Approximation Schemes for Subset Sum Ratio Problems

14 Mar 2020 Melissinos Nikolaos Pagourtzis Aris Triommatis Theofilos

We consider the Subset Sum Ratio Problem ($SSR$), in which given a set of integers the goal is to find two subsets such that the ratio of their sums is as close to~1 as possible, and introduce a family of variations that capture additional meaningful requirements. Our main contribution is a generic framework that yields fully polynomial time approximation schemes (FPTAS) for problems in this family that meet certain conditions... (read more)

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  • DATA STRUCTURES AND ALGORITHMS