由于生产高度发展,使得人类经济活动的各个方面都日趋复杂,因之不仅在生产技术方面越来越多地利用近代数学的各方面成就,而且在生产活动本身也逐步提出了利用这些成就的迫切要求,尽可能使之精确化、科学化、自动化。在材料的合理下料问题上,如何有效地利用原材料,提高出材率, Due to the highly developed production, various aspects of human economic activities have become increasingly complex. This has led to the increasing use of achievements in modern mathematics in terms of not only production technology, but also the urgent need to use these achievements in the production activities themselves. The requirements are as precise, scientific, and automated as possible. How to effectively use raw materials and increase the rate of material export on the issue of reasonable material cutting