 My Math Forum Optimization Problem with Exponential Form (double terms)
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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^a-x^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,S-1) x_s]. Now it's just minimising a single function with respect to S-1 variables. Long and tedious, but straightforward. (That's what computers are for. ) Tags double, exponential, form, optimization, problem, terms Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post pmms12585 Differential Equations 2 March 11th, 2019 12:54 PM Naz Complex Analysis 4 July 25th, 2015 05:25 PM RuxyB Applied Math 0 September 18th, 2014 05:52 AM variatnik Abstract Algebra 1 August 11th, 2012 09:56 PM mathkid Calculus 1 December 31st, 1969 04:00 PM

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