<s>
ANTIGONE	B-Application
(	O
Algorithms	O
for	O
coNTinuous	O
/	O
Integer	O
Global	O
Optimization	O
of	O
Nonlinear	O
Equations	O
)	O
,	O
is	O
a	O
deterministic	O
global	O
optimization	O
solver	O
for	O
general	O
Mixed-Integer	O
Nonlinear	O
Programs	O
(	O
MINLP	O
)	O
.	O
</s>
<s>
ANTIGONE	B-Application
is	O
an	O
evolution	O
of	O
GloMIQO	O
,	O
a	O
global	O
Mixed-Integer	O
Quadratic	O
Programming	O
solver	O
written	O
by	O
Ruth	O
Misener	O
.	O
</s>
<s>
ANTIGONE	B-Application
extends	O
the	O
functionality	O
of	O
GloMIQO	O
to	O
general	O
MINLP	O
problems	O
.	O
</s>
<s>
Like	O
all	O
deterministic	O
global	O
optimization	O
software	O
,	O
ANTIGONE	B-Application
is	O
a	O
toolbox	O
of	O
many	O
techniques	O
in	O
order	O
to	O
tackle	O
different	O
special	O
cases	O
of	O
nonlinear	O
structure	O
.	O
</s>
<s>
That	O
being	O
said	O
,	O
it	O
is	O
predominantly	O
a	O
branch-and-bound	B-Algorithm
solver	O
.	O
</s>
<s>
With	O
the	O
exception	O
of	O
special	O
cases	O
of	O
optimization	O
problems	O
(	O
for	O
instance	O
convex	O
NLPs	O
)	O
which	O
can	O
be	O
solved	O
at	O
the	O
root	O
node	O
of	O
the	O
branch-and-bound	B-Algorithm
algorithm	I-Algorithm
,	O
ANTIGONE	B-Application
will	O
initiate	O
a	O
branch	B-Algorithm
and	I-Algorithm
bound	I-Algorithm
procedure	O
.	O
</s>
<s>
ANTIGONE	B-Application
employs	O
classic	O
factorable	O
programming	O
techniques	O
to	O
generate	O
relaxations	O
,	O
e.g.	O
,	O
McCormick	O
Relaxations	O
,	O
as	O
well	O
as	O
contemporary	O
algorithms	O
,	O
such	O
as	O
the	O
Reformulation-Linearisation	O
Technique	O
(	O
RLT	O
)	O
,	O
Edge	O
Convex/Concave	O
relaxations	O
,	O
and	O
Alpha	O
BB	O
cuts	O
.	O
</s>
<s>
ANTIGONE	B-Application
also	O
possesses	O
a	O
dynamic	O
cut	O
generator	O
,	O
which	O
generates	O
and	O
handles	O
locally	O
and	O
globally	O
valid	O
cuts	O
.	O
</s>
<s>
Like	O
all	O
deterministic	O
global	O
optimization	O
software	O
,	O
ANTIGONE	B-Application
requires	O
the	O
user	O
to	O
provide	O
the	O
explicit	O
mathematical	O
expressions	O
for	O
all	O
the	O
functions	O
used	O
in	O
the	O
problem	O
,	O
as	O
well	O
as	O
initial	O
bounds	O
for	O
all	O
variables	O
.	O
</s>
<s>
If	O
initial	O
bounds	O
are	O
not	O
supplied	O
,	O
ANTIGONE	B-Application
will	O
attempt	O
to	O
infer	O
bounds	O
,	O
but	O
global	O
optimality	O
is	O
not	O
guaranteed	O
.	O
</s>
<s>
ANTIGONE	B-Application
can	O
only	O
solve	O
differentiable	O
functions	O
,	O
and	O
can	O
not	O
solve	O
trigonometric	O
problems	O
.	O
</s>
<s>
ANTIGONE	B-Application
is	O
part	O
of	O
the	O
GAMS	B-Application
modelling	O
platform	O
.	O
</s>
<s>
Using	O
GAMS/ANTIGONE	O
requires	O
an	O
ANTIGONE	B-Application
license	O
,	O
a	O
CPLEX	B-Application
license	O
,	O
and	O
a	O
CONOPT	O
or	O
SNOPT	B-Application
license	O
.	O
</s>
