<s>
A	O
combined	B-Algorithm
linear	I-Algorithm
congruential	I-Algorithm
generator	I-Algorithm
(	O
CLCG	O
)	O
is	O
a	O
pseudo-random	B-Error_Name
number	I-Error_Name
generator	O
algorithm	O
based	O
on	O
combining	O
two	O
or	O
more	O
linear	B-Algorithm
congruential	I-Algorithm
generators	I-Algorithm
(	O
LCG	B-Algorithm
)	O
.	O
</s>
<s>
A	O
traditional	O
LCG	B-Algorithm
has	O
a	O
period	O
which	O
is	O
inadequate	O
for	O
complex	O
system	O
simulation	O
.	O
</s>
<s>
By	O
combining	O
two	O
or	O
more	O
LCGs	B-Algorithm
,	O
random	O
numbers	O
with	O
a	O
longer	O
period	O
and	O
better	O
statistical	O
properties	O
can	O
be	O
created	O
.	O
</s>
<s>
Let	O
Xi	O
,	O
1	O
,	O
Xi	O
,	O
2	O
,	O
...	O
,	O
Xi	O
,	O
k	O
be	O
outputs	O
from	O
k	O
LCGs	B-Algorithm
.	O
</s>
<s>
The	O
CLCG	O
provides	O
an	O
efficient	O
way	O
to	O
calculate	O
pseudo-random	B-Error_Name
numbers	I-Error_Name
.	O
</s>
<s>
The	O
LCG	B-Algorithm
algorithm	O
is	O
computationally	O
inexpensive	O
to	O
use	O
.	O
</s>
<s>
The	O
results	O
of	O
multiple	O
LCG	B-Algorithm
algorithms	O
are	O
combined	O
through	O
the	O
CLCG	O
algorithm	O
to	O
create	O
pseudo-random	B-Error_Name
numbers	I-Error_Name
with	O
a	O
longer	O
period	O
than	O
is	O
achievable	O
with	O
the	O
LCG	B-Algorithm
method	O
by	O
itself	O
.	O
</s>
<s>
LCGs	B-Algorithm
are	O
used	O
with	O
the	O
following	O
properties	O
:	O
</s>
<s>
The	O
seed	O
for	O
the	O
first	O
LCG	B-Algorithm
,	O
,	O
should	O
be	O
selected	O
in	O
the	O
range	O
of	O
[	O
1	O
,	O
2147483562 ]	O
.	O
</s>
<s>
The	O
seed	O
for	O
the	O
second	O
LCG	B-Algorithm
,	O
,	O
should	O
be	O
selected	O
in	O
the	O
range	O
of	O
[	O
1	O
,	O
2147483398 ]	O
.	O
</s>
<s>
The	O
two	O
LCGs	B-Algorithm
are	O
evaluated	O
as	O
follows	O
:	O
</s>
<s>
The	O
maximum	O
period	O
of	O
the	O
two	O
LCGs	B-Algorithm
used	O
is	O
calculated	O
using	O
the	O
formula	O
:	O
.	O
</s>
<s>
This	O
equates	O
to	O
2.1	O
×109	O
for	O
the	O
two	O
LCGs	B-Algorithm
used	O
.	O
</s>
<s>
This	O
represents	O
a	O
tremendous	O
improvement	O
over	O
the	O
period	O
of	O
the	O
individual	O
LCGs	B-Algorithm
.	O
</s>
<s>
Other	O
algorithms	O
using	O
the	O
CLCG	O
method	O
have	O
been	O
used	O
to	O
create	O
pseudo-random	B-Error_Name
number	I-Error_Name
generators	O
with	O
periods	O
as	O
long	O
as	O
3×1057	O
.	O
</s>
