generate random numbers between limits and satisfy condition

Hello All,

I am trying to generate two sets of 16 length random number sequences.

x1, x2, x3 ...x16

y1, y2, y3 ...y16

Conditions:

(x,y) lies between 5000 and 6000

The separation between x(n) and x(n+1) should be between +/-(20 - 100). It need not be equally spaced.

The separation between x(n) and y(n) should be +/- 300. The y(n) also should belong to 5000 - 6000 range

I need to check how many such sets can satisfy these conditions.

Kindly help me with a logic or the best way to implement in MATLAB

Answer 1

[KSSV]

How about something like this?

a = 5000 ; b = 6000 ;
x = zeros(1,16) ; 

x(1) = randi([a b],1,1) ; 


for i = 2:16
    x(i) = randi([x(i-1)+20 x(i-1)+100],1,1) ;         
end
diff(x)

[mounika]

 a = 5000;
b = 6000;

x(1) = randi([a b],1,1);

for i = 2:16
    
    x(i) = randi([x(i-1)-20 x(i-1)+100],1,1);
end
 x

x =

  Columns 1 through 10

        5916        5991        6087        6146        6130        6212        6305        6367        6438        6507

  Columns 11 through 16

        6534        6593        6593        6658        6641        6654

 5916-5991

ans =

   -75

 6087-5991

ans =

    96

 6654-6641

ans =

    13
        

Thank you for your time and prompt response. It does generate numbers between the range, but the difference is not maintained between 20 and 100, As shown above, I got difference between two consequitive numbers as 13.

Also if the x and y separation needs to be maintained, only then I can consider x and y sequences. It has to meet all the conditions to be eligible.

Kindly advise. Thanks in Advance.

[KSSV]

Edited the code.... generating y you have to try. :)

[mounika]

Thank you again for your respone. I generated Y sequence. but the diff is not maintained for Y. (Please see the attached screenshot)

Also, I was wondering by doing [x(i-1)+20 x(i-1)+100] aren't we missing out the other numbers as in,

if x(i-1) = 5510,

x(i-1)+20 = 5530, aren't we missing x(i-1)-20 = 5490. Similarly for x(i-1)+100.

Also, it is important that x(i-1)+20 / x(i-1) -20/ x(i-1)+100 / x(i-1)-100 should belong to the range of 5000 and 6000

By ignoring those numbers, Am i going to miss number of sequences that can be formed with these conditions. Kindly advise