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2 stage convex problem (max-min) (1 viewing) (1) Guest
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TOPIC: 2 stage convex problem (max-min)
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Re: 2 stage convex problem (max-min) 2 Years, 2 Months ago
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Karma: 0
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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
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Re: 2 stage convex problem (max-min) 2 Years, 2 Months ago
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Karma: 32
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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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lofberg
Platinum Boarder
Posts: 2280
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