<s>
The	B-Application
GNU	I-Application
Linear	I-Application
Programming	I-Application
Kit	I-Application
(	O
GLPK	B-Application
)	O
is	O
a	O
software	B-Application
package	I-Application
intended	O
for	O
solving	O
large-scale	O
linear	B-Algorithm
programming	I-Algorithm
(	O
LP	O
)	O
,	O
mixed	O
integer	O
programming	O
(	O
MIP	O
)	O
,	O
and	O
other	O
related	O
problems	O
.	O
</s>
<s>
It	O
is	O
a	O
set	O
of	O
routines	O
written	O
in	O
ANSI	O
C	B-Language
and	O
organized	O
in	O
the	O
form	O
of	O
a	O
callable	O
library	B-Library
.	O
</s>
<s>
The	O
package	O
is	O
part	O
of	O
the	B-Application
GNU	I-Application
Project	I-Application
and	O
is	O
released	O
under	O
the	O
GNU	B-License
General	I-License
Public	I-License
License	I-License
.	O
</s>
<s>
GLPK	B-Application
uses	O
the	O
revised	O
simplex	O
method	O
and	O
the	O
primal-dual	O
interior	B-Algorithm
point	I-Algorithm
method	I-Algorithm
for	O
non-integer	O
problems	O
and	O
the	O
branch-and-bound	B-Algorithm
algorithm	I-Algorithm
together	O
with	O
Gomory	O
's	O
mixed	O
integer	O
cuts	O
for	O
(	O
mixed	O
)	O
integer	O
problems	O
.	O
</s>
<s>
GLPK	B-Application
was	O
developed	O
by	O
Andrew	O
O	O
.	O
Makhorin	O
( Андрей	O
Олегович	O
Махорин	O
)	O
of	O
the	O
Moscow	O
Aviation	O
Institute	O
.	O
</s>
<s>
Version	O
1.1.1	O
contained	O
a	O
library	B-Library
for	O
a	O
revised	O
primal	O
and	O
dual	O
simplex	O
algorithm	O
.	O
</s>
<s>
Version	O
2.0	O
introduced	O
an	O
implementation	O
of	O
the	O
primal-dual	O
interior	B-Algorithm
point	I-Algorithm
method	I-Algorithm
.	O
</s>
<s>
Version	O
2.2	O
added	O
branch	B-Algorithm
and	I-Algorithm
bound	I-Algorithm
solving	O
of	O
mixed	O
integer	O
problems	O
.	O
</s>
<s>
Version	O
2.4	O
added	O
a	O
first	O
implementation	O
of	O
the	O
GLPK/L	O
modeling	O
language	O
.	O
</s>
<s>
Version	O
4.0	O
replaced	O
GLPK/L	O
by	O
the	O
GNU	B-Application
MathProg	I-Application
modeling	O
language	O
,	O
which	O
is	O
a	O
subset	O
of	O
the	O
AMPL	B-Language
modeling	O
language	O
.	O
</s>
<s>
Since	O
version	O
4.0	O
,	O
GLPK	B-Application
problems	O
can	O
be	O
modeled	O
using	O
GNU	B-Application
MathProg	I-Application
(	O
GMPL	O
)	O
,	O
a	O
subset	O
of	O
the	O
AMPL	B-Language
modeling	O
language	O
used	O
only	O
by	O
GLPK	B-Application
.	O
</s>
<s>
However	O
,	O
GLPK	B-Application
is	O
most	O
commonly	O
called	O
from	O
other	O
programming	O
languages	O
.	O
</s>
