一维装箱生成超启发式迁移学习研究

Darius Scheepers, N. Pillay
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引用次数: 3

摘要

本文研究了迁移学习在离散优化的遗传规划生成建设性超启发式中的应用,即一维装箱问题(1BPP)。源超启发式算法求解Scholl基准集中的简单和中等问题实例,目标超启发式算法求解同一基准集中的困难问题实例。性能是根据客观值来评估的,即箱的数量,计算工作量和超启发式的通用性。本研究首先比较了两种迁移学习方法的性能,这两种迁移学习方法先前被证明是有效的,用于生成建设性的超启发式,用于一维装箱问题。这两种方法都比不使用迁移学习表现得更好,该方法将每一代源超启发式的最佳元素转移到目标超启发式(TL2)中,产生最佳结果。然后研究了在搜索空间的一个区域而不是搜索空间中的一个点上转移知识。为此目的制定和评价了三种方法。其中两种方法能够在10个问题实例中的3个上提高TL2的客观值性能。
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A Study of Transfer Learning in a Generation Constructive Hyper-Heuristic for One Dimensional Bin Packing
The research presented in this paper investigates the use of transfer learning in a genetic programming generation constructive hyper-heuristic for discrete optimisation, namely, the one dimensional bin packing problem (1BPP). The source hyper-heuristic solves easy and medium problem instances from the Scholl benchmark set and the target hyper-heuristic solves the hard problem instances in the same benchmark set. Performance is assessed in terms of objective value, i.e. the number of bins, computational effort and generality of the hyper-heuristic. This study firstly compares the performance of two transfer learning approaches previously shown to be effective for generation constructive hyper-heuristics, for the one dimensional bin packing problem. Both these approaches performed better than not using transfer learning, with the approach transferring the best elements from each generation of the source hyper-heuristic to the target hyper-heuristic (TL2) producing the best results. The study then investigated transferring knowledge on an area of the search space rather than a point in the search space. Three approaches were developed and evaluated for this purpose. Two of these approaches were able to improve the performance of TL2 on three of the ten problem instances with respect to objective value.
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