Cant Richard, Remi-Omosowon Ayodeji, Langensiepen Caroline, Lotfi Ahmad
School of Science and Technology, Nottingham Trent University, Clifton Lane, Nottingham NG11 8NS, UK.
Descartes Ltd., Thurmaston LE4 9HA, UK.
Entropy (Basel). 2018 Nov 9;20(11):866. doi: 10.3390/e20110866.
In this paper, a novel approach to the container loading problem using a spatial entropy measure to bias a Monte Carlo Tree Search is proposed. The proposed algorithm generates layouts that achieve the goals of both fitting a constrained space and also having "consistency" or neatness that enables forklift truck drivers to apply them easily to real shipping containers loaded from one end. Three algorithms are analysed. The first is a basic Monte Carlo Tree Search, driven only by the principle of minimising the length of container that is occupied. The second is an algorithm that uses the proposed entropy measure to drive an otherwise random process. The third algorithm combines these two principles and produces superior results to either. These algorithms are then compared to a classical deterministic algorithm. It is shown that where the classical algorithm fails, the entropy-driven algorithms are still capable of providing good results in a short computational time.
本文提出了一种新颖的解决集装箱装载问题的方法,该方法使用空间熵度量来偏向蒙特卡洛树搜索。所提出的算法生成的布局既能实现适配受限空间的目标,又具有“一致性”或整洁性,使叉车司机能够轻松地将其应用于从一端装载的实际运输集装箱。分析了三种算法。第一种是基本的蒙特卡洛树搜索,仅由最小化占用集装箱长度的原则驱动。第二种算法使用所提出的熵度量来驱动一个原本随机的过程。第三种算法结合了这两个原则,产生了比前两者都更好的结果。然后将这些算法与经典的确定性算法进行比较。结果表明,在经典算法失败的情况下,熵驱动算法仍能在短计算时间内提供良好的结果。