Ejercicios Modelos y Simulacion

UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MÉXICO


MODELOS Y SIMULACIÓN


MAESTRO OSWALDO GARCÍA SALGADO


“SERIE DE EJERCICIOS”








1.- DETERMINE EL CICLO O PERIODO DE VIDA DE LOSSIGUIENTES GENERADORES CONGRUENTES.
a) Xi+1= (21Xi + 15) mod(31) CON Xo=21


Xi
Ri
vida
22


12
0.38709677
1
19
0.61290323
2
11
0.35483871
3
29
0.93548387
4
4
0.12903226
5
60.19354839
6
17
0.5483871
7
0
0
8
15
0.48387097
9
20
0.64516129
10
1
0.03225806
11
5
0.16129032
12
27
0.87096774
13
24
0.77419355
14
23
0.74193548
15
2
0.06451613
16
260.83870968
17
3
0.09677419
18
16
0.51612903
19
10
0.32258065
20
8
0.25806452
21
28
0.90322581
22
14
0.4516129
23
30
0.96774194
24
25
0.80645161
25
13
0.41935484
26
90.29032258
27
18
0.58064516
28
21
0.67741935
29
22
0.70967742
30
12
0.38709677
1


b) Xi+1= (13Xi + 9) mod(128) CON Xo=7

Xi
RI
VIDA
100


29
0.2265625
1
2
0.015625
2
350.2734375
3
80
0.625
4
25
0.1953125
5
78
0.609375
6
127
0.9921875
7
124
0.96875
8
85
0.6640625
9
90
0.703125
10
27
0.2109375
11
104
0.8125
12
81
0.6328125
13
38
0.29687514
119
0.9296875
15
20
0.15625
16
13
0.1015625
17
50
0.390625
18
19
0.1484375
19
0
0
20
9
0.0703125
21
126
0.984375
22
111
0.8671875
23
44
0.34375
24
69
0.5390625
2510
0.078125
26
11
0.0859375
27
24
0.1875
28
65
0.5078125
29
86
0.671875
30
103
0.8046875
31
68
0.53125
32
125
0.9765625
33
98
0.765625
34
3
0.0234375
35
48
0.375
36121
0.9453125
37
46
0.359375
38
95
0.7421875
39
92
0.71875
40
53
0.4140625
41
58
0.453125
42
123
0.9609375
43
72
0.5625
44
49
0.3828125
45
6
0.046875
46
87
0.6796875
47116
0.90625
48
109
0.8515625
49
18
0.140625
50
115
0.8984375
51
96
0.75
52
105
0.8203125
53
94
0.734375
54
79
0.6171875
55
12
0.09375
56
37
0.2890625
57
106
0.828125...