README.md

Erlang Calculator

Description

This project provides a simple Erlang B and C calculator. It's designed to calculate the blocking and delay probabilities in telecommunications traffic.

Features

• Calculation of Erlang B (Blocking Probability).
• Calculation of Erlang C (Delay Probability).

Mathematical Formulas

Erlang B Formula

Erlang B formula (Blocking Probability, ( B )):

$$B=\frac{1}{\sum _{k=0}^N\frac{N!}{k!(N-k)!}{\left(\frac{A}{N}\right)}^k}$$

Where:

• ( A ) is the offered traffic in Erlangs.
• ( N ) is the number of servers.

Result

When the traffic load is 5 Erlangs and there is 2 servers:

Erlang C Formula

Erlang C formula (Delay Probability, ( C )):

$$C=\frac{P\times \frac{A}{N-A+A\times P}}{1-P\times (1-\frac{A}{N})}$$

Where:

• ( P ) is the probability of delay (obtained from Erlang B formula).
• ( A ) is the offered traffic in Erlangs.
• ( N ) is the number of servers.

Result

When the traffic load is 5 Erlangs and there is 2 servers:

Installation

Ensure you have Python and Matplotlib installed. Install Matplotlib using pip:

pip install matplotlib