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// Example 3.7
// To find a)number of users per square km b)probability that delayed call have to wait longer than t=10sec c)probability that call is delayed more than 10 sec
// Page 85
clc;
clear;
// Given data
R=1.387; // Radius of cell in m
Area=2.598*R^2; // Area of hexagonal cell in m^2
cellpercluster=4; // Number of cells/cluster
channels=60; // Number of channels
channelspercell=channels/cellpercluster; // Number of channels per cell
// a)To find number of users per square km
A=0.029; // Traffic intensity per user
delayprob=0.05; // Grade of service
traffic=9; // Traffic intensity from Erlang chart C
U1=traffic/A; // Total number of users in 5sq.km.
U=round(U1/Area); // Number of users per square km
// Displaying the result in command window
printf('\n Number of users per square km in given system = %0.0f users/sq km',U);
// b)To find the probability that delayed call have to wait longer than t=10sec
lambda=1; // Holding time
H1=A/lambda; // Duration of call
H=H1*3600; // Duration of call in second
t=10;
Pr=exp(-(channelspercell-traffic)*t/H)*100; // probability that delayed call have to wait longer than t=10sec.
// Displaying the result in command window
printf('\n \n Percentage of probability that delayed call have to wait longer than t=10 sec = %0.2f percent',Pr);
// c)To find the probability that call is delayed more than 10 sec
Pr10=delayprob*Pr; // probability that call is delayed more than 10 sec
// Displaying the result in command window
printf('\n \n Percentage of probability that call is delayed more than 10 sec = %0.2f percent',Pr10);
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