My Math Forum Complex Fantasy Pick 'Em

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 November 30th, 2015, 06:48 AM #1 Newbie   Joined: Nov 2015 From: USA Posts: 2 Thanks: 0 Complex Fantasy Pick 'Em I am working on a project that requires a method for determining which player should be drafted in a fantasy football round. There are 2 criteria that must be adhered to and the other information is used to make the best decision. They are as follows: Player Name Player Cost (Each Player assigned a "point" cost) Expected Point Production Position Average Pick Position (How quickly they get picked generally) The criteria that must be met is as follows: Pick 10 Positions Stay Under 100 Total Cost Must have 1 QB, 2 RB, 2 WR, 1 TE, 1 Kicker, 1 Defense, 1 Flexible (WR or RB) The goal is obviously to get as many expected points as possible, while not going over budget and filling all of the positions. The reason Avg Pick position is important is because if player X picks 8th spot, but a player isn't expected to be picked until the 20th spot, the player may be wiser to select a different position that technically would earn less points, but would be expected to come off the board sooner. Is there a method that exists to determine something like this? Does anyone know the logic and could explain it to me? Thanks! Edit: To begin with, it would be ok to exclude the "average pick position" from the logic and assume we only have the other criteria. Last edited by tomrippity; November 30th, 2015 at 07:01 AM.
 December 3rd, 2015, 12:39 PM #2 Newbie   Joined: Nov 2015 From: USA Posts: 2 Thanks: 0 In case anyone was wondering, the Knapsack Problem ended up being the solution I was looking for. Thanks!

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