Computers and Technology, 14.04.2020 19:21 tristanortonubca

One key element in the construction of the fully polynomial-time approximation scheme for the knapsack problem was the ability to compute lower and upper bounds for the optimal value that are within a factor of n of each other (using the maximum value piece that fits in the knapsack to get the lower bound). Use the result of the previous exercise to derive a refined approximation scheme that eliminates one factor of n in the running time of the algorithm.

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