<s>
Parametric	B-Algorithm
programming	I-Algorithm
is	O
a	O
type	O
of	O
mathematical	O
optimization	O
,	O
where	O
the	O
optimization	O
problem	O
is	O
solved	O
as	O
a	O
function	O
of	O
one	O
or	O
multiple	O
parameters	O
.	O
</s>
<s>
Depending	O
on	O
the	O
nature	O
of	O
and	O
and	O
whether	O
the	O
optimization	O
problem	O
features	O
integer	O
variables	O
,	O
parametric	B-Algorithm
programming	I-Algorithm
problems	O
are	O
classified	O
into	O
different	O
sub-classes	O
:	O
</s>
<s>
If	O
constraints	O
are	O
affine	B-Algorithm
,	O
then	O
additional	O
classifications	O
depending	O
to	O
nature	O
of	O
the	O
objective	O
function	O
in	O
(	O
multi	O
)	O
parametric	O
(	O
mixed-integer	O
)	O
linear	O
,	O
quadratic	O
and	O
nonlinear	O
programming	O
problems	O
is	O
performed	O
.	O
</s>
<s>
Note	O
that	O
this	O
generally	O
assumes	O
the	O
constraints	O
to	O
be	O
affine	B-Algorithm
.	O
</s>
<s>
The	O
connection	O
between	O
parametric	B-Algorithm
programming	I-Algorithm
and	O
model	O
predictive	O
control	O
established	O
in	O
2000	O
has	O
contributed	O
to	O
an	O
increased	O
interest	O
in	O
the	O
topic	O
.	O
</s>
<s>
Parametric	B-Algorithm
programming	I-Algorithm
supplies	O
the	O
idea	O
that	O
optimization	O
problems	O
can	O
be	O
parametrized	O
as	O
functions	O
that	O
can	O
be	O
evaluated	O
(	O
similar	O
to	O
a	O
lookup	O
table	O
)	O
.	O
</s>
<s>
Parametric	B-Algorithm
programming	I-Algorithm
in	O
the	O
context	O
of	O
CNC	O
(	O
computer	O
numerical	O
control	O
)	O
is	O
defining	O
part-cutting	O
cycles	O
in	O
terms	O
of	O
variables	O
with	O
reassignable	O
values	O
rather	O
than	O
via	O
hardcoded/hardwired	O
instances	O
.	O
</s>
