Improved approximation for two dimensional strip packing with polynomial bounded width

作者: Malin Rau , Klaus Jansen

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摘要: We study the well-known two-dimensional strip packing problem. Given is a set of rectangular axis-parallel items and width $W$ with infinite height. The objective to find these into strip, which minimizes Lately, it has been shown that lower bound $3/2$ absolute approximation ratio can be beaten when we allow pseudo-polynomial running-time type $(n W)^{f(1/\varepsilon)}$. If polynomially bounded by number items, this polynomial running-time. present algorithm $4/3 +\varepsilon$ running time W)^{1/\varepsilon^{\mathcal{O}(2^{1/\varepsilon})}}$.

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