I think SDP can be useful .
Convert the bunary variables as continuous variables by imposing an quadratic equality constraint
p1^2-p1=0
p2^2-p2=0
min
c'*x
subject to
x'*Qi*x+q'*x<=0: i=1,2,,,,m
can be formulated as SDP.
If Qi is positive semidefinite cvxopt will solve the problem.
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Yes This is the general way.Thank you..
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