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August 19th, 2019, 05:39 PM  #1 
Newbie Joined: Aug 2019 From: US Posts: 1 Thanks: 0  Optimization Problem with Exponential Form (double terms)
Hello, Could anybody help me with this optimization problem? I want to minimize sum(s=1,S) a_s * exp(b_s*x_s) + c_s * exp(d_s*x_s) subject to the constraint: sum(s=1,S) x_s = A I am supposed to find x_s which makes the statement minimized. a_s, b_s, c_s, d_s, and A values are constants in the problem. Example: it is like finding the minimum value for x^ax^b+4x+3 by finding the proper x based on other constants. (a and b) Thank you very much for your attention and time! 
August 19th, 2019, 06:25 PM  #2 
Senior Member Joined: Jun 2019 From: USA Posts: 213 Thanks: 90 
There was a similar question not too long ago. Replace x_S with [A  sum(s=1,S1) x_s]. Now it's just minimising a single function with respect to S1 variables. Long and tedious, but straightforward. (That's what computers are for. ) 

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double, exponential, form, optimization, problem, terms 
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