arXiv:2505.03323cs.LG2025-05

价值型强化学习在调度问题中表现更稳定,泛化能力更强。

Unraveling the Rainbow: can value-based methods schedule?

  • 采用价值函数方法优化调度决策,提升稳定性
  • 在更大规模和不同结构问题上泛化效果更好
  • 适合关注算法鲁棒性与跨场景适用性的研究者

本文针对作业车间与柔性作业车间调度两大经典组合优化问题,对多种深度强化学习算法进行了大规模实证研究。深度强化学习主要分为策略梯度与价值函数两类。尽管价值函数方法在游戏领域表现优异,但组合优化领域长期偏好策略梯度方法。实验表明,价值函数方法具有更低方差和更稳定的收敛性;在跨规模、跨分布的泛化能力上显著优于策略梯度方法,能有效解决训练时未见的大规模或结构差异问题。分析还发现,两类算法的相对表现受问题灵活性与规模等结构特性影响。研究挑战了‘策略梯度天然更优’的假设,表明价值函数方法可媲美甚至超越策略梯度方法,应获得组合优化领域的更多关注。代码开源:https://github.com/AJ-Correa/Unraveling-the-Rainbow

原文摘要 · Abstract (English)

In this work, we conduct an extensive empirical study of several deep reinforcement learning algorithms on two challenging combinatorial optimization problems: the job-shop and flexible job-shop scheduling problems, both fundamental challenges with multiple industrial applications. Broadly, deep reinforcement learning algorithms fall into two categories: policy-gradient and value-based. While value-based algorithms have achieved notable success in domains such as the Arcade Learning Environment, the combinatorial optimization community has predominantly favored policy-gradient algorithms, often overlooking the potential of value-based alternatives. From our results, value-based algorithms demonstrated a lower variance and a more stable convergence profile compared to policy-gradient ones. Moreover, they achieved superior cross-size and cross-distribution generalization, that is, effectively solving instances that are substantially larger or structurally distinct from those seen during training. Finally, our analysis also suggests that the relative performance of each category of algorithms may be dependent on structural properties of the problem, such as problem flexibility and instance size. Overall, our findings challenge the prevailing assumption that policy-gradient algorithms are inherently superior for combinatorial optimization. We show instead that value-based algorithms can match or even surpass the performance of policy-gradient algorithms, suggesting that they deserve greater attention from the combinatorial optimization community. Our code is openly available at: https://github.com/AJ-Correa/Unraveling-the-Rainbow

强化学习调度优化价值函数

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