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2 stage convex problem (max-min)
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TOPIC: 2 stage convex problem (max-min)
#5148
Re: 2 stage convex problem (max-min) 2 Years, 2 Months ago Karma: 0
Thanks for the reply.

%# SINR(i) = (wi'*hi*'*hi*wi)/(wj'*hi'*hi*wj) , i=1,2 and j=1,2
%# gam is some threshold, P some maximum possible value or bound

Objective(w,P):= max min (SINR(i)/gam)
w 1<=i<=2

subject (to w1^2 + w2^2) <= P

%# as I understand target 'gam' are feasible only if Objective(w,P) >=1.

Regards,
Parker
acekris
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#5150
Re: 2 stage convex problem (max-min) 2 Years, 2 Months ago Karma: 32
So you want to maximize over w, but minimize over index.

I.e.

maximize t

s.t
(w1'*h1*'*h1*w1)/(w1'*h1'*h1*w1) > t
(w2'*h1*'*h1*w2)/(w2'*h1'*h1*w2) > t
(w2'*h2*'*h2*w2)/(w2'*h2'*h2*w2) > t
(w1'*h2*'*h2*w1)/(w1'*h2'*h2*w1) > t
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