The Knapsack Problem

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The Knapsack Problem is a combinatorial optimization problem. With the "fantasy sports/fantasy basketball" variation of the knapsack problem, my objective is to optimize the players selected with the ultimate goal being to score the maximum number of fantasy points.

Playing fantasy sports "quantitatively" has two components. The first to build the statistical models to project how many fantasy points a player will produce. For this exercise, the player projections will come from the Basketball Monster site.

The second is determining which players to choose from the given projections. This is where the knapsack problem comes into play. Players are selected based on their projected point production versus their cost.

Think of an algorithm as a recipe. Like a recipe, you have ingredients (constraints) and you have instructions prepare and combine the ingredients.