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A problem in combinatorial optimization. Given a set of items with both weight and value, determine the number of each item to include in a collection so that the total weight is at most a given limit and the value of the collection is maximized.

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Why is Ibarra Kim for 0/1 knapsack an fully polynomial time approximation scheme (FPTAS)?

The input to 0/1 knapsack is a list of $n$ items each with a weight $w_i$ and value $v_i$ with knapsack size $W$ and maximum value $V$. Thus the input list has size $O(n (\log W + \log V))$. So $n \ …
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