 My Math Forum linear programming - I have a question for 1 constraint

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 May 15th, 2015, 05:25 AM #1 Newbie   Joined: May 2015 From: Italy Posts: 1 Thanks: 0 linear programming - I have a question for 1 constraint Hi All, I am developing software to solve a linear programming problem (for my team Athletic) and I can not find the mathematical representation for one of the constraints. The problem is the following: Maximize score of team presenting: - Scores of at least 12 different competitions - Maximum 18 scores - For each competition, you can submit as 2 scores - For every athlete can submit as 2 scores So we have a list of scores Score 1: High Jump, Athlete 1, Points: 500 (x1) Score 2: High Jump, Athlete 2 Points: 600 (x2) Score 3: Long Jump, Athlete 1, Points: 750 (x3) Score 4: Disco, athlete 3 Points: 600 (x4) Score 5: Disco, athlete 2 Points: 500 (x5) Score 6: High Jump, Athlete 4 Points: 700 (x6) etc. etc. etc. What I did was to consider each score as a variable to obtain an objective function max 500*x1 + 600*x2 + 750*x3 + 600*x4 + . + m*xn and then set various constraints on the variables so that they can take as value only 0 or 1 Constraint on the maximum number of competition: x1 + x2 + x3 + x4 + x5 + ... + xn<=18 Constraint on each athlete: x1 + x3<=2 .... x2 + x5<=2 Constraint on each competition: x1 + x2 + x6<=2 ... x4 + x5<=2 I can not find a mathematical representation of the constraint to take at least 12 different competitions Can anyone help me? Thank you and have a nice day Tags constraint, linear, programming, question 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 cmc120 Linear Algebra 0 October 15th, 2014 09:04 AM tomd Linear Algebra 1 July 25th, 2012 12:22 AM psybernetic Algebra 1 January 26th, 2012 02:37 PM xdeathcorex Linear Algebra 0 January 24th, 2011 09:08 AM OPMnerd Linear Algebra 0 December 12th, 2010 08:54 PM

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