<s>
In	O
mathematics	O
,	O
a	O
semi-infinite	B-Algorithm
programming	I-Algorithm
(	O
SIP	O
)	O
problem	O
is	O
an	O
optimization	O
problem	O
with	O
a	O
finite	O
number	O
of	O
variables	O
and	O
an	O
infinite	O
number	O
of	O
constraints	O
.	O
</s>
<s>
In	O
a	O
generalized	B-Algorithm
semi-infinite	I-Algorithm
programming	I-Algorithm
(	O
GSIP	B-Algorithm
)	O
problem	O
,	O
the	O
feasible	O
set	O
of	O
the	O
parameters	O
depends	O
on	O
the	O
variables	O
.	O
</s>
<s>
In	O
the	O
special	O
case	O
that	O
the	O
set	O
:	O
is	O
nonempty	O
for	O
all	O
GSIP	B-Algorithm
can	O
be	O
cast	O
as	O
bilevel	O
programs	O
(	O
Multilevel	O
programming	O
)	O
.	O
</s>
