Establishes a tight double-exponential lower bound for high-multiplicity bin packing parameterized by number of distinct item types d, showing no |I|^{2^{o(d)}} algorithm exists unless ETH fails, via a novel 3-SAT reduction to an ILP with O(log n) variables.
29 Marvin Künnemann, Filip Mazowiecki, Lia Schütze, Henry Sinclair-Banks, and Karol Wegrzycki
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A Tight Double-Exponentially Lower Bound for High-Multiplicity Bin Packing
Establishes a tight double-exponential lower bound for high-multiplicity bin packing parameterized by number of distinct item types d, showing no |I|^{2^{o(d)}} algorithm exists unless ETH fails, via a novel 3-SAT reduction to an ILP with O(log n) variables.