Chapter 6, Problem P12P

a.

Explanation of Solution

The formula to calculate the efficiency for pure and slotted ALOHA is:

%calculating efficiency of slotted aloha
efficiencySA = (N * p .*(1 - p ).^(N - 1));

%calculating efficiency of pure aloha
efficiencyPA = (N * p .* ((1 - p).^(2*(N - 1))));

The below program is used to find the efficiency for Pure ALOHA and slotted ALOHA for the value “N = 15”.

Program:

%Give value for N

N = 15;

%Give linspace
p = linspace(0.001, 0.999, 200);

%calculating efficiency of slotted aloha
efficiencySA = (N * p ...

b.

Explanation of Solution

The formula to calculate the efficiency for pure and slotted ALOHA is:

%calculating efficiency of slotted aloha
efficiencySA = (N * p .*(1 - p ).^(N - 1));

%calculating efficiency of pure aloha
efficiencyPA = (N * p .* ((1 - p).^(2*(N - 1))));

The below program is used to find the efficiency for Pure ALOHA and slotted ALOHA for the value “N = 25”.

Program:

%Give value for N

N = 25;

%Give linspace
p = linspace(0.001, 0.999, 200);

%calculating efficiency of slotted aloha
efficiencySA = (N * p ...

c.

Explanation of Solution

The formula to calculate the efficiency for pure and slotted ALOHA is:

%calculating efficiency of slotted aloha
efficiencySA = (N * p .*(1 - p ).^(N - 1));

%calculating efficiency of pure aloha
efficiencyPA = (N * p .* ((1 - p).^(2*(N - 1))));

The below program is used to find the efficiency for Pure ALOHA and slotted ALOHA for the value “N = 35”.

Program:

%Give value for N

N = 35;

%Give linspace
p = linspace(0.001, 0.999, 200);

%calculating efficiency of slotted aloha
efficiencySA = (N * p ...