Traffic generation using poissrnd()

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Jaya
Jaya 2021-8-9
评论： Jaya 2021-8-18
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

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Prachi Kulkarni
Prachi Kulkarni 2021-8-12
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
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Prachi Kulkarni
Prachi Kulkarni 2021-8-18
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);

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