二维矩形条带装箱问题的底部左齐择优匹配算法

针对二维矩形条带装箱问题提出了一种启发式布局算法,即底部左齐择优匹配算法(lowest-level left align best fit,简称LLABF). LLABF算法遵循最佳匹配优先原则,该原则综合考虑完全匹配优先、宽度匹配优先、高度匹配优先、组合宽度匹配优先及可装入优先等启发式规则.与BL(bottom-left),IBL(improved-bottom-left)与BLF(bottom-left-fill)等启发算法不同的是,LLABF能够在矩形装入过程中自动选择与可装区域匹配的下一个待装矩形     

用于二维不规则排样的离散临界多边形模型

提出了一个用于求解二维不规则排样问题的离散临界多边形模型.Burke等人的BLF算法是求解排样问题的一种有效算法,但其算法对一些特殊实例会产生非法的解.为了解决这个问题,提出了一种基于离散临界多边形模型,并对其正确性作了严格证明.新模型是只含有点和区间的简单模型,在大大降低原问题几何复杂性的同时,也使许多启发式策略可以更容易地求解该问题.计算结果表明,基于离散临界多边型模型的排样算法是很有效的.     

大众审美影响下乡土商品运用传统包装的商业价值探析

随着民族文化得到不断的重视和提倡,涌现了一股文化回归的浪潮,具有浓郁淳朴气息的传统包装也越来越多的走向市场,本文基于时代发展的大背景下,结合中国民族的审美特点,以乡土商品运用传统包装为例,试析在大众审美影响下,传统包装所蕴含的商业价值。     

矩形件带排样的一种遗传算法

采用遗传算法解决矩形件带排样问题,用带符号的有序整数串作为初始种群个体,改善了初始个体解的质量．提出基于最低水平线的择优插入算法,在解码过程中动态地调整个体中的零件顺序,选取最适合的零件进行填充,使零件排放紧凑,提高了材料的利用率．对20多道基准排样例题的实验计算结果表明,文中算法速度快,所得排样方案的材料利用率高．最后提出利用该算法解决VLSI模块布局问题的方法框架．     

分支定价方法求解带二维装箱约束的车辆路径问题EI北大核心CSCD

面向家具、电器等货物的物流配送场景,研究带二维装箱约束的车辆路径问题(2L–CVRP),构建了2L–CVRP的混合整数线性规划模型.为求解大规模2L–CVRP,构建了该问题集合划分模型,提出基于分支定价的方法.针对分支节点的松弛模型,基于列生成策略将其分解为线性规划主问题、带资源和二维装箱约束的最短路径子问题,并提出基于ng-route松弛策略的标签算法和基于禁忌搜索的装箱算法有效求解复杂子问题.仿真结果表明,提出的方法可高效求解大规模2L–CVRP,其中ng-route松弛策略能有效提升算法求解效率,研究成果为装箱约束下大规模车辆路径问题的高效求解提供了有效途径.     

Creation of Faceted Polyhedral Microgels from Compressed Emulsions

Compressed monodisperse emulsions in confined space exhibit highly ordered structures. The influence of the volume fraction and the confinement geometry on the organized structures is investigated and the mechanism by which structural transition occurs is studied. Based on the understanding of ordering behavior of compressed emulsions, a simple and high‐throughput method to fabricate monodisperse polyhedral microgels using the emulsions as the template is developed. By controlling the geometry of the confined spaces, a variety of shapes such as hexagonal prism, Fejes Toth honeycomb prism, truncated octahedron, pyritohedron, and truncated hexagonal trapezohedron are implemented. Moreover, the edge sharpness of each shape is controllable by adjusting the drop volume fraction. This design principle can be readily extended to other shapes and materials, and therefore provides a useful means to create polyhedral microparticles for both fundamental study and practical applications.     

基于分组策略的多目标三维装箱算法

目的 针对现有三维装箱算法优化目标单一、优化效率低的问题,提出适用于求解大规模货物装载问题的多目标装箱算法,以提高装箱规划效率,确保货物运输安全。方法 考虑5种现实约束条件,以体积利用率和装载垛型重心偏移量为优化目标,建立多目标货物装载优化模型。采用拟人式装箱对货物进行预分组,减小决策空间,然后结合分组信息与装箱算法生成初始解;引入数据驱动的装箱交叉算子提高算法收敛性;设计多策略变异算子提高算法结果的多样性。结果 以公共数据集和真实航空货物数据作为实验数据进行实验。实验结果表明,在满足多种约束条件下,集装箱装载强异构货物平均体积利用率达到92.0%,重心位置空间偏移从20 cm减少到7.5 cm,并且算法运行时间减少了73.5%。结论 本文所提算法应用于求解大规模多目标三维装箱问题,提高了装箱质量和效率,可为三维装箱算法的工程应用提供参考。     

Quasi-physical global optimization method for solving the equal circle packing problem

The equal circle packing problem is a well-known challenge in geometry.It is also a natural,clear and fair test system for global optimization.This paper presents a quasi-physical global optimization algorithm for solving the equal circle packing problem.The algorithm simulates two kinds of movements of N elastic disks: smooth movement driven by elastic pressures and violent movement driven by strong repulsive forces and attractive forces.The smooth movement makes the disks reach a locally optimal configura...     

Adaptive beam search lookahead algorithms for the circular packing problem

This paper addresses the circular packing problem (CPP), which consists in packing n circles C_i, each of known radius r_i, i∈N={1, …, n}, into the smallest containing circle C. The objective is to determine the radius r of C as well as the coordinates (x_i, y_i) of the center of C_i, i∈N. CPP is solved using two adaptive algorithms that adopt a binary search to determine r, and a beam search to check the feasibility of packing n circles into C when the radius is fixed at r. A node of level ?, ?=1, …, n, of the beam search tree corresponds to a partial packing of ? circles of N into C. The potential of each node of the tree is assessed using a lookahead strategy that, starting with the partial packing of the current node, assigns each unpacked circle to its maximum hole degree position. The beam search stops either when the lookahead strategy identifies a feasible packing or when it has fathomed all nodes. The computational tests on a set of benchmark instances show the effectiveness of the proposed adaptive algorithms.