https://github.com/mpogotsky/erlangtrafficcalculator

Calculate probability of blocking based on Erland model in systems with connection losses
https://github.com/mpogotsky/erlangtrafficcalculator

matlab python tkinter

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Calculate probability of blocking based on Erland model in systems with connection losses

• Host: GitHub
• URL: https://github.com/mpogotsky/erlangtrafficcalculator
• Owner: MPogotsky
• Created: 2021-11-08T06:46:30.000Z (over 3 years ago)
• Default Branch: master
• Last Pushed: 2022-09-02T19:40:10.000Z (over 2 years ago)
• Last Synced: 2025-02-16T07:26:15.817Z (3 months ago)
• Topics: matlab, python, tkinter
• Language: HTML
• Homepage:
• Size: 122 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# ErlangTrafficCalculator

A program for determining the blocking factor in systems with loss of messages described by the Erlang model.

# Basic concepts

**Erlang model** - stochnistic model used for traffic analysis in queuing systems.

The model allows you to estimate the probability (or factor) of a lock, a situation where the client can not be served at the given parameters of the model.

The program uses a recursive formula to calculate the lock factor:

![image](https://user-images.githubusercontent.com/60144533/140714471-1c885024-bb55-4d85-b664-98b58b41cb62.png)

Where:

* P(A,N) - probability of blockage

* A - is a number representing the average traffic value (in Erlang).

* N - is the number of channels.

# Model assumptions

* Independent generation of requests by sources (subscribers do not decide that they will call together at a fixed time),

* Request handling time (e.g. phone call) is exponential,

* The service is FIFO (first in first out) – requests are handled in the order they arrive.

Literature:

1. [EN] Wikipedia.org, Erlang(unit): Erlang B formula, from 23.09.2021.

    https://en.wikipedia.org/wiki/Erlang_(unit)#Erlang_B_formula

2. [PL] Wikipedia.org, Model Erlanga: Model Erlang B, from 07.07.2018.

    https://pl.wikipedia.org/wiki/Model_Erlanga