Contents
1 Problem 1:
3
2 Problem 2:
5
3 Problem 3:
3.1 MATLAB’s script: . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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4 Problem 4:
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1
Assignment 1
Name:Muhammad Faraz ul Abrar
Class: BEE 9 D
CMS: 219377
October 26, 2020
2
1
Problem 1:
3
4
2
Problem 2:
5
6
3
Problem 3:
(a)
The Erlang’s B formula is given by:
B=
AN
N!
Pi=N
Ai
i=0 i!
where A=Traffic Intensity in Erlangs ; N= Number of Trunked Channels
This formula requires factorial calculation which sometimes becomes very complex
to calculate as N gets large. Thus a Recursive approach shown below solves as given
in [1]:
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The above implementation has been done in MATLAB as required in part (a):
3.1
MATLAB’s script:
Function:
(a) Erlang B function
(b) Erlang B for given 3 systems
Figure 1: MATLAB code for Erlang B with recursive approach
Plot:
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4
Problem 4:
References
[1] Elieser Ernesto Martı́nez. Recursion applied to the erlang b formula for determining the telephone exchanges grade of service. 11 2017.
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