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Human-Derived Heuristic Enhancement of an Evolutionary Algorithm for the 2D Bin-Packing Problem

机译:二维装箱问题的进化算法的人为启发式增强

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The 2D Bin-Packing Problem (2DBPP) is an NP-Hard combinatorial optimisation problem with many real-world analogues. Fully deterministic methods such as the well-known Best Fit and First Fit heuristics, stochastic methods such as Evolutionary Algorithms (EAs), and hybrid EAs that combine the deterministic and stochastic approaches have all been applied to the problem. Combining derived human expertise with a hybrid EA offers another potential approach. In this work, the moves of humans playing a gamified version of the 2DBPP were recorded and four different Human-Derived Heuristics (HDHs) were created by learning the underlying heuristics employed by those players. Each HDH used a decision tree in place of the mutation operator in the EA. To test their effectiveness, these were compared against hybrid EAs utilising Best Fit or First Fit heuristics as well as a standard EA using a random swap mutation modified with a Next Fit heuristic if the mutation was infeasible. The HDHs were shown to outperform the standard EA and were faster to converge than - but ultimately outperformed by - the First Fit and Best Fit heuristics. This shows that humans can create competitive heuristics through gameplay and helps to understand the role that heuristics can play in stochastic search.
机译:2D装箱问题(2DBPP)是具有许多现实世界类似物的NP-Hard组合优化问题。完全确定性的方法(例如众所周知的最佳拟合和首次拟合启发式算法),随机方法(例如进化算法(EA))以及结合了确定性和随机方法的混合EA都已应用于该问题。将派生的人类专业知识与混合EA相结合提供了另一种潜在方法。在这项工作中,记录了人类在游戏化的2DBPP版本中的动作,并通过学习这些参与者使用的基本启发式技术来创建了四个不同的人类启发式算法(HDH)。每个HDH都使用决策树代替EA中的变异算子。为了测试其有效性,将它们与使用Best Fit或First Fit启发式技术的混合EA以及使用使用Next Fit启发式方法修饰的随机交换突变的标准EA(如果该突变不可行)进行了比较。事实证明,HDH的性能优于标准EA,并且融合速度比First Fit和Best Fit启发式方法更快,但最终却胜过其。这表明人类可以通过游戏玩法来创建竞争性启发式方法,并有助于理解启发式方法在随机搜索中可以发挥的作用。

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