Optimized Packing Clusters of Objects in a Rectangular Container
 作者： T. Romanova,  A. Pankratov,  I. Litvinchev,  Yu. Pankratova,  I. Urniaieva 刊名： Mathematical Problems in Engineering, 2019, Vol.2019 来源数据库： Directory of Open Access Journals DOI： 10.1155/2019/4136430 原始语种摘要： A packing (layout) problem for a number of clusters (groups) composed of convex objects (e.g., circles, ellipses, or convex polygons) is considered. The clusters have to be packed into a given rectangular container subject to nonoverlapping between objects within a cluster. Each cluster is represented by the convex hull of objects that form the cluster. Two clusters are said to be nonoverlapping if their convex hulls do not overlap. A cluster is said to be entirely in the container if so is its convex hull. All objects in the cluster have the same shape (different sizes are allowed) and can be continuously translated and rotated. The objective of optimized packing is constructing a maximum sparse layout for clusters subject to nonoverlapping and containment conditions for clusters and... objects. Here the term sparse means that clusters are sufficiently distant one from another. New quasi-phi-functions and phi-functions to describe analytically nonoverlapping, containment and distance constraints for clusters are introduced. The layout problem is then formulated as a nonlinear nonconvex continuous problem. A novel algorithm to search for locally optimal solutions is developed. Computational results are provided to demonstrate the efficiency of our approach. This research is motivated by a container-loading problem; however similar problems arise naturally in many other packing/cutting/clustering issues.

• cluster
• problem　题目
• nonoverlapping　不重叠
• optimal　最佳的
• rotated　修]轮流[排
• convex　凸起的
• constructing　合组
• packing　充填
• entirely　完全地
• layout　草图