There is the task "To build a model of the system ..., in which the moments of arrival of customers have a normal distribution ...". Explain, please, what does this mean? Googled, found a couple of formulas about probabilities, but none of them is a function of time, or I did not understand something. As a result, I did this: every minute the people arrive by N more than the previous one, so until the middle of the time interval, then it starts to arrive at N less. This is not at all right? I did it only because the Laplace function looks like this, but in general I am not even sure that it relates to this issue :) In general, help, please?

    1 answer 1

    I would do this:

    customer arrival times are normal

    Here we must understand as follows: the probability of a client arriving at one time or another has a normal distribution.

    It is known that for the normal distribution we need two parameters: average ( mu ) and deviation from the average ( sigma squared ). They must be entered somehow from the conditions, for example, 0 (this is the time when customers usually arrive) and 1 (this is how much they usually deviate from the specified time).

    More interesting is how to find the value of the normal distribution when there is only a uniform one (the standard random function returns a random value from a uniform distribution). It is possible, for example, as p3.3

    Now (when the function F is determined, which returns the probability of occurrence of customers from time), we can say how many customers ( K ) will arrive at time t (it will only be necessary to assume how many customers A are )

    K(t) = F(t)*A
    • Do you mean formula (8) on that site? Thanks for the explanation. - elfinorr
    • Well, I had to introduce the entire paragraph 3.3 and in particular the formula 8. - Vladislav Pyatkov