The paper based on the idea of K-OPT Algorithm for TSP, present a swap algorithm for the one-dimensional cutting-stock problem.
根据旅行商问题（TSP）的邻域搜索算法的思想，提出了型材下料问题的一种优化算法。
Inspect the stock (or better yet, use a metal detector) before cutting.
在切割之前，检查一下木材，保险起见，最好使用金属探测器检查。
Across the Pacific, waste traders in the United States are shutting mills, cutting production and selling their stock at fire-sale prices.
在太平洋彼岸，美国的破烂王们正在关闭作坊，削减产量并且用跳楼价甩卖他们积攒的废料。
We agree to explore the possibility of cross-cutting Exchange Trade Funds on our respective stock markets.
我们同意探索研究交易型开放式指数基金(etf)在对方国家相互上市的可能性。
When stock markets in the United States, Europe and Asia continued to plunge, the world’s leading central banks on Oct. 8 , with the Federal Reserve cutting its two main rates by half a point.
美国、欧洲和亚洲的股市持续下跌。 10月8日，全球各主要央行联手大幅降息，美联储也降息0.5％。
The stock has declined 21 percent this year, cutting the company’s market value to 25.9 billion euros.
今年诺基亚股票下滑21%，公司市值缩为259亿欧元。
Stock removing velocity and cutting fluid on the tapping for the materials have been studied in the paper, and thus reasonable tapping conditions for practical working could be selected.
我们首先分析两种材料的加工特性，又从丝锥材料、切削速度、 切削液三方面说明了对不锈钢和钛合金材料攻丝加工时的影响和选取方法。
In national economical production, there have a lot of cutting stock problems.
在国民经济生产中，存在着大量的切割下料问题。
Two-dimensional stock cutting problem can be settled by solving two one-dimensional knapsack problems, this paper presents a new algorithm based on the ant colony optimization idea.
基于一维问题的蚂蚁算法，本文将二维矩形件排样问题转化为一维背包问题，然后进行求解。
Cutting stock problem has a wide spectrum of application. This paper gives a full description, classification and analyses the difficulty to solve the problem.
排样问题的应用范围非常广泛，本文从其应用领域、整体描述、名称、分类、求解难度等方面做了分析综述。
Up to now the U. S. rush to buy, or cutting up and swarm, the trend of the stock market, and Vietnam lacks both.
到现在，美国急于购买，或切割，群，股票的市场趋势，以及越南两者都不具备。
After years of high scion and head-changing practice, a set of new technique is generalized about the cutting scion, the grafting time, the stock processing and the management after graft and so on.
经过多a的果树高接换头实践，在接穗切削、嫁接时间、砧木处理、嫁接方法及接后管理等方面，总结出了一套高接换头新技术。
Cutting stock problem exits widely in production. Optimizing cutting stock is a method to improve the using rate of materials and to increase the benefit of industry.
下料问题在生产中普遍存在，优化下料可以提高原材料利用率，是企业增加经济效益的途径之一。
Then, this paper deeply studies the key technology of the cutting stock system for Project Manufacture Enterprises: optimized cutting stock, graph disposal and system integration, etc.
然后针对面向工程项目型制造企业板材下料系统涉及的优化下料、图形处理、系统集成等关键技术进行了较深入研究。
Then, in the second and third problems, this paper discusses two cutting stock problems in which items can be welded.
接下来研究了两个可焊接的排样问题，这两个问题分别是一维可焊接和二维可焊接的排样问题。
While designing the algorithm, we have considered the situation at large. Thus, the algorithm is feasible in solving most of the actual stock cutting problems especially in large scale.
算法设计时考虑了普遍的情况，所以算法在解决大多数实际下料问题，特别是大规模下料问题时是切实有效的。
To resolve the rectangular cutting stock problem, this paper proposes a new greedy algorithm, based on analyzing the main disadvantage of the traditional approximate algorithm.
针对矩形件排样优化问题，分析了传统近似算法的主要缺陷，在此基础上，提出一种新的排样算法——贪婪算法。
This paper discusses the establishment and solution on the model of cutting stock problem and applies this model to production and practice.
论述了下料问题模型的建立及其求解，并把该模型应用于生产实践中。
Constrained two-dimensional stock cutting algorithm based on heuristic regulation is given in this paper.
本文提出了基于启发式规则的有限制二维板材下料算法。
Rectangular stock cutting is the most applied problem in two-dimensional stock cutting problems which are widely existed in industrial application field.
在工业应用领域中存在大量的二维下料问题，其中应用最多的是矩形件下料问题。
In this thesis, genetic algorithms are studied from coding. On the basis of the study genetic algorithms are applied to solving one-dimensional cutting stock problems.
本篇论文在对遗传算法进行分析和研究的基础上，把遗传算法用于一维下料问题的求解。
With the rapid development of national economy in recent years, the one-dimensional cutting stock problem occurs in many industry areas.
近年来，随着国民经济的飞速发展，一维下料问题在建筑、电力、水利等领域获得了越来越广泛的应用。
The cutting stock problem possesses important and widespread application in the engineering techniques and the industrial production.
“下料问题”在工程技术和工业生产中有着重要和广泛的应用。
Besides, a MCU control system is developed and it controls the execution mechanism to carry stock to the right cutting location according to the test result of the computer.
同时开发了单片机控制系统，单片机系统依据计算机发送的检测结果控制执行机构将砧木运送到指定的待切削位置上。
By covering tea cutting stock with various plastic film and observing the effect of different soil-temperature atmospheric-temperature air-humidity on the rooting of tea cutting.
在扦插苗圃用不同颜色的塑料薄膜进行覆盖，观察地温、气温和空气湿度的变化对扦插苗发根的影响。
One-dimensional cutting stock optimization and two-dimensional data sets optimal matching problem are mainly researched in this thesis.
本文主要研究了一维下料优化及二维数据集最佳匹配两大问题。
The algorithm for constrained two dimensional cutting stock problems is modified to generate cutting patterns. The algorithm is described in detail and a method of th...
本文对两维约束排样算法进行修改，使之能生成所述排样问题的切割方式。
This paper describes the development of the software for steel window grid CAD. The key point of which is cutting stock optimization.
介绍了一种网格钢窗CAD软件，其中关键技术是棒材的下料优化。
This paper describes the development of the software for steel window grid CAD. The key point of which is cutting stock optimization.
介绍了一种网格钢窗CAD软件，其中关键技术是棒材的下料优化。
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