基于学习增强的无关机调度完工时间近似算法 / Learning-Augmented Approximation for Unrelated-Machines Makespan Scheduling
1️⃣ 一句话总结
本文针对无关机调度中的最小化完工时间问题,设计了一种结合机器学习预测的近似算法,在预测准确时达到接近最优的1+ε近似比,预测误差增大时平滑退化为最坏情况下的2倍近似,并通过实验验证了方法的有效性。
Recently, Antoniadis et al. (ICLR 2025) proposed a framework for incorporating predictions to approximate NP-hard selection problems. Despite its simplicity, this approach tightly matches theoretical lower bounds, making its generalization highly compelling. We address an open question raised in the work of Antoniadis et al., concerning the extension of this approach to other important problems outside the class of selection problems, such as scheduling. We develop a learning-augmented algorithm for the makespan minimization problem on unrelated machines, denoted by $R\|C_{\max}$. By using predictions of heavy job assignments, we achieve a polynomial-time $(1+\varepsilon)$-approximation for accurate predictions that smoothly degrades to a worst-case 2-approximation as the error increases. We conclude our work with an empirical analysis of our method.
基于学习增强的无关机调度完工时间近似算法 / Learning-Augmented Approximation for Unrelated-Machines Makespan Scheduling
本文针对无关机调度中的最小化完工时间问题,设计了一种结合机器学习预测的近似算法,在预测准确时达到接近最优的1+ε近似比,预测误差增大时平滑退化为最坏情况下的2倍近似,并通过实验验证了方法的有效性。
源自 arXiv: 2606.13133