title: ÐÐµÑÐ¾Ð´Ñ Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐµÐ¿ÑÐ¼Ð¸ Ð¿Ð¾ÑÑÐ°Ð²Ð¾Ðº
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Methods and models of supply chain management
Creators: name: ÐÑÐµÐ»Ð¸Ð½, ÐÐ°Ð²Ð¸Ð´
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐµÐ¿ÑÐ¼Ð¸ Ð¿Ð¾ÑÑÐ°Ð²Ð¾Ðº
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Ð·Ð°Ð´Ð°ÑÐ° Ð¾Ð± Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½Ð¾Ð¼ ÑÑÐºÐ·Ð°ÐºÐµ
supply chain management
logistics process optimization
linear programming problem
transportation problem
Vogel approximation
flow network
maximum flow problem
minimum cost flow problem
bounded knapsack problem

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐµÑÐ¾Ð´Ñ Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐµÐ¿ÑÐ¼Ð¸ Ð¿Ð¾ÑÑÐ°Ð²Ð¾ÐºÂ». Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ ÑÐ¾ÑÑÐ¾ÑÐ»Ð° Ð² Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð¸Â ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÐµÐ¼ÑÑ Ð² ÑÑÐµÑÐµ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐµÐ¿ÑÐ¼Ð¸ Ð¿Ð¾ÑÑÐ°Ð²Ð¾Ðº. ÐÐ°Ð´Ð°ÑÐ¸, ÑÐµÑÐµÐ½Ð½ÑÐµ Ð² ÑÐ°Ð±Ð¾ÑÐµ: ÐÐ·ÑÑÐµÐ½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¿Ð¾Ð½ÑÑÐ¸Ñ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐµÐ¿ÑÐ¼Ð¸ Ð¿Ð¾ÑÑÐ°Ð²Ð¾Ðº. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼ÑÑ Ð² ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸ ÑÐµÐ¿ÑÐ¼Ð¸ Ð¿Ð¾ÑÑÐ°Ð²Ð¾Ðº. ÐÐ»Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð² ÑÐ°Ð±Ð¾ÑÐµ Ð²ÑÐ±ÑÐ°Ð½Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸, Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¼ Ð¿Ð¾ÑÐ¾ÐºÐµ Ð¸ Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐµ Ð¼Ð¸Ð½Ð¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÑÐ¾Ð¸Ð¼Ð¾ÑÑÐ¸, Ð°Â ÑÐ°ÐºÐ¶Ðµ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾Ð± Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½Ð¾Ð¼ ÑÑÐºÐ·Ð°ÐºÐµ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ Ð¿ÑÐ¸Ð¼ÐµÑÑ Ð´Ð»Ñ Ð¸Ð»Ð»ÑÑÑÑÐ°ÑÐ¸Ð¸ Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ. Ð ÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¹ ÐºÐ¾Ð´ Ð½Ð° ÑÐ·ÑÐºÐµ Python Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¸ Ð¿Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð²Â ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸ ÑÐµÐ¿ÑÐ¼Ð¸ Ð¿Ð¾ÑÑÐ°Ð²Ð¾Ðº. ÐÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ Ð·Ð½Ð°ÑÐ¸Ð¼Ð¾ÑÑÑ ÑÐ°Ð±Ð¾ÑÑ Ð·Ð°ÐºÐ»ÑÑÐ°ÐµÑÑÑ Ð² ÑÐ¾Ð¼, ÑÑÐ¾ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¼Ð¾Ð³ÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑÑÑ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸ÑÐ¼Ð¸ Ð´Ð»Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð»Ð¾Ð³Ð¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð².
description: The theme of the final qualification work: âMethods and models of supply chain managementâ. The purpose of the work was to study the possibilities and implementation of mathematical methods and models, experiments in the field of control of probability chains.Tasks solved in the work: 1. The basic concepts in the field of supply chain management have been studied. 2. Comparative analysis of the possibilities of mathematical methods and models, verification in the control of probability chains. 3. Model of the transportation problem, models of the maximum flow problem and minimum cost flow problem, model of the bounded knapsack problem are chosen for implementation in the work. 4. Examples have been developed to illustrate the selected tasks. Implemented a program code in the Python language for solving problems. 5. A computational experiment has been completed. Recommendations for the application of the studied models in supply chain management have been developed. The practical significance of the work lies in the fact that the implemented models can be used by enterprises to optimize logistics processes.