| 1. | Mutual optimization of the rectangle layout in the nesting system
矩形件优化排样系统中的交互寻优处理 |
| 2. | Discrete particle swarm algorithm for the rectangular strip packing problem
离散粒子群优化算法求解矩形件排样问题 |
| 3. | So the problem is easier to solve by transforming irregular shapes layout problem into rectangles layout problem , and it still has nice efficiency
因此，将异形件转化为矩形件后处理布局能简化问题，并保证良好布局效果。 |
| 4. | At present the method of dealing with it directly is hard to design and the relevant computation is enormous , there are some mature algorithms to solve rectangles layout problem
目前，直接处理异形件布局问题的算法设计难度和计算量较大，而矩形件布局已有一些成熟算法。 |
| 5. | Numerical examples shows the efficiency of the lhl method . two meta - heuristic hybrid algorithms are given that integrated lhl method with genetic algorithm and simulating annealing algorithm separately
将该方法分别与遗传算法、模拟退火算法相结合，提出了矩形件排样问题的复合算法。 |
| 6. | A approximate algorithm is presented by which satisfactory results of two dimensional optimal layout belonged to np complete problems can be obtained efficiently and rapidly
摘要针对理论上属于np完全问题的二维矩形件优化排样问题，构建了一个排样效率高、计算速度快和排样效果好的一种近似算法。 |
| 7. | Because the number of rectangle can only be estimated in advance , so probably there is some rectangle exceeding the boundary because of allotting too much rectangle or too fewer rectangles is allotted results in the waste of material
由于自动排样系统事先只能初步估计待排矩形件的数目，所以自动排样系统产生的排样图可能会因排入的零件太多而使得个别零件超出板材，或因排入的零件太少而使板材无法排满。 |
| 8. | During the development , problems of actual layout have been considered , both the method using the experiential value of fitness function to identify the number of the initial rectangle parts and the method of magnifying rectangle parts to eliminate the influence of cutting gap have been advanced
在开发过程中，全面考虑了实际排样所面临的种种问题，提出了用适应度函数经验值来估计初始可排矩形件数目的方法；用矩形件放大的方法来消除切缝对排样图的影响。 |
| 9. | The paper dealt with the optimal design problem of stock layout patterns of saw cutting blanking for rectangular pieces of a single size , proposed a kind of optimal layout method of rectangular pieces of a single size , pointed out the mathematical basis , selective conditions of the optimal solution and layout disposal of the particular solution
摘要讨论单一尺寸矩形件锯切下料排样方式的最优设计问题，提出一种单一尺寸矩形件优化排样方法，给出这一排样方法的数学依据、优化解的选择条件和特殊解的排样处理。 |
