probability data distribution randomly or with some probability

I have 10,000 Electric vehicles(EVs) now I want to distribute them in 24hours(day) one-hour interval, this shows the arrival time of vehicles like mostly Evs comes nearby 9-10 hours(9-10am)(40-50%) and then in afternoon around 13-14 hours (1-2pm) it may be 20-30% and remaining in evening time maximum at 16-17 hours(4-5pm). or can I distribute these EVs according to this following curve patterns(only consider yellow curve) in matlab,

Answer 1

[Torsten]

Let a(j) be the number of vehicles arriving between hour j-1 and hour j (j=1,...,24). So a is a row vector with 24 element.

Then do the following:

b(1)=0;
b(2:25)=cumsum(a(1:24));
b=b/b(25);
r=rand(1,10000);
random=interp1(b,linspace(0,24,25),r);

"random" gives you 10000 arrival times which lie between 0 and 24. If random(i) lies between integers j-1 and j (1<=j<=24)) means that the car arrives between hour j-1 and hour j.

Best wishes

Torsten.

[MUKESH KUMAR]

Thanks but how can I define a(j) function according to an assumption that in each hour that numbers of EVs are coming and after that plot similar curve? and the only time period is 24 hours, not 25.

[Torsten]

But the number of EVs between hour j-1 and j (thus a(j)) is the y-value of your graphics from above, isn't it ?

Best wishes

Torsten.

[MUKESH KUMAR]

but I also can not plot the curve and how to find a particular EV located in which particular hour to assign it a energy consumption value at charging station ? thanks for reply