title: ÐÐ½Ð°Ð»Ð¸Ð· Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð¼ÐµÐ»ÐºÐ¾ÑÐµÑÐ¸Ð¹Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑÐ²Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¸ Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Analysis and optimization of small-scale production processes using analytical and simulation modeling
Creators: name: Ð¡ÐµÐ»ÐµÑÐºÐ°Ñ, ÐÐ»Ð¸Ñ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: 2024
Subjects: ÑÐµÑÐ¸ ÑÐ¸ÑÑÐµÐ¼ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ»ÑÐ¶Ð¸Ð²Ð°Ð½Ð¸Ñ
Ð·Ð°Ð¼ÐºÐ½ÑÑÑÐµ ÑÐµÑÐ¸
ÑÐµÑÐ¸ ÐÐ¶ÐµÐºÑÐ¾Ð½Ð°
Ð½ÐµÐ¼Ð°ÑÐºÐ¾Ð²ÑÐºÐ¸Ðµ ÑÐµÑÐ¸
Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
queuing system networks
closed-loop networks
Jackson networks
non-markov networks
simulation modeling

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description: The object of the study is closed networks of queuing systems, considered as a tool for presenting models of small-scale production processes. The purpose of the work is to form a set of analytical algorithms for calculating and optimizing closed networks of queuing systems, their software implementation in the MATLAB environment and checking the correctness of the proposed approaches. Within the framework of the study, algorithms for calculating and optimizing closed homogeneous and heterogeneous networks of queuing systems of different classes (Jackson networks and non-Markov networks) are considered. To calculate closed networks, it is proposed to use the application balance method with some modifications. An algorithm for optimizing closed homogeneous networks and two approaches to optimizing closed heterogeneous networks are also proposed: bringing them to homogeneous ones and using the MATLAB function fmincon. A software implementation in the MATLAB environment has been obtained for the considered calculation and optimization algorithms. As a test of the correctness of the proposed algorithms and the developed software, the results of analytical modeling are compared with simulation modeling in the GPSS environment.