Traffic generation using poissrnd()

I generate 24 numbers using possrnd as below

lambda=50
r = poissrnd(lambda,1,24)
% One output is 47  58  45  52  57  44  53  54  43  48  57  44  69  58  35  66  60  44  47  47  45  48  51  43

Can I use this output as a Possion distributed traffic over 24 hours? I am confused on how to generate a Possion arrival traffic as I see other stuff like creating exponentially distributed RVs and then inter-arrival times, etc. Please advise me

Answer 1

[Prachi Kulkarni]

Hi,

For arrival traffic over a single set of 24 hours with mean "lambda", you can use-

r = poissrnd(lambda);

For arrival traffic for 24 separate hours, each with mean "lambda", you can use-

r = poissrnd(lambda,1,24);  

For more details regarding the "poissrnd" function or the Poisson distribution in general, please refer to the following documentation

poissrnd

Poisson Distribution

[Jaya]

With the commands you gave, do you mean the logic behind the below two codes are similar then?

for i=1:24
r(i) = poissrnd(lambda);
end
                %AND
r = poissrnd(lambda,1,24); 

[Prachi Kulkarni]

Hi,

Both the code snippets you provided represent the same scenario. They are modeling the arrival traffic in each hour separately. This is shown below-

r = poissrnd(lambdaHour,1,24); % The mean traffic in each hour is lambdaHour

To model arrival traffic for a full day i.e. 24 hours, you will need to generate a single Poisson random variable. The mean of this random variable should be 24 times the mean for a single hour i.e. 24*lambdaHour. This is shown below-

r = poissrnd(24*lambdaHour);

[Jaya]

Thanks a lot!