<s>
IBM	O
ILOG	B-Application
CPLEX	I-Application
Optimization	O
Studio	O
(	O
often	O
informally	O
referred	O
to	O
simply	O
as	O
CPLEX	B-Application
)	O
is	O
an	O
optimization	O
software	O
package	O
.	O
</s>
<s>
The	O
CPLEX	B-Application
Optimizer	O
was	O
named	O
for	O
the	O
simplex	B-Algorithm
method	I-Algorithm
as	O
implemented	O
in	O
the	O
C	B-Language
programming	I-Language
language	I-Language
,	O
although	O
today	O
it	O
also	O
supports	O
other	O
types	O
of	O
mathematical	O
optimization	O
and	O
offers	O
interfaces	O
other	O
than	O
C	B-Language
.	O
It	O
was	O
originally	O
developed	O
by	O
Robert	O
E	O
.	O
Bixby	O
and	O
sold	O
commercially	O
from	O
1988	O
by	O
CPLEX	B-Application
Optimization	O
Inc	O
.	O
</s>
<s>
CPLEX	B-Application
continues	O
to	O
be	O
actively	O
developed	O
by	O
IBM	O
.	O
</s>
<s>
The	O
IBM	O
ILOG	B-Application
CPLEX	I-Application
Optimizer	O
solves	O
integer	B-Algorithm
programming	I-Algorithm
problems	I-Algorithm
,	O
very	O
large	O
linear	B-Algorithm
programming	I-Algorithm
problems	I-Algorithm
using	O
either	O
primal	O
or	O
dual	O
variants	O
of	O
the	O
simplex	B-Algorithm
method	I-Algorithm
or	O
the	O
barrier	O
interior	B-Algorithm
point	I-Algorithm
method	I-Algorithm
,	O
convex	O
and	O
non-convex	O
quadratic	B-Algorithm
programming	I-Algorithm
problems	O
,	O
and	O
convex	O
quadratically	O
constrained	O
problems	O
(	O
solved	O
via	O
second-order	B-Algorithm
cone	I-Algorithm
programming	I-Algorithm
,	O
or	O
SOCP	B-Algorithm
)	O
.	O
</s>
<s>
The	O
CPLEX	B-Application
Optimizer	O
has	O
a	O
modeling	O
layer	O
called	O
Concert	O
that	O
provides	O
interfaces	O
to	O
the	O
C++	B-Language
,	O
C#	B-Application
,	O
and	O
Java	B-Language
languages	I-Language
.	O
</s>
<s>
There	O
is	O
a	O
Python	B-Language
language	I-Language
interface	O
based	O
on	O
the	O
C	B-Language
interface	O
.	O
</s>
<s>
The	O
CPLEX	B-Application
Optimizer	O
is	O
accessible	O
through	O
independent	O
modeling	O
systems	O
such	O
as	O
AIMMS	B-Application
,	O
AMPL	B-Language
,	O
GAMS	B-Application
,	O
OptimJ	B-Application
and	O
TOMLAB	B-Application
.	O
</s>
<s>
In	O
addition	O
to	O
that	O
AMPL	B-Language
provides	O
an	O
interface	O
to	O
the	O
CPLEX	B-Application
CP	O
Optimizer	O
.	O
</s>
<s>
The	O
full	O
IBM	O
ILOG	B-Application
CPLEX	I-Application
Optimization	O
Studio	O
consists	O
of	O
the	O
CPLEX	B-Application
Optimizer	O
for	O
mathematical	O
programming	O
,	O
the	O
CP	O
Optimizer	O
for	O
constraint	O
programming	O
,	O
the	O
Optimization	B-Application
Programming	I-Application
Language	I-Application
(	O
OPL	O
)	O
,	O
and	O
a	O
tightly	O
integrated	O
IDE	O
.	O
</s>
<s>
Prior	O
to	O
IBM	O
acquiring	O
ILOG	O
,	O
the	O
CPLEX	B-Application
team	O
published	O
a	O
release	O
history	O
of	O
CPLEX	B-Application
.	O
</s>
<s>
+	O
Version	O
Release	O
Date	O
Key	O
Features	O
22.1.1	O
December	O
