5.1 Bin Packing 5.1.1 the Problem
نویسنده
چکیده
In the previous lecture, we saw how dynamic programming could be employed to obtain an FPTAS for the Knapsack problem. The key idea was to morph the given instance into another instance with additional structure — namely that the item profits weren’t too large — that allowed us to solve it exactly, and such that an optimal solution for the morphed instance could be used to construct a near-optimal solution for the original instance. In this lecture, we will further explore this idea by applying it to the Bin Packing and Euclidean TSP problems. For the Bin Packing problem, our morphed instanced will have a solution space that is small enough to search exhaustively. For the Euclidean TSP problem, we will place geometric contraints on the morphed instance that allow us to solve it exactly using dynamic programming.
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تاریخ انتشار 2007