frequCheck 3

-->l=3,n=4,N=2048,show=0,[DIST2,STD, MEAN, FREQ,STD1, MEAN1, FREQ1,FX,
POPX]=frequCheck(l,n,N,show)
 l  =
 
    3.  
 n  =
 
    4.  
 N  =
 
    2048.  
 show  =
 
    0.  
 
    0.    944.     0.1152344    92.1875    
    1.    1051.    0.1282959    102.63672  
    2.    1057.    0.1290283    103.22266  
    3.    1087.    0.1326904    106.15234  
    4.    1028.    0.1254883    100.39063  
    5.    1052.    0.1284180    102.73438  
    6.    980.     0.1196289    95.703125  
    7.    993.     0.1212158    96.972656  
Number of Events n * N = 8192
 POPX  =
 
    1.    1.    1.    7.  
    0.    1.    0.    2.  
    1.    0.    0.    4.  
    0.    0.    0.    0.  
 FX  =
 
    0.    944.     0.1152344    92.1875    
    1.    1051.    0.1282959    102.63672  
    2.    1057.    0.1290283    103.22266  
    3.    1087.    0.1326904    106.15234  
    4.    1028.    0.1254883    100.39063  
    5.    1052.    0.1284180    102.73438  
    6.    980.     0.1196289    95.703125  
    7.    993.     0.1212158    96.972656  
 FREQ1  =
 
    0.1326904    1.  
    0.1290283    1.  
    0.1284180    1.  
    0.1282959    1.  
    0.1254883    1.  
    0.1212158    1.  
    0.1196289    1.  
    0.1152344    1.  
 MEAN1  =
 
    0.125  
 STD1  =
 
    0.0058149  
 FREQ  =
 
    106.15234    1.  
    103.22266    1.  
    102.73438    1.  
    102.63672    1.  
    100.39063    1.  
    96.972656    1.  
    95.703125    1.  
    92.1875      1.  
 MEAN  =
 
    100.  
 STD  =
 
    4.6519063  
 DIST2  =
 
    6.9824219

If one includes mutation in gassimple0() then the data of empirical experiments show a different outcome depending from the frequency of the application of the mutation operator (cf. diagram 3.6.1). If one uses the mutation operator every 512 cycles (MT=512) then the results are more worse than without the mutation operator. If one selects MT=1024 then the results are better compared with MT=512, but not better than without the application of the mutation operator.

DIST2	gassimple0()	frequCheck()	gassimple0()+Mut-512	gassimple0()+Mut-1024
1	56.054688	3.8085938	98.486328	27.978516
2	100.83008	2.6855469	150.73242	132.42188
3	6.4453125	6.9824219	137.64648	61.625482

Increasing N to $N=4048$ with $MT=1024$ and $MT=2048$ and comparing it (row 2) with frequCheck() with $N=4048$ and with the original values of gassimple0() without mutation (row 1) with $N=2028$.

DIST2	gassimple0()	frequCheck()	gassimple0()+Mut-1024	gassimple0()+Mut-2048
1	56.054688	4.743083	101.13636	125.44466
2	100.83008	2.6679842	104.02668	80.113636
3	6.4453125	3.7796443n	51.408103	131.76877