worn side bearers by friction.

He technique which allows to receive at level of engineering calculations preliminary results of economic efficiency from elimination of restrictions for speed movement of trains is resulted.

The structure of system complexity is introduced; and the linked complexity of systems is determined according to it.

Introduction: Formed knapsack problem in terms of set functions and is a heuristic algorithm. The goal: to prove that the heuristic algorithm is essential. Some facts from [2]. The equivalence of the limit order to E.Borelyu and convergence in measure. The theorem about the need to set a maximum of function. The situation is quite the algorithm: We present three cases where a heuristic algorithm is sufficient. Counterexample: An Rear take from [1], and given the addition heuristic algorithm, which allows to obtain the solution of the knapsack problem. Vector optimization: With the knapsack problem is tied vector optimization of investment activities. Conclusions: The proposed algorithm for solving the knapsack problem and for additive functions algorithm for Pareto solutions of vector optimization for the two indicators. Appendix: an agenda for the Maple solutions knapsack problem.

Introduction: Formed knapsack problem in terms of set functions and is a heuristic algorithm. The goal: to prove that the heuristic algorithm is essential. Some facts from [2]. The equivalence of the limit order to E.Borelyu and convergence in measure. The theorem about the need to set a maximum of function. The situation is quite the algorithm: We present three cases where a heuristic algorithm is sufficient. Counterexample: An Rear take from [1], and given the addition heuristic algorithm, which allows to obtain the solution of the knapsack problem. Vector optimization: With the knapsack problem is tied vector optimization of investment activities. Conclusions: The proposed algorithm for solving the knapsack problem and for additive functions algorithm for Pareto solutions of vector optimization for the two indicators. Appendix: an agenda for the Maple solutions knapsack problem.

The technique which allows to receive at level of engineering calculations preliminary results of economic efficiency from elimination of restrictions for speed movement of trains is resulted.

The mathematical formulation of solution algorithm for a vector optimization problem on two indices with regard to scientific substantiation of a flexible line of car repair is presented in the paper.

An algorithm for constructing the mathematical models based on a passive experiment is proposed.