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Limitations of Incremental Dynamic Programming
2013
Algorithmica
We consider so-called "incremental" dynamic programming algorithms, and are interested in the number of subproblems produced by them. The classical dynamic programming algorithm for the Knapsack problem is incremental, produces nK subproblems and nK 2 relations (wires) between the subproblems, where n is the number of items, and K is the knapsack capacity. We show that any incremental algorithm for this problem must produce about nK subproblems, and that about nK log K wires (relations between
doi:10.1007/s00453-013-9747-6
fatcat:wfkdrnhdffadnjmntzfomfy2zy