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0011. Calculation of parameters of a M/M/1 queueing system
Interactive calculation of the parameters of a M/M/1 queueing system (QS), based on the intensity of the flow of applications and the processing of applications.
This digital product is an interactive spreadsheet designed for IT students and other professionals studying the theory of mass service systems.
Unlike office documents, this solution works like a spreadsheet or a professional engineering calculator with formulas that are edited on the spot: you change the parameters and immediately see the reaction of all calculation elements.
The calculator allows you to estimate a number of parameters of the M/M/1 type QMS — the probability of downtime, load, request time in the queue, request execution time, etc.
Automated Calculations
The product automates routine checks and minimizes errors when calculating QS parameters.
Features & Document Logic
The document is structured as an interactive worksheet with transparent logic:
- Input Data: You enter the intensity of the application flow and application processing, as well as, if necessary, the number of applications in the system (to calculate the probability of the presence of a given number of applications in the system).
- Algorithm: The system automatically calculates parameters.
- Visualization: Visualization: All formulas are open. You can see the progress of calculations depending on the parameters.
Important: You can adapt the document to your specific needs — edit formulas, add diagrams, or change units of measurement. TechEditor handles unit conversion and dimensional consistency automatically, ensuring expressions are calculated correctly regardless of the units used.
Technical Specifications & Standards
- File Format: .tec (TechEditor Project).
- Document Language: English (Technical).
- Output: On-screen view, report printing, PDF export.
How to Use This Solution
- Download and install TechEditor on your computer. (You must be registered on the Dystlab Store).
- Download this digital solution (.tec file).
- Open the file on your computer.
- Update the input data. Ensure all calculations in the document update automatically (if auto-calculation is disabled, press
Download
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System requirements for TechEditor environment
Operating system:
- Windows (recommended 11 or higher);
- macOS (12.0 or higher) — through the Parallels Desktop emulator;
Monitor, memory, processor:
- screen resolution: recommended 1920x1080 pixels and higher; minimum 1366x768 pixels;
- RAM: 8 GB and above is recommended; minimum 1 GB;
- Hard drive (HDD/SSD): 500 MB and above recommended; minimum 100 MB;
- processor frequency (CPU): 3.0 GHz and higher is recommended; minimum 1.0 GHz.
Browser and Internet access:
Internet access is required and is used for user web authorization, web content downloads, communication with LLM, and other functions.
Dystlab Open Collaborative License
These digital solutions are provided “as is”, without any warranties of any kind, express or implied, including but not limited to warranties of accuracy, completeness, fitness for a particular purpose, or compliance with any standards or regulations. The developers, authors, and participating organizations shall not be liable for any direct, indirect, incidental, consequential, or other damages arising from the use or inability to use these solutions.
Permission is hereby granted to use, copy, reproduce, distribute, modify, adapt, and create derivative works of these digital solutions without restriction.
It is prohibited to sell, license, rent, lease, or otherwise commercially distribute these digital solutions as a standalone product, whether in their original or modified form, in exchange for monetary compensation.
At the same time, the use of these solutions as part of commercial projects, engineering works, research activities, or services is expressly permitted, provided that the solutions themselves are not the primary object of sale, licensing, or rental.
This license is intended to support open science, engineering practice, and the free exchange of knowledge, while preventing unauthorized commercial exploitation of the digital solutions as independent products.
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[ua] Будь ласка, поділіться своїми враженнями про цей продукт. Якщо маєте питання, долучіться до нашого Discord-серверу або напишіть нам email.
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[ua] Будь ласка, поділіться своїми враженнями про цей продукт. Якщо маєте питання, долучіться до нашого Discord-серверу або напишіть нам email.
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[en] Please share your impressions of this product. If you have any questions, join our Discord server or send us an email.
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[ua] Будь ласка, поділіться своїми враженнями про цей продукт. Якщо маєте питання, долучіться до нашого Discord-серверу або напишіть нам email.
---
[ua] Будь ласка, поділіться своїми враженнями про цей продукт. Якщо маєте питання, долучіться до нашого Discord-серверу або напишіть нам email.
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