,	O
2022	O
Python	B-Language
3.7	O
support	O
dropped	O
,	O
new	O
solver	O
parameter	O
added	O
.	O
</s>
<s>
22.1.0	O
March	O
,	O
2022	O
Python	B-Language
3.9	O
and	O
3.10	O
support	O
added	O
,	O
new	O
solver	O
parameters	O
added	O
.	O
</s>
<s>
12.6.2	O
June	O
,	O
2015	O
Performance	O
improvements	O
(	O
mainly	O
for	O
SOCP	B-Algorithm
,	O
MISOCP	O
,	O
non-convex	O
QP	O
)	O
,	O
support	O
for	O
cloud	O
based	O
optimization	O
.	O
</s>
<s>
12.4	O
November	O
,	O
2011	O
Deterministic	O
time	O
limit	O
support	O
,	O
duals	O
for	O
SOCPs	B-Algorithm
,	O
quadratic	O
expression	O
API	O
in	O
Concert	O
,	O
performance	O
improvements	O
across	O
all	O
algorithms	O
,	O
but	O
especially	O
MIP	O
.	O
</s>
<s>
Includes	O
connectors	O
for	O
Python	B-Language
,	O
MATLAB	O
and	O
Excel	O
.	O
</s>
<s>
11.0	O
October	O
,	O
2007	O
Breakthrough	O
performance	O
gains	O
for	O
mixed	O
integer	B-Algorithm
programming	I-Algorithm
(	O
MIP	O
)	O
models	O
and	O
enhanced	O
parallel	O
MIP	O
optimization	O
.	O
</s>
<s>
10.0	O
January	O
,	O
2006	O
Performance	O
improvements	O
in	O
the	O
primal	O
simplex	O
and	O
barrier	B-Algorithm
methods	I-Algorithm
,	O
as	O
well	O
as	O
the	O
MIP	O
optimizer	O
.	O
</s>
<s>
9.0	O
December	O
,	O
2003	O
Performance	O
improvements	O
in	O
primal	O
and	O
dual	O
simplex	B-Algorithm
methods	I-Algorithm
and	O
the	O
MIP	O
optimizer	O
.	O
</s>
<s>
8.0	O
July	O
,	O
2002	O
MIP	O
performance	O
improvements	O
and	O
support	O
for	O
mixed	O
integer	O
quadratic	B-Algorithm
programs	I-Algorithm
.	O
</s>
<s>
7.5	O
December	O
,	O
2001	O
ILOG	O
Concert	O
Technology	O
for	O
Java	B-Language
users	O
.	O
</s>
<s>
7.0	O
October	O
,	O
2000	O
ILOG	O
Concert	O
Technology	O
for	O
C++	B-Language
users	O
.	O
</s>
<s>
6.5	O
March	O
,	O
1999	O
Significant	O
performance	O
improvements	O
in	O
primal	O
and	O
dual	O
simplex	B-Algorithm
methods	I-Algorithm
,	O
and	O
ILOG	B-Application
CPLEX	I-Application
Mixed	O
Integer	O
Optimizer	O
.	O
</s>
<s>
6.0	O
April	O
,	O
1998	O
Significant	O
performance	O
improvements	O
in	O
primal	O
and	O
dual	O
simplex	B-Algorithm
methods	I-Algorithm
,	O
and	O
CPLEX	B-Application
Barrier	O
Optimizer	O
.	O
</s>
<s>
5.0	O
September	O
,	O
1997	O
New	O
memory	O
model	O
for	O
easy	O
C++	B-Language
integration	O
.	O
</s>
<s>
4.0.5	O
March	O
,	O
1996	O
Parallel	O
CPLEX	B-Application
Mixed	O
Integer	O
Solver	O
is	O
introduced	O
.	O
</s>
<s>
3.0.8	O
March	O
,	O
1995	O
Parallel	O
CPLEX	B-Application
Barrier	O
Solver	O
is	O
introduced	O
.	O
</s>
<s>
3.0	O
April	O
,	O
1994	O
CPLEX	B-Application
Barrier	O
Solver	O
is	O
introduced	O
.	O
</s>
<s>
2.1	O
March	O
,	O
1993	O
Introduction	O
of	O
CPLEX	B-Application
Presolve	O
algorithms	O
.	O
</s>
<s>
1.2	O
1991	O
Support	O
for	O
the	O
dual	O
simplex	B-Algorithm
method	I-Algorithm
and	O
CPLEX	B-Application
Mixed	O
Integer	O
Optimizer	O
.	O
</s>
