论文标题

伪人类算法,以最大程度地减少多台相关机器上的最大迟到

A Pseudopolynomial Algorithm to Minimize Maximum Lateness on Multiple Related Machines

论文作者

Du, Elbert, Zhang, Stan

论文摘要

在本文中,我们将找到一种伪型算法来解决$ qm \ qm \ mid \ mid l _ {\ max} $,然后我们将证明,在多项式时间中不可能获得任何恒定因素近似,因此也不可能解决这个问题的PTA。我们还将证明,当我们不假设固定数量的机器时,问题是$ p \ p \ id \ ind \ mid l _ {\ max} $,这是强烈的np-hard。

In this paper, we will find a pseudopolynomial algorithm to solve $Qm \mid \mid L_{\max}$ and then we will prove that it is impossible to get any constant-factor approximation in polynomial time, and thus also impossible to have a PTAS for this problem. We will also show that the the problem when we don't assume a fixed number of machines, $P \mid \mid L_{\max}$, is strongly NP-hard.

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