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Cutting stock problem: a heuristic solution based on operators' intuitive strategies

机译:减少库存问题:基于运营商直观策略的启发式解决方案

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The goal of the cutting stock operation is to minimize trim losses, and thus maximize the utilization of material by laying out the maximum possible number of parts on a sheet. In order to maximize the utilization of raw material, different parts, or a number of parts of the same type, are cut from the same sheet. Historically, the laying of parts on a sheet has been performed by humans. Since this job is very time-consuming, there is an increasing interest in automating this process. Automationrequires the development of solutions that can be extended to a variety of parts. The success of mathematical programming techniques in generating optimal solutions, however, has been limited to rectangular parts. Therefore, in recent years a number ofheuristic algorithms have been developed for laying out irregular (asymmetrical), regular (symmetrical) and mixed parts. However, the utilization obtained by such techniques is no higher, and in many cases is lower, than part layouts generated by humanoperators. This study focuses on extracting the human intuitive thought process involved in laying out parts on a sheet. The first experiment, conducted with four near-rectangular convex parts, investigated the feasibility of extracting the humanintuitive thought process involved in laying out parts. The results indicated that it was possible to extract such strategies and formalize them. This prompted a second experiment to determine whether the previously extracted strategies could begeneralized. In addition to convex parts, concave parts and their mix were also considered. The results indicated that it is possible to extract and generalize strategies that lead to higher utilization. The third experiment compared the utilizationobtained from a mathematical algorithm with the utilization obtained in one of the combinations of the second experiment. The fourth experiment compared the utilization obtained from heuristic trained group and un-trained group. It was observed thatheuristic trained group achieved higher utilization than un4ralned group. The proposed heuristic can be used to train new operators for laying out parts on a sheet as well as automating the parts laying out process to maximize sheet utilization.
机译:切削原料操作的目标是最大程度地减少修边损失,从而通过在纸张上布置尽可能多的零件来最大程度地利用材料。为了最大程度地利用原材料,请从同一张纸上切下不同的零件或相同类型的许多零件。从历史上看,零件是在人身上完成的。由于这项工作非常耗时,因此对自动化此过程的兴趣日益浓厚。自动化需要开发可扩展到各个部分的解决方案。但是,数学编程技术在生成最佳解中的成功仅限于矩形部分。因此,近年来,已经开发了许多启发式算法,用于布置不规则(不对称),规则(对称)和混合零件。但是,通过这种技术获得的利用率比人工操作人员生成的零件布局更高,并且在许多情况下更低。这项研究的重点是提取涉及在页面上布置零件的人类直观思维过程。第一个实验是对四个接近矩形的凸形部分进行的,研究了提取涉及布局各个部分的人类直觉思维过程的可行性。结果表明,可以提取此类策略并将其形式化。这促使进行第二次实验以确定先前提取的策略是否可以通用。除了凸部以外,还考虑了凹部及其混合。结果表明,有可能提取和归纳导致更高利用率的策略。第三实验将数学算法获得的利用率与第二实验的组合之一获得的利用率进行了比较。第四个实验比较了启发式训练组和未训练组的利用率。观察到启发式训练组的利用率高于未训练组。所提出的启发式方法可用于培训新的操作员,以便将零件布置在板材上,以及使零件布置过程自动化,以最大程度地利用板材。

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