title: Ð Ð°ÑÑÐµÑ Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÐµÐ¹ Ð±Ð¸Ð·Ð½ÐµÑ-Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐµÐ¾ÑÐ¸Ð¸ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ»ÑÐ¶Ð¸Ð²Ð°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: Calculation and optimization of business process characteristics using queueing theory
Creators: name: ÐÐ°Ð»ÑÐ¶Ð¸ÐµÐ²Ð°, ÐÐ¸ÐºÑÐ¾ÑÐ¸Ñ
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ÐµÐ¾ÑÐ¸Ñ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ»ÑÐ¶Ð¸Ð²Ð°Ð½Ð¸Ñ
ÑÐµÑÐ¸ Ñ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ð¾Ð¹ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¾Ð¹ Ð·Ð°ÑÐ²Ð¾Ðº
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Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
queueing theory
networks with parallel processing
two-moment calculation method
simulation modeling

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð°Ð½Ð°Ð»Ð¸Ð·Ñ Ð¸ ÑÐ°ÑÑÐµÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐµÑÐµÐ¹ ÑÐ¸ÑÑÐµÐ¼ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ»ÑÐ¶Ð¸Ð²Ð°Ð½Ð¸Ñ Ñ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ð¾Ð¹ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¾Ð¹ Ð·Ð°ÑÐ²Ð¾Ðº. Ð ÑÐ°Ð¼ÐºÐ°Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¼ÐµÑÐ¾Ð´ ÑÐ°ÑÑÐµÑÐ° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐµÑÐµÐ¹ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ»ÑÐ¶Ð¸Ð²Ð°Ð½Ð¸Ñ, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð¾ÑÐ½Ð¾Ð²Ð°Ð½ Ð½Ð° Ð¾Ð±ÑÐµÐ´Ð¸Ð½ÐµÐ½Ð¸Ð¸ ÑÑÐ°ÑÑÐºÐ¾Ð² Ñ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½ÑÐ¼Ð¸ Ð²ÐµÑÐ²ÑÐ¼Ð¸ Ð² ÑÐ¸ÐºÑÐ¸Ð²Ð½ÑÐ¹ ÑÐ·ÐµÐ». ÐÐ¾ÑÐ»Ðµ ÑÑÐ¾Ð³Ð¾ Ð²ÑÐ´ÐµÐ»ÑÐµÑÑÑ Ð¾Ð´Ð½Ð° Ð²ÐµÑÐ²Ñ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°ÑÑÐºÐ° Ð¿ÑÐ¾ÑÐµÑÑÐ° Ñ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ Ð²ÑÐµÐ¼ÐµÐ½ÐµÐ¼ Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð·Ð°ÑÐ²ÐºÐ¸ Ð² Ð½ÐµÐ¹. Ð¢Ð°ÐºÐ¾Ð¹ Ð¿Ð¾Ð´ÑÐ¾Ð´ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ ÑÐ¿ÑÐ¾ÑÑÐ¸ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ, ÑÐ¾ÑÑÐµÐ´Ð¾ÑÐ¾ÑÐ¸Ð²ÑÐ¸ÑÑ Ð½Ð° Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°Ñ ÑÐ¸ÑÑÐµÐ¼Ñ, ÑÑÐ¾ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð¾Ð±Ð»ÐµÐ³ÑÐ°ÐµÑ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐ¸Ð¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ. ÐÐµÑÐ¾Ð´ ÑÐ°ÑÑÐµÑÐ° Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐµÑÐ¸ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ»ÑÐ¶Ð¸Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð½Ð° ÑÐ·ÑÐºÐµ MATLAB. Ð¢Ð°Ðº Ð¶Ðµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° ÐºÐ¾ÑÑÐµÐºÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÐµÐ´Ð»Ð°Ð³Ð°ÐµÐ¼Ð¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ°ÑÑÐµÑÐ° Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¼ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð² ÑÑÐµÐ´Ðµ GPSS World. ÐÐ°Ð½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ñ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸ Ð¾ÑÐµÐ½Ð¸Ð²Ð°ÑÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð±Ð¸Ð·Ð½ÐµÑ-Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ñ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½ÑÐ¼ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸ÐµÐ¼ Ð·Ð°Ð´Ð°Ñ Ð¸ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑ ÑÐ°ÑÑÐµÑÑ Ð¿Ð¾ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð². Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ Ð¸ ÐµÐ³Ð¾ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¿Ð¾Ð»ÐµÐ·Ð½Ñ Ð´Ð»Ñ ÑÐ¸ÑÐ¾ÐºÐ¾Ð³Ð¾ ÐºÑÑÐ³Ð° ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸ÑÑÐ¾Ð², Ð·Ð°Ð½Ð¸Ð¼Ð°ÑÑÐ¸ÑÑÑ Ð°Ð½Ð°Ð»Ð¸Ð·Ð¾Ð¼ Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸ÐµÐ¹ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÑÐµÑÐ°Ñ Ð´ÐµÑÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸.
description: This thesis focuses on the analysis and calculation of the characteristics of queueing systems with parallel request processing. The proposed research method involves calculating the characteristics of queueing networks by combining sections with parallel branches into a single virtual node. After this, the branch with the maximum sojourn time in the parallel section of the process is identified. This approach simplifies the model by focusing on the most critical elements of the system, significantly easing subsequent analysis and optimization. The method for calculating the parameters of the queueing network was implemented using MATLAB. Additionally, the correctness of the proposed calculation method was evaluated through simulation modeling in the GPSS World environment. This method provides a means to analytically assess the efficiency of business processes with parallel task execution and to perform calculations for optimizing their parameters. The developed method and its practical implementation can be useful for a wide range of specialists involved in the analysis and optimization of processes in various fields